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A Study of a Moral Dilemma Stories Teaching Model Focusing on the Development of Higher-Order Thinking --"Synthetic polymers" as an example 被引量:1
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作者 Lin Tang Yi Dai 《教育技术与创新》 2024年第1期27-35,共9页
Cultivating students'higher-order thinking is one of the important goals of modern education,and innovative teaching model is an effective way to achieve this goal.Aiming at the inadequacy of the existing moral di... Cultivating students'higher-order thinking is one of the important goals of modern education,and innovative teaching model is an effective way to achieve this goal.Aiming at the inadequacy of the existing moral dilemma stories approach in the transformation of knowledge and behavior,this research constructs a new Project Based Learning-Ethical Dilemma Stories(PBL-EDS)Teaching Model applicable to China's secondary education stage based on the innovative features of the moral dilemma stories approach on the core competencies,taking the chemistry subject as an example to carry out practice,and puts forward suggestions for the implementation of the teaching model.Chemistry as an example to carry out the practice,and suggestions are made for the implementation of the teaching model. 展开更多
关键词 higher-order thinking moral dilemma stories teaching model secondary education
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Teaching Practice Research on Space English under BOPPPS Model from the Perspective of Higher-order Thinking Skills Training
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作者 Fujing Fan 《Review of Educational Theory》 2024年第2期15-18,共4页
It is the core mission of educational reform in the new era to cultivate students’higher order thinking skills.On the basis of clarifying the connotation of higher-order thinking skills,this paper analyzes the intern... It is the core mission of educational reform in the new era to cultivate students’higher order thinking skills.On the basis of clarifying the connotation of higher-order thinking skills,this paper analyzes the internal connection between BOPPPS teaching model and the cultivation of higher-order thinking skills.Then,in line with the 6 teaching steps under BOPPPS,the implementation strategy and specific path of the cultivation of high order thinking skills in Space English teaching practice are elaborated,serving as reference for developing high order thinking skills in other ESP courses. 展开更多
关键词 higher-order thinking skills BOPPPS model English for Specific Purposes(ESP)
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Extended Dissipaton Theory for Higher-Order Bath Couplings and Application to Non-Condon Spectroscopy with Anharmonicity
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作者 Zi-Fan Zhu Yu Su +2 位作者 Yao Wang Rui-Xue Xu YiJing Yan 《Chinese Journal of Chemical Physics》 2026年第1期67-72,I0043,共7页
In this work,we develop an extended dissipaton theory that generalizes the environmental couplings beyond the conventional linear and quadratic forms,enabling the treatment of ar-bitrary order of bath couplings.Ap-ply... In this work,we develop an extended dissipaton theory that generalizes the environmental couplings beyond the conventional linear and quadratic forms,enabling the treatment of ar-bitrary order of bath couplings.Ap-plying this theoretical framework to the condensed-phase non-Condon spectroscopy,we demonstrate the in-terplay of anharmonicity,non-Con-don and solvent effects on optical spectra,where the higher-order cou-plings arise from the anharmonicity of nuclear potential surface of the excited state.Precise simulations are carried out with high efficiency on linear absorption spectra involving the above mentioned correlated effects.We exhibit how an anharmonic potential modulates the vibronic feature,offering insights into the role of nonlinear environmental couplings in spectroscopic signatures and exemplifying the success of the extended dissipaton formalism as an exact and efficient method for higher-or-der bath couplings. 展开更多
关键词 Quantum dissipation higher-order nonlinear bath couplings Anharmonic and non-Gaussian bath Non-Condon spectroscopy
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Gamification as a strategy in nursing clinical supervision for developing critical reflective thinking
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作者 Sílvia Caldas Regina Gonçalves +2 位作者 Renata Silva Adriana Taveira Ana Paula Macedo 《International Journal of Nursing Sciences》 2026年第1期68-76,I0006,共10页
Objectives This study aimed to analyse the benefits of a gamified clinical supervision strategy during hospital-based training,particularly regarding the development of critical and reflective thinking among undergrad... Objectives This study aimed to analyse the benefits of a gamified clinical supervision strategy during hospital-based training,particularly regarding the development of critical and reflective thinking among undergraduate nursing students.Methods From April to July 2023,second-year nursing students who undertaking a nine-week clinical placement in a cardiology ward in northern Portugal were selected.Following a two-week diagnostic phase,students participated in a six-week gamified supervision programme comprising weekly 60-min sessions:infection-control decision-making;technical-procedural reasoning;guided emotional and ethical reflection;and clinical reasoning quiz on cardiology topics.Students completed weekly Structured Reflection Guide