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In an Ocean or a River:Bilinear Auto-Backlund Transformations and Similarity Reductions on an Extended Time-Dependent(3+1)-Dimensional Shallow Water Wave Equation 被引量:1
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作者 GAO Xin-yi 《China Ocean Engineering》 2025年第1期160-165,共6页
With respect to oceanic fluid dynamics,certain models have appeared,e.g.,an extended time-dependent(3+1)-dimensional shallow water wave equation in an ocean or a river,which we investigate in this paper.Using symbolic... With respect to oceanic fluid dynamics,certain models have appeared,e.g.,an extended time-dependent(3+1)-dimensional shallow water wave equation in an ocean or a river,which we investigate in this paper.Using symbolic computation,we find out,on one hand,a set of bilinear auto-Backlund transformations,which could connect certain solutions of that equation with other solutions of that equation itself,and on the other hand,a set of similarity reductions,which could go from that equation to a known ordinary differential equation.The results in this paper depend on all the oceanic variable coefficients in that equation. 展开更多
关键词 OCEAN RIVER extended time-dependent(3+1)-dimensional shallow water wave equation bilinear auto-Bäcklund transformation similarity reduction symbolic computation
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A 3-Dimensional Cargo Loading Algorithm for the Conveyor-Type Loading System
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作者 Hyeonbin Jeong Young Tae Ryu +1 位作者 Byung Duk Song Sang-Duck Lee 《Computer Modeling in Engineering & Sciences》 2025年第3期2739-2769,共31页
This paper proposes a novel cargo loading algorithm applicable to automated conveyor-type loading systems.The algorithm offers improvements in computational efficiency and robustness by utilizing the concept of discre... This paper proposes a novel cargo loading algorithm applicable to automated conveyor-type loading systems.The algorithm offers improvements in computational efficiency and robustness by utilizing the concept of discrete derivatives and introducing logistics-related constraints.Optional consideration of the rotation of the cargoes was made to further enhance the optimality of the solutions,if possible to be physically implemented.Evaluation metrics were developed for accurate evaluation and enhancement of the algorithm’s ability to efficiently utilize the loading space and provide a high level of dynamic stability.Experimental results demonstrate the extensive robustness of the proposed algorithm to the diversity of cargoes present in Business-to-Consumer environments.This study contributes practical advancements in both cargo loading optimization and automation of the logistics industry,with potential applications in last-mile delivery services,warehousing,and supply chain management. 展开更多
关键词 3-dimensional loading automated loading system B2C logistics cargo loading algorithm conveyortype loading
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Abundant invariant solutions of(3+1)-dimensional combined pKP-BKP equation
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作者 Hengchun Hu Xu Xu 《Chinese Physics B》 2025年第3期291-299,共9页
Lie symmetry analysis is applied to a(3+1)-dimensional combined potential Kadomtsev-Petviashvili equation with B-type Kadomtsev-Petviashvili equation(pKP-BKP equation)and the corresponding similarity reduction equatio... Lie symmetry analysis is applied to a(3+1)-dimensional combined potential Kadomtsev-Petviashvili equation with B-type Kadomtsev-Petviashvili equation(pKP-BKP equation)and the corresponding similarity reduction equations are obtained with the different infinitesimal generators.Invariant solutions with arbitrary functions and constants for the(3+1)-dimensional pKP-BKP equation,including the lump solution,the periodic-lump solution,the two-kink solution,the breather solution and the lump-two-kink solution,have been studied analytically and graphically. 展开更多
关键词 (3+1)-dimensional combined pKP-BKP equation Lie symmetry invariant solutions
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Three-Dimensional Reconstruction and Comparison of Three Tuna Species’Fish Body Structures Based on CT Scanning
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作者 SONG Liming ZHU Mingshan +1 位作者 ZHOU Zihan LI Yuwei 《Journal of Ocean University of China》 2025年第5期1341-1350,共10页
To better understand the biological structure of bigeye tuna(Thunnus obesus),albacore tuna(Thunnus alalunga),and longtail tuna(Thunnus tonggol),computed tomography(CT)was used to scan their bodies,and the data are pro... To better understand the biological structure of bigeye tuna(Thunnus obesus),albacore tuna(Thunnus alalunga),and longtail tuna(Thunnus tonggol),computed tomography(CT)was used to scan their bodies,and the data are processed by Mimics software.The skeleton,swim bladder,and muscle of the three tuna species are reconstructed in three dimensions