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Molecular reconstruction model based on structure oriented lumping and group contribution methods 被引量:9
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作者 Jincai Chen Zhou Fang Tong Qiu 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第8期1677-1683,共7页
Molecular management is a promising technology to face challenges in the refining industry, such as more stringent requirements for product oil and heavier crude oil, and to maximize the value of every molecule in pet... Molecular management is a promising technology to face challenges in the refining industry, such as more stringent requirements for product oil and heavier crude oil, and to maximize the value of every molecule in petroleum fractions. To achieve molecular management in refining processes, a novel model that is based on structure oriented lumping(SOL) and group contribution(GC) methods was proposed in this study. SOL method was applied to describe a petroleum fraction with structural increments, and GC method aimed to estimate molecular properties. The latter was achieved by associating rules between SOL structural increments and GC structures. A three-step reconstruction algorithm was developed to build a representative set of molecules from partial analytical data. First, structural distribution parameters were optimized with several properties. Then, a molecular library was created by using the optimized parameters. In the final step, maximum information entropy(MIE) method was applied to obtain a molecular fraction. Two industrial samples were used to validate the method, and the simulation results of the feedstock properties agreed well with the experimental data. 展开更多
关键词 Molecular reconstruction Structure oriented lumping Group contribution Monte Carlo Maximum information entropy
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Application of Bayesian Approach in the Parameter Estimation of Continuous Lumping Kinetic Model of Hydrocracking Process 被引量:1
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作者 S. Sina Hosseini Boosari Neda Makouei Philip Stewart 《Advances in Chemical Engineering and Science》 2017年第3期257-269,共13页
Hydrocracking is a catalytic reaction process in the petroleum refineries for converting the higher boiling temperature residue of crude oil into a lighter fraction of hydrocarbons such as gasoline and diesel. In this... Hydrocracking is a catalytic reaction process in the petroleum refineries for converting the higher boiling temperature residue of crude oil into a lighter fraction of hydrocarbons such as gasoline and diesel. In this study, a modified continuous lumping kinetic approach is applied to model the hydro-cracking of vacuum gas oil. The model is modified to take into consideration the reactor temperature on the reaction yield distribution. The model is calibrated by maximizing the likelihood function between the modeled and measured data at four different reactor temperatures. Bayesian approach parameter estimation is also applied to obtain the confidence interval of model parameters by considering the uncertainty associated with the measured errors and the model structural errors. Then Monte Carlo simulation is applied to the posterior range of the model parameters to obtain the 95% confidence interval of the model outputs for each individual fraction of the hydrocracking products. A good agreement is observed between the output of the calibrated model and the measured data points. The Bayesian approach based on the Markov Chain Monte Carlo simulation is shown to be efficient to quantify the uncertainty associated with the parameter values of the continuous lumping model. 展开更多
关键词 HYDROCRACKING CONTINUOUS lumping KINETIC Model Bayesian Approach Parameter Estimation MARKOV Chain MONTE Carlo
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A Lumping Kinetic Model for Catalytic Reforming
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作者 Cheng Guoxiang, Tan Hanshen, Hong Enshan (Fushun Research Institute of Petroleum and Petrochemicals,Fushun 113001) Chen Zhi, Weng Huixin (East China University of Science and Technology,Shanghai 200237) 《石油学报(石油加工)》 EI CAS CSCD 北大核心 1997年第S1期154-158,共5页