entries;supervisors recorded structured field notes after each session;and,after the intervention,students answered a post-intervention questionnaire and participated in focus groups.Qualitative data(reflections,field notes,open-ended questionnaire items,and focus-group transcripts)were analyzed using Bardin’s content analysis;quantitative questionnaire items were summarized descriptively.Results All seven students completed the six gamified sessions and submitted weekly reflection entries.Five students(71.4%)completed the questionnaire.Across data sources,students reported that gamified activities supported knowledge consolidation,teamwork,and clinical reasoning.Questionnaire data showed that all respondents(n=5,100%)strongly agreed that gamification enhanced their learning and should be maintained in clinical training.Reflections and focus groups revealed recurring themes related to emotional expression,sense of belonging,and difficulties using structured reflection tools,particularly in terms of comprehension and timing.Conclusion The gamified supervision strategy integrated into clinical training provided structured opportunities for practical engagement,collaborative work,and guided reflection.These findings suggest that gamification may support the development of reflective and critical-thinking processes in authentic clinical environments. 展开更多
关键词 Clinical supervision Competencies Critical thinking GAMIFICATION Nursing students
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The Cultivation of Caring Thinking in Education for the Re-Creation of the Democratic Human Being
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作者 Alexandros Theodoridis 《Philosophy Study》 2026年第1期1-17,共17页
In a world growing ever more cruel and violent as nihilism becomes generalized,a world in which the disintegration of the human assumes dimensions that threaten its very cohesion,the demand for the humanization of the... In a world growing ever more cruel and violent as nihilism becomes generalized,a world in which the disintegration of the human assumes dimensions that threaten its very cohesion,the demand for the humanization of the Western individual asserts itself as an urgent historical task.Among the institutions implicated in this process,education assumes a central role,as it is within it that wonder and critical thinking are gradually eliminated,together with the demand for shared deliberation,coherent meaning,and the tragic dimension of human existence,while an education of cruelty comes to permeate it from end to end.In order to prevent the full entrenchment of evil in the social world,from which only destruction can be expected,a decisive role could be played by caring thinking that would be coordinated with corresponding action and would come to deeply characterize the educational institution.Such a form of thinking was proposed in the second half of the twentieth century and took flesh and bones within the framework of the Philosophy for Children movement.Its contemporary application within educational practice could reactivate phronesis(practical wisdom)and contribute to enabling the Western human being to re-create themselves as a democratic human being-one who desires the creation of a world of freedom,equality,and justice,and who acts accordingly to bring it about:the creation of a compassionate and prudent world,the preservation of which would be the responsibility of all. 展开更多
关键词 Western world EDUCATION CRUELTY VIOLENCE caring thinking democratic human being
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Facilitator or Barrier?A Systematic Review on the Relationship between Artificial Intelligence Technologies and the Development of Critical Thinking Skills 被引量:2
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作者 Haoming Lin Wei Wei Handan Lu 《教育技术与创新》 2025年第2期11-24,共14页
The advancement of Artificial Intelligence(AI)has garnered significant attention within the academic research community,reflecting the prevailing zeitgeist.However,there is a paucity of literature that has delved into... The advancement of Artificial Intelligence(AI)has garnered significant attention within the academic research community,reflecting the prevailing zeitgeist.However,there is a paucity of literature that has delved into its connection with the higher order thinking skills of human beings.The purpose of this systematic review is to investigate the relationship between AI utilization and the development of critical thinking(CT)in the field of education.A systematic literature search was performed in two databases,Web of Science and Scopus,with a focus on empirical studies related to AI and CT.The review process followed the PRISMA framework and adopted a bottom-up approach,Ultimately,the integrated review synthesized 21 eligible studies from a total of 649 articles.The systematic review identified three relationships between AI technologies and CT.The results suggest that AI technologies can help to enhance learners’CT skills(n=13).However,excessive or inappropriate utilization of AI may hinder CT development(n=7).Moreover,the cultivation of CT skills has been shown to positively influence the effectiveness of AI utilization(n=4).This article represents the first literature review to delve into the reciprocal relationship between AI implementation and CT development within the education field,striving to illuminate the ways in which learners can enhance their higher-order thinking skills through more effective utilization of AI technologies. 展开更多
关键词 artificial intelligence critical thinking systematic review higher-order thinking education
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Optimal Synchronization of Higher-Order Dynamical Networks 被引量:2
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作者 Guanrong CHEN 《Artificial Intelligence Science and Engineering》 2025年第1期31-36,共6页
This article briefly reviews the topic of complex network synchronization,with its graph-theoretic criterion,showing that the homogeneous and symmetrical network structures are essential for optimal synchronization.Fu... This article briefly reviews the topic of complex network synchronization,with its graph-theoretic criterion,showing that the homogeneous and symmetrical network structures are essential for optimal synchronization.Furthermore,it briefly reviews the notion of higher-order network topologies and shows their promising potential in application to evaluating the optimality of network synchronizability. 展开更多
关键词 complex network SYNCHRONIZATION optimal synchronizability SIMPLEX higher-order topology
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AI-Driven Research Ecosystem: Unifying Human-AI Collaboration Models and New Research Thinking Paradigms 被引量:1
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作者 Feng Xiong Xinguo Yu +1 位作者 Hon Wai Leong Anran Ma 《教育技术与创新》 2025年第1期39-53,共15页
The integration of artificial intelligence(AI)is fundamentally reshaping the scientific research,giving rise to a new era of discovery and innovation.This paper explores this transformative shift,introducing an innova... The integration of artificial intelligence(AI)is fundamentally reshaping the scientific research,giving rise to a new era of discovery and innovation.This paper explores this transformative shift,introducing an innovative concept of the“AI-Driven Research Ecosystem”,a dynamic and collaborative research environment.Within this ecosystem,we focus on the unification of human-AI collaboration models and the emerging new research thinking paradigms.We analyze the multifaceted roles of AI within the research lifecycle,spanning from a passive tool to an active assistant and autonomous participants,and categorize these interactions into distinct human-AI collaboration models.Furthermore,we examine how the pervasive involvement of AI necessitates an evolution in human research thinking,emphasizing the significant roles of critical,creative,and computational thinking.Through a review of existing literature and illustrative case studies,this paper provides a comprehensive overview of the AI-driven research ecosystem,highlighting its potential for transforming scientific research.Our findings advance the current understanding of AI’s multiple roles in research and underscore its capacity to revolutionize both knowledge discovery and collaborative innovation,paving the way for a more integrated and impactful research paradigm. 展开更多
关键词 AI research ecosystem human–AI collaboration research thinking research paradigm
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Cultivation of Students’Critical Thinking Ability in College English Audio-Visual and Oral Teaching 被引量:1
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作者 Hui Zhang 《Journal of Contemporary Educational Research》 2025年第6期36-41,共6页
With the increasingly prominent trend of globalization,English,as the common language of international communication,plays an increasingly important role in university education.As a key link in English teaching,the c... With the increasingly prominent trend of globalization,English,as the common language of international communication,plays an increasingly important role in university education.As a key link in English teaching,the college English audio-visual oral course not only imparts language knowledge and skills,but also shoulders the important task of cultivating students’critical thinking.As one of the essential core qualities of modern talents,critical thinking ability plays an irreplaceable role in students’in-depth understanding of English knowledge,improving intercultural communication ability and cultivating innovative thinking.This paper expounds the significance of cultivating students’critical thinking ability in college English audio-visual and oral teaching,and puts forward a series of innovative teaching strategies to cultivate students’critical thinking ability combined with practical teaching experience and cutting-edge education theory,in order to provide new ideas and practical guidance for the improvement of college English teaching quality and the development of students’comprehensive quality. 展开更多
关键词 Critical thinking ability College English Audio-visual and oral teaching
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A New Technique for Constructing Higher-order Iterative Methods to Solve Nonlinear Systems
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作者 XIAO Xiaoyong 《应用数学》 北大核心 2025年第3期762-774,共13页
In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introduc... In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introducing only one additional evaluation of the function in each step.Furthermore,some new efficient methods with a higher-order of convergence are obtained by using only a single matrix inversion in each iteration.Analyses of convergence properties and computational efficiency of these new methods are made and testified by several numerical problems.By comparison,the new schemes are more efficient than the corresponding existing ones,particularly for large problem sizes. 展开更多