ALumpingKineticModelforCatalyticReformingChengGuoxiang,TanHanshen,HongEnshan(FushunResearchInstituteofPetrol... ALumpingKineticModelforCatalyticReformingChengGuoxiang,TanHanshen,HongEnshan(FushunResearchInstituteofPetroleumandPetrochemic... 展开更多
关键词 KINETIC MODEL CATALYTIC REFORMING reaction network lumping MODEL REACTOR MODEL
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Manifold-based mass lumping addressing the inertia representation for rotational/torsional degrees of freedom in Kirchhoff plate vibration analysis
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作者 Hongwei GUO Yaowen GUO +2 位作者 Shan LIN Miao DONG Hong ZHENG 《Frontiers of Structural and Civil Engineering》 2025年第9期1512-1530,共19页
The vibration analysis of Kirchhoff plates requires robust mass lumping schemes to guarantee numerical stability and accuracy.However,existing methods fail to generate symmetric and positive definite mass matrices whe... The vibration analysis of Kirchhoff plates requires robust mass lumping schemes to guarantee numerical stability and accuracy.However,existing methods fail to generate symmetric and positive definite mass matrices when handling rotational degrees of freedom,leading to compromised performance in both time and frequency domains analyses.This study proposes a manifold-based mass lumping scheme that systematically resolves the inertia matrix formulas for rotational/torsional degrees of freedom.By reinterpreting the finite element mesh as a mathematical cover composed of overlapping patches,Hermitian interpolations for plate deflection are derived using partition of unity principles.The manifold-based mass matrix is constructed by integrating the virtual work of inertia forces over these patches,ensuring symmetry and positive definiteness.Numerical benchmarks demonstrate that the manifold-based mass lumping scheme performance can be comparable or better than the consistent mass scheme and other existing mass lumping schemes.This work establishes a unified theory for mass lumping in fourth order plate dynamics,proving that the widely used row-sum method is a special case of the manifold-based framework.The scheme resolves long-standing limitations in rotational/torsional inertia conservation and provides a foundation for extending rigorous mass lumping to 3D shell and nonlinear dynamic analyses. 展开更多
关键词 Kirchhoff plates manifold-based mass lumping symmetric positive definite matrices rotational/torsional inertia conservation partition of unity finite element vibration analysis
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(2+1)维Korteweg-de Vries-Sawada-Kotera-Ramani方程中lump波和其它非线波碰撞前后的轨迹方程
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作者 黄文杰 夏亚荣 +1 位作者 王璇 孙晓晴 《应用数学》 北大核心 2025年第1期263-275,共13页
本文首先基于Hirota双线性方法研究了(2+1)维Korteweg-de Vries-Sawada-Kotera-Ramani(KdVSKR)方程的多孤子解,接着利用长波极限法推导出KdVSKR方程的lump波与线波、呼吸波以及lump波的相互作用解.其次,根据lump波沿直线运动的特点,将Kd... 本文首先基于Hirota双线性方法研究了(2+1)维Korteweg-de Vries-Sawada-Kotera-Ramani(KdVSKR)方程的多孤子解,接着利用长波极限法推导出KdVSKR方程的lump波与线波、呼吸波以及lump波的相互作用解.其次,根据lump波沿直线运动的特点,将KdVSKR方程的精确解沿着某些平行直线,在无穷远处进行逼近,进而推导出lump波与线波、呼吸波及lump波撞前后的轨迹方程,并给出了波峰高度以及波的相移.更进一步地,将上述情形推广到lump波与任意多个线波、任意阶呼吸波及任意阶lump波碰撞的情形.最后验证了lump波与其它非线性波的碰撞是弹性碰撞,并绘制了碰撞过程的相关图像. 展开更多
关键词 HIROTA双线性方法 长波极限法 轨迹方程 Lump波
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Hybrid model of multimodal based on data enhancement and lumped reaction kinetics: Applying to industrial ebullated-bed residue hydrogenation unit
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作者 Jian Long Mengru Zhang +2 位作者 Anlan Li Cheng Huang Dong Xue 《Chinese Journal of Chemical Engineering》 2025年第2期284-302,共19页