关键词 Systems of nonlinear equation Order of convergence higher-order method Extended Newton iteration Computational efficiency
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Higher-order optimality conditions for multiobjective optimization through a new type of directional derivatives
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作者 HUANG Zheng-gang 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第3期543-557,共15页
This paper deals with extensions of higher-order optimality conditions for scalar optimization to multiobjective optimization.A type of directional derivatives for a multiobjective function is proposed,and with this n... This paper deals with extensions of higher-order optimality conditions for scalar optimization to multiobjective optimization.A type of directional derivatives for a multiobjective function is proposed,and with this notion characterizations of strict local minima of order k for a multiobjective optimization problem with a nonempty set constraint are established,generalizing the corresponding scalar case obtained by Studniarski[3].Also necessary not sufficient and sufficient not necessary optimality conditions for this minima are derived based on our directional derivatives,which are generalizations of some existing scalar results and equivalent to some existing multiobjective ones.Many examples are given to illustrate them there. 展开更多
关键词 strict local minima of order k multiobjective optimization higher-order optimality conditions higher-order directional derivatives
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Fostering Student Metaphorical Thinking in EFL Reading Classes Through the Method of Constructing a Text Associative-Semantic Field
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作者 Daria Zhgun 《Sino-US English Teaching》 2025年第3期67-81,共15页
The present study explores the importance of developing metaphorical thinking skills in students within the framework of English as a Foreign Language(EFL)reading courses at the tertiary educational level.Metaphorical... The present study explores the importance of developing metaphorical thinking skills in students within the framework of English as a Foreign Language(EFL)reading courses at the tertiary educational level.Metaphorical thinking is viewed as the ability to envisage the world figuratively,perceive associatively,and express oneself creatively.It is crucial to recognize metaphors in texts,interpret the complex images they evoke,and generate new metaphors.It is especially needful in the current era of clip thinking and fragmented information processing when students often approach content superficially rather than comprehensively,leading to decreased cognitive activity and a diminished capacity to understand literature.To foster metaphorical thinking,the paper suggests building a text associative-semantic field focusing on metaphors.Due to its hierarchical structure,which can be envisioned as a dense nucleus surrounded by a central region of synonyms and further enveloped by a periphery of more loosely associated linguistic units,the text associative-semantic field is seen as a potent solution for facilitating improved visualization and more holistic comprehension of information,allowing students for expanding their vocabulary and strengthening associative connections.Notably,the study highlights analyzing the metaphors of emotional states as they contribute significantly to a more profound interpretation of the text,understanding the writer’s unique style,deepening the students’engagement with the book,and expanding their emotional experiences. 展开更多
关键词 EFL reading FICTION clip thinking METAPHOR metaphorical thinking emotion FEAR text associative-semantic field
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Explosive information spreading in higher-order networks:Effect of social reinforcement
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作者 Yu Zhou Yingpeng Liu +4 位作者 Liang Yuan Youhao Zhuo Kesheng Xu Jiao Wu Muhua Zheng 《Chinese Physics B》 2025年第3期196-202,共7页
Information spreading has been investigated for many years,but the mechanism of why the information explosively catches on overnight is still under debate.This explosive spreading phenomenon was usually considered dri... Information spreading has been investigated for many years,but the mechanism of why the information explosively catches on overnight is still under debate.This explosive spreading phenomenon was usually considered driven separately by social reinforcement or higher-order interactions.However,due to the limitations of empirical data and theoretical analysis,how the higher-order network structure affects the explosive information spreading under the role of social reinforcement has not been fully explored.In this work,we propose an information-spreading model by considering the social reinforcement in real and synthetic higher-order networks,describable as hypergraphs.Depending on the average group size(hyperedge cardinality)and node membership(hyperdegree),we observe two different spreading behaviors:(i)The spreading progress is not sensitive to social reinforcement,resulting in the information localized in a small part of nodes;(ii)a strong social reinforcement will promote the large-scale spread of information and induce an explosive transition.Moreover,a large average group size and membership would be beneficial to the appearance of the explosive transition.Further,we display that the heterogeneity of the node membership and group size distributions benefit the information spreading.Finally,we extend the group-based approximate master equations to verify the simulation results.Our findings may help us to comprehend the rapidly information-spreading phenomenon in modern society. 展开更多