Industrial ebullated-bed is an important device for promoting the cleaning and upgrading of oil products. The lumped kinetic model is a powerful tool for predicting the product yield of the ebullated-bed residue hydro... Industrial ebullated-bed is an important device for promoting the cleaning and upgrading of oil products. The lumped kinetic model is a powerful tool for predicting the product yield of the ebullated-bed residue hydrogenation (EBRH) unit, However, during the long-term operation of the device, there are phenomena such as low frequency of material property analysis leading to limited operating data and diverse operating modes at the same time scale, which poses a huge challenge to building an accurate product yield prediction model. To address these challenges, a data augmentation-based eleven lumped reaction kinetics mechanism model was constructed. This model combines generative adversarial networks, outlier elimination, and L2 norm data filtering to expand the dataset and utilizes kernel principal component analysis-fuzzy C-means for operating condition partitioning. Based on the hydrogenation reaction mechanism, a single and sub operating condition eleven lumped reaction kinetics model of an ebullated-bed residue hydrogenation unit, comprising 55 reaction paths and 110 parameters, was constructed before and after data augmentation. Compared to the single model before data enhancement, the average absolute error of the sub-models under data enhancement division was reduced by 23%. Thus, these findings can help guide the operation and optimization of the production process. 展开更多
关键词 Mixed modeling Generative adversarial network Lumped kinetic model Multi-modal learning Ebullated-bed residue hydrogenation
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Compact Integrated Lumped-Element Bandpass Filter Loaded with Defected Ground Structure Based on Multilayer Liquid Crystal Polymer Substrate
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作者 LIU Weihong CHEN Yuan +1 位作者 HUANG Qian LIU Qingran 《Journal of Shanghai Jiaotong university(Science)》 2025年第2期227-232,共6页
Design of a miniaturized lumped-element bandpass filter in multilayer liquid crystal polymer technology is proposed.Fractional bandwidth of the bandpass filter is 20%,operating at a center frequency of 500 MHz.In orde... Design of a miniaturized lumped-element bandpass filter in multilayer liquid crystal polymer technology is proposed.Fractional bandwidth of the bandpass filter is 20%,operating at a center frequency of 500 MHz.In order to further reduce the size and improve the performance of the proposed filter,defected ground structure(DGS)has been implemented in the filter.Based on this structure,the volume of the inductor is reduced by 60%eficiently compared with the inductor without DGS,and the Q-factor is increased up to 257%compared with the traditional multilayer spiral inductor.The measured results indicate that the designed filter has a very sharp stopband,an insertion loss of 2.3dB,and a return loss of 18.6dB in the passband.The whole volume of the fabricated filter is 0.032入_(g)×0.05入_(g)×0.00075入_(g),where Ag is the guided wavelength of the center frequency.The proposed filter is easily integrated into radio-frequency/microwave circuitry at a low manufacturing cost,especially wireless communication. 展开更多
关键词 multilayer liquid crystal polymer defected ground structure bandpass filter MINIATURIZATION lumped element
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一个(2+1)维非线性偏微分方程的精确解
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作者 毛辉 欧阳宇恒 孙睿 《南宁师范大学学报(自然科学版)》 2025年第2期90-96,共7页
该文研究一个由KP方程与(2+1)维Ito方程组合成的非线性偏微分方程的精确解。先对未知函数做变量变换并取恰当的积分常数,得到该方程的Hirota双线性形式。然后用同宿测试法给出该方程的孤子解和呼吸子解,并展示它们的动力学性质。再用正... 该文研究一个由KP方程与(2+1)维Ito方程组合成的非线性偏微分方程的精确解。先对未知函数做变量变换并取恰当的积分常数,得到该方程的Hirota双线性形式。然后用同宿测试法给出该方程的孤子解和呼吸子解,并展示它们的动力学性质。再用正二次函数法构造该方程的4组lump解,并分析这些解的振幅和波速等。最后由扩展的正二次函数法得到该方程的条纹孤子解与lump解的相互作用解,并展示解的吞噬现象。 展开更多
关键词 非线性偏微分方程 HIROTA双线性方法 呼吸子解 lump解 孤子解
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A methodology to simulate interior and intermediate ballistics with dynamic mesh technique and lumped parameter code
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作者 G.Guermonprez T.Gaillard +2 位作者 J.Dupays J.Anthoine R.Demarthon 《Defence Technology(防务技术)》 2025年第7期447-464,共18页
The aim of this paper is to simulate and study the early moments of the reactive ballistics of a large caliber projectile fired from a gun,combining 0D and 2D axisymmetric Computational Fluid Dynamics(CFD)approaches.F... The aim of this paper is to simulate and study the early moments of the reactive ballistics of a large caliber projectile fired from a gun,combining 0D and 2D axisymmetric Computational Fluid Dynamics(CFD)approaches.First,the methodology is introduced with the development of an interior ballistics(IB)lumped parameter code(LPC),integrating an original image processing method for calculating the specific regression of propellant grains that compose the gun propellant.The ONERA CFD code CEDRE,equipped with a Dynamic Mesh Technique(DMT),is then used in conjunction with the developed LPC to build a dedicated methodology to calculate IB.First results obtained on the AGARD gun and 40 mm gun test cases are in a good agreement with the existing literature.CEDRE is also used to calculate inter-mediate ballistics(first milliseconds of free flight of the projectile)with a multispecies and reactive approach either starting from the gun muzzle plane or directly following IB.In the latter case,an inverse problem involving a Latin hypercube sampling method is used to find a gun propellant configuration that allows the projectile to reach a given exit velocity and base pressure when IB ends.The methodology developed in this work makes it possible to study the flame front of the intermediate flash and depressurization that occurs in a base bleed(BB)channel at the gun muzzle.Average pressure variations in the BB channel during depressurization are in good agreement with literature. 展开更多
关键词 Intermediate ballistics Interior ballistics(IB) Lumped parameter code(LPC) Form function Dynamic mesh
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Non-Lumped Microwave Topolectrical Resonator Based on the Su–Schriefer–Heeger Model
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作者 Chengxin Yu Xiao Zhang 《Chinese Physics Letters》 2025年第7期235-250,共16页
Topological states realized in metamaterials have provided a versatile platform for exploring topological physics and enabling novel applications,with topolectrical circuits emerging as a prominent example.However,pre... Topological states realized in metamaterials have provided a versatile platform for exploring topological physics and enabling novel applications,with topolectrical circuits emerging as a prominent example.However,previous research in this feld has primarily focused on lumped-element implementations,while non-lumped microwave circuits remain relatively underexplored.In this work,we design and investigate a one-dimensional non-lumped Su–Schriefer–Heeger topolectrical circuit composed of copper parallel-plate transmission lines and inductors,ofering compatibility with integrated microwave applications.Full-wave microwave simulations in the 0–10 GHz range show excellent agreement with theoretical predictions.The impedance spectrum of a fveunit-cell system displays periodic resonant passbands and stopbands corresponding to bulk states,while distinct high-Q(on the order of 10^(2))topological boundary resonances(TBRs)emerge within the stopbands,indicating the presence of localized edge states.Furthermore,the TBRs vanish when the system is reconfgured into the trivial phase,providing direct evidence of its topological nature.These response characteristics make the proposed resonator a promising candidate for future microwave devices and topological circuit applications. 展开更多
关键词 METAMATERIALS non lumped microwave circuits topological states SU Schriefer Heeger model exploring topological physics topolectrical circuit topolectrical circuits
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(2 + 1)维BLMP方程Lump波与孤波的相互作用解
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作者 肖星奇 《理论数学》 2025年第4期22-30,共9页
本文应用Hirota双线性方法探讨了(2 + 1)维Boiti-Leon-Manna-Pempinelli (BLMP)方程的解及其相互作用。该方法的一个特点是使用对数变换将方程转化为双线性形式,且我们在对数变换中引入了非零常数。本文分析了1-lump波分别与1-kink孤波... 本文应用Hirota双线性方法探讨了(2 + 1)维Boiti-Leon-Manna-Pempinelli (BLMP)方程的解及其相互作用。该方法的一个特点是使用对数变换将方程转化为双线性形式,且我们在对数变换中引入了非零常数。本文分析了1-lump波分别与1-kink孤波和2-kink孤波之间的相互作用,揭示了它们的弹性和共振碰撞行为。为了进一步说明这些解的特征,我们利用Mathematica软件提供了详细的三维图示结果。In this study, we investigate the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equations using the Hirota bilinear method. A feature of our approach is the use of a logarithmic transformation to convert the equation into bilinear form with the introduction of a nonzero constant in the transformation. We analyze the interaction dynamics of lump solutions with one and two kink solitons, revealing their elastic and resonant collision behaviors. To further illustrate the characteristics of these solutions, we provide detailed 3D plots using the Mathematica software. 展开更多