关键词 explosive information spreading social reinforcement higher-order interactions complex network
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Corneal higher-order aberrations following small incision lenticule extraction for high myopic astigmatism correction
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作者 Yin Liu Cheng Hu +3 位作者 Juan Yu Nian Xiang Bo Zeng Wen-Shan Jiang 《International Journal of Ophthalmology(English edition)》 2025年第7期1349-1356,共8页
AIM:To compare the visual outcomes and corneal higherorder aberrations(HOAs)of patients with high or low myopic astigmatism after small incision lenticule extraction(SMILE).METHODS:A total of 157 eyes of 157 patients ... AIM:To compare the visual outcomes and corneal higherorder aberrations(HOAs)of patients with high or low myopic astigmatism after small incision lenticule extraction(SMILE).METHODS:A total of 157 eyes of 157 patients who underwent SMILE were included in this retrospective,nonrandomized,comparative study.All the eyes which were with the rule astigmatism were divided into high astigmatism group(HAG;astigmatism≤-2.00 D,73 eyes)and low astigmatism group(LAG;astigmatism≥-1.00 D,84 eyes).Visual and refractive examinations were performed,HOAs of the anterior surface,posterior surface,and total cornea of the eyes were evaluated preoperatively and 6mo postoperatively.RESULTS:At the postoperative 6-month follow-up,uncorrected distance visual acuity of 20/20 or better was achieved in 97%and 100%eyes in HAG and LAG respectively and 74%and 100%eyes were within-0.50 D.Vector analysis revealed no significant differences in the correction index(P=0.066),angle of error(P=0.091)or flattening index(P=0.987)between two groups.The magnitude of error was-0.37±0.31 D in HAG and-0.04±0.19 D in LAG(P<0.001).Index of success(IOS)was 0.22±0.09 in the HAG and 0.50±0.46 in the LAG(P<0.001).HOAs of most anterior,posterior and total cornea significantly increased after SMILE,especially the spherical aberration and coma.For HAG,the SMILE procedure induced significantly higher anterior,posterior and total cornea horizontal coma and total corneal total HOAs compared with LAG(P<0.001)and these surgically induced HOAs predominantly originated from the anterior surface of the cornea.CONCLUSION:SMILE surgery induces more HOAs and a mild under-correction of astigmatism in eyes with high astigmatism.The increment in HOAs after SMILE is related to preoperative astigmatism. 展开更多
关键词 small incision lenticule extraction high astigmatism higher-order aberrations MYOPIA
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Development and verification of the higher-order mode neutron flux calculation code HARMONY2.0
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作者 Er-Pin Zhang Zi-Ning Ni +3 位作者 Nian-Biao Deng Jin-Sen Xie Yong Liu Tao Yu 《Nuclear Science and Techniques》 2025年第1期207-225,共19页
Higher-order modes of the neutron diffusion/transport equation can be used to study the temporal behavior of nuclear reactors and can be applied in modal analysis, transient analysis, and online monitoring of the reac... Higher-order modes of the neutron diffusion/transport equation can be used to study the temporal behavior of nuclear reactors and can be applied in modal analysis, transient analysis, and online monitoring of the reactor core. Both the deterministic method and the Monte Carlo(MC) method can be used to solve the higher-order modes. However, MC method, compared to the deterministic method, faces challenges in terms of computational efficiency and α mode calculation stability, whereas the deterministic method encounters issues arising from homogenization-related geometric and energy spectra adaptation.Based on the higher-order mode diffusion calculation code HARMONY, we developed a new higher-order mode calculation code, HARMONY2.0, which retains the functionality of computing λ and α higher-order modes from HARMONY1.0, but enhances the ability to treat complex geometries and arbitrary energy spectra using the MC-deterministic hybrid two-step strategy. In HARMONY2.0, the mesh homogenized multigroup constants were obtained using OpenMC in the first step,and higher-order modes were then calculated with the mesh homogenized core diffusion model using the implicitly restarted Arnoldi method(IRAM), which was also adopted in the HARMONY1.0 code. In addition, to improve the calculation efficiency, particularly in large higher-order modes, event-driven parallelization/domain decomposition methods are embedded in the HARMONY2.0 code to accelerate the inner iteration of λ∕α mode using OpenMP. Furthermore, the higher-order modes of complex geometric models, such as Hoogenboom and ATR reactors for λ mode and the MUSE-4 experiment facility for the prompt α mode, were computed using diffusion theory. 展开更多
关键词 Neutron diffusion equation higher-order modes Global homogenization Two-step method DOMAIN
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Well-Posedness and Asymptotic Behavior of a Higher-Order Kirchhoff Equation
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作者 ZHANG Liao LI Feng-jie 《Chinese Quarterly Journal of Mathematics》 2025年第4期417-440,共24页