关键词 (2 + 1)维BLMP方程 Lump解 共振相互作用 Hirota双线性法 长波极限法
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Modeling of fixed bed reactor for coal tar hydrogenation via the kinetic lumping approach 被引量:3
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作者 Fei Dai Yalin Zhang +3 位作者 Endong Xia Zhanquan Zhang Zhihua Zhang Chunshan Li 《Carbon Resources Conversion》 2018年第3期279-283,共5页
Hydrogenation technology is an indispensable chemical upgrading process for converting the heavy feedstock into favorable lighter products.In this work,a new kinetic model containing four hydrocarbon lumps(feedstock,d... Hydrogenation technology is an indispensable chemical upgrading process for converting the heavy feedstock into favorable lighter products.In this work,a new kinetic model containing four hydrocarbon lumps(feedstock,diesel,gasoline,cracking gas)was developed to describe the coal tar hydrogenation process,the Levenberg–Marquardt’s optimization algorithm was used to determine the kinetic parameters by minimizing the sum of square errors between experimental and calculated data,the predictions from model validation showed a good agreement with experimental values.Subsequently,an adiabatic reactor model based on proposed lumped kinetic model was constructed to further investigate the performance of hydrogenation fixed-bed units,the mass balance and energy balance within the phases in the reactor were taken into accounts in the form of ordinary differential equation.An application of the reactor model was performed for simulating the actual bench-scale plant of coal tar hydrogenation,the simulated results on the products yields and temperatures distribution along with the reactor are shown to be good consistent with the experimental data. 展开更多
关键词 Coal tar Reactor model Lumped kinetics HYDROGENATION
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新(3+1)维KP方程的退化解与相互作用解
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作者 郭艳凤 崔静易 +1 位作者 肖海军 张景军 《数学物理学报(A辑)》 CSCD 北大核心 2024年第6期1520-1536,共17页
该文主要研究了由Wazwaz于2022年首次提出的新(3+1)维KP方程的非线性波解.基于Hirota双线性形式,利用模共振技术由N-孤子解得到P-呼吸解.然后,利用参数极限法,根据参数的特殊关系,对同宿呼吸解和N-孤子解进行退化得到了Lump解.最后,从N... 该文主要研究了由Wazwaz于2022年首次提出的新(3+1)维KP方程的非线性波解.基于Hirota双线性形式,利用模共振技术由N-孤子解得到P-呼吸解.然后,利用参数极限法,根据参数的特殊关系,对同宿呼吸解和N-孤子解进行退化得到了Lump解.最后,从N-孤子解的部分退化出发,研究了由呼吸解、孤子解和Lump解组成的相互作用解.该文通过可视化图形展示了这些解的动力学特性. 展开更多
关键词 (3+1) KP 方程 P -呼吸解 退化行为 Lump 相互作用解
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具有新四阶项的非线性微分方程的精确解
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作者 张丽琴 郑艳红 林冠军 《哈尔滨商业大学学报(自然科学版)》 CAS 2024年第5期592-597,共6页
研究了一类具有新的四阶项D_(x)^(2)D_(T)^(2)非线性偏微分方程的问题,其中三个新的四阶导数项和一些二阶导数项增加了非线性方程求解的困难.构造非线性偏微分方程的Hirota双线性形式,利用Hirota双线性方法得到方程的Lump解.通过绘图分... 研究了一类具有新的四阶项D_(x)^(2)D_(T)^(2)非线性偏微分方程的问题,其中三个新的四阶导数项和一些二阶导数项增加了非线性方程求解的困难.构造非线性偏微分方程的Hirota双线性形式,利用Hirota双线性方法得到方程的Lump解.通过绘图分析了它们的动力学行为. 展开更多
关键词 Hirota双线性形式 可积方程 Lump解 符号计算
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广义地球物理KdV方程的Lump波与扭结波相互作用解初值扰动行为
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作者 邱燕红 鲜大权 田宝单 《大学数学》 2024年第5期16-20,共5页
针对一类广义地球物理KdV方程进行研究,利用Painleve分析思想构造了一个包含初始常数解的双线性变换,并应用拟设函数法得到两类与初值有关的Lump波与周期波、扭结波相互作用的显式精确解.此外,根据包含初始常数解u 0扰动的解的结构得到... 针对一类广义地球物理KdV方程进行研究,利用Painleve分析思想构造了一个包含初始常数解的双线性变换,并应用拟设函数法得到两类与初值有关的Lump波与周期波、扭结波相互作用的显式精确解.此外,根据包含初始常数解u 0扰动的解的结构得到u 0的两个分叉点.最后,在一定参数条件下,利用数学软件对所得Lump波与周期波相互作用模式、Lump波与扭结波相互作用模式进行了绘图展示.结果表明:方程初始常数解对广义地球物理KdV方程的发展性态具有明显的扰动特征. 展开更多
关键词 广义地球物理KdV方程 双线性法 初值扰动 Lump波 扭结波
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(3+1)维Hirota双线性方程的lump解
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作者 秦春艳 晋守博 +1 位作者 任敏 李壮壮 《兰州文理学院学报(自然科学版)》 2024年第5期1-7,共7页
非线性发展方程是现代数学的一重要分支,其精确解的计算一直都是非线性科学领域的主流与焦点问题.lump解是精确解析解的一种特殊形式,以(3+1)维Hirota双线性方程为例对此展开研究.首先,利用Hirota双线性方法研究其经典lump解.其次,以双... 非线性发展方程是现代数学的一重要分支,其精确解的计算一直都是非线性科学领域的主流与焦点问题.lump解是精确解析解的一种特殊形式,以(3+1)维Hirota双线性方程为例对此展开研究.首先,利用Hirota双线性方法研究其经典lump解.其次,以双线性神经网络方法为基础,借助符号计算方法,得到方程的高阶lump解,主要是4阶lump解的计算.最后,通过对参数赋予一些特殊值,借助Maple软件,绘制出相关的三维图、密度图、相图以及传播图等,得到一些新的现象,同时展示了所求出的解的动力学行为. 展开更多
关键词 (3+1)维Hirota双线性方程 符号计算法 双线性神经网络方法 lump解
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(2+1)维potential Kadomtsev-Petviashvili方程的有理解
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作者 董蕙 庞晶 尹天乐 《内蒙古工业大学学报(自然科学版)》 2024年第6期481-488,共8页
基于Hirota双线性方法,求得一类potential Kadomtsev-Petviashvili(pKP)方程的有理解,并对该解作出了证明,进而求得方程的lump解、高阶lump解和多lump解,同时通过图像展现了两种lump波的不同碰撞方式,分析了多个lump波碰撞的动力学性质。
关键词 lump解 Hirota双线性 potential Kadomtsev-Petviashvili方程
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Localized wave solutions and interactions of the (2+1)-dimensional Hirota-Satsuma-Ito equation
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作者 巩乾坤 王惠 王云虎 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期409-416,共8页
This paper studies the(2+1)-dimensional Hirota-Satsuma-Ito equation.Based on an associated Hirota bilinear form,lump-type solution,two types of interaction solutions,and breather wave solution of the(2+1)-dimensional ... This paper studies the(2+1)-dimensional Hirota-Satsuma-Ito equation.Based on an associated Hirota bilinear form,lump-type solution,two types of interaction solutions,and breather wave solution of the(2+1)-dimensional Hirota-Satsuma-Ito equation are obtained,which are all related to the seed solution of the equation.It is interesting that the rogue wave is aroused by the interaction between one-lump soliton and a pair of resonance stripe solitons,and the fusion and fission phenomena are also found in the interaction between lump solitons and one-stripe soliton.Furthermore,the breather wave solution is also obtained by reducing the two-soliton solutions.The trajectory and period of the one-order breather wave are analyzed.The corresponding dynamical characteristics are demonstrated by the graphs. 展开更多
关键词 lump solution rogue wave solution breather wave solution (2+1)-dimensional Hirota-Satsuma-Ito equation
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New lump solutions and several interaction solutions and their dynamics of a generalized(3+1)-dimensional nonlinear differential equation
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作者 Yexuan Feng Zhonglong Zhao 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第2期1-13,共13页
In this paper,we mainly focus on proving the existence of lump solutions to a generalized(3+1)-dimensional nonlinear differential equation.Hirota’s bilinear method and a quadratic function method are employed to deri... In this paper,we mainly focus on proving the existence of lump solutions to a generalized(3+1)-dimensional nonlinear differential equation.Hirota’s bilinear method and a quadratic function method are employed to derive the lump solutions localized in the whole plane for a(3+1)-dimensional nonlinear differential equation.Three examples of such a nonlinear equation are presented to investigate the exact expressions of the lump solutions.Moreover,the 3d plots and corresponding density plots of the solutions are given to show the space structures of the lump waves.In addition,the breath-wave solutions and several interaction solutions of the(3+1)-dimensional nonlinear differential equation are obtained and their dynamics are analyzed. 展开更多
关键词 lump solutions generalized(3+1)-dimensional nonlinear differential equation Hirota's bilinear method quadratic function method interaction solutions
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Dynamics of Nonlinear Waves in(2+1)-Dimensional Extended Boiti-Leon-Manna-Pempinelli Equation
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作者 SUN Junxiu WANG Yunhu 《应用数学》 北大核心 2024年第4期1103-1113,共11页
Based on the Hirota bilinear method,this study derived N-soliton solutions,breather solutions,lump solutions and interaction solutions for the(2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli equation.The dynamic... Based on the Hirota bilinear method,this study derived N-soliton solutions,breather solutions,lump solutions and interaction solutions for the(2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli equation.The dynamical characteristics of these solutions were displayed through graphical,particularly revealing fusion and ssion phenomena in the interaction of lump and the one-stripe soliton. 展开更多
关键词 Hirota bilinear method N-soliton solutions Breather solutions Lump solutions Interaction solutions (2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli equation
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