This paper focuses on the investigation of a hyperbolic Kirchhoff equation with nonlinear damping and higher-order dissipation terms.Initially,the existence and uniqueness of local weak solutions are rigorously establ... This paper focuses on the investigation of a hyperbolic Kirchhoff equation with nonlinear damping and higher-order dissipation terms.Initially,the existence and uniqueness of local weak solutions are rigorously established.Next,within the framework of potential well theory,the classification of solution behaviors,including blow-up and global existence,is systematically analyzed according to the relationships among the exponents of nonlinear source terms.Finally,explicit bounds for the blow-up time and decay estimates for global solutions are presented. 展开更多
关键词 higher-order dissipation Kirchhoff equation BLOW-UP Blow-up time Decay estimate
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Riemann-Hilbert approach to the higher-order Kaup-Newell equation on the half line
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作者 Hui Yu Ning Zhang 《Chinese Physics B》 2025年第3期231-243,共13页
The higher-order Kaup-Newell equation is examined by applying the Fokas unified method on the half-line.We demonstrate that the solution can be expressed in relation to the resolution of the Riemann-Hilbert problem.Th... The higher-order Kaup-Newell equation is examined by applying the Fokas unified method on the half-line.We demonstrate that the solution can be expressed in relation to the resolution of the Riemann-Hilbert problem.The jump matrix for this problem is derived from the spectral matrix,which is calculated based on both the initial conditions and the boundary conditions.The jump matrix is explicitly dependent and expressed through the spectral functions,which are derived from the initial and boundary information,respectively.These spectral functions are interdependent and adhere to a so-called global relationship. 展开更多
关键词 higher-order Kaup-Newell equation Fokas unified method Riemann-Hilbert problem
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Exact boundary controllability for the periodic higher-order KdV type equations
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作者 JIN Yanpeng FU Ying 《纯粹数学与应用数学》 2025年第3期413-421,共9页
In this paper,the exact boundary controllability of the higher-order KdVtype equation on torus is studied.That is,given the initial and final states in the appropriate space,by adding the appropriate control function ... In this paper,the exact boundary controllability of the higher-order KdVtype equation on torus is studied.That is,given the initial and final states in the appropriate space,by adding the appropriate control function on the boundary,the solution of the system can transition from the initial state to the specified final value.Firstly,we establish the observability inequality for the higher-order KdV-type equation by Ingham inequality.Then,based on the observability inequality,Hilbert uniqueness method and a integral identity we obtain the exact boundary controllability of the higher-order KdV-type equation. 展开更多
关键词 higher-order KdV equation OBSERVABILITY exact boundary controllability
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Higher-order topology in twisted multilayer systems:A review
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作者 Chunbo Hua Dong-Hui Xu 《Chinese Physics B》 2025年第3期2-10,共9页
In recent years,there has been a surge of interest in higher-order topological phases(HOTPs)across various disciplines within the field of physics.These unique phases are characterized by their ability to harbor topol... In recent years,there has been a surge of interest in higher-order topological phases(HOTPs)across various disciplines within the field of physics.These unique phases are characterized by their ability to harbor topological protected boundary states at lower-dimensional boundaries,a distinguishing feature that sets them apart from conventional topological phases and is attributed to the higher-order bulk-boundary correspondence.Two-dimensional(2D)twisted systems offer an optimal platform for investigating HOTPs,owing to their strong controllability and experimental feasibility.Here,we provide a comprehensive overview of the latest research advancements on HOTPs in 2D twisted multilayer systems.We will mainly review the HOTPs in electronic,magnonic,acoustic,photonic and mechanical twisted systems,and finally provide a perspective of this topic. 展开更多
关键词 higher-order topology twisted multilayer systems van der Waals materials corner states
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Symmetry of traveling wave solutions for a Camassa–Holm type equation with higher-order nonlinearity
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作者 Wenguang Cheng Ji Lin 《Communications in Theoretical Physics》 2025年第7期14-18,共5页
We are concerned with a Camassa-Holm type equation with higher-order nonlinearity including some integrable peakon models such as the Camassa-Holm equation,the Degasperis-Procesi equation,and the Novikov equation.We s... We are concerned with a Camassa-Holm type equation with higher-order nonlinearity including some integrable peakon models such as the Camassa-Holm equation,the Degasperis-Procesi equation,and the Novikov equation.We show that all the horizontal symmetric waves for this equation must be traveling waves.This extends the previous results for the Camassa-Holm and Novikov equations. 展开更多
关键词 Camassa-Holm type equation with higher-order nonlinearity traveling waves weak solutions
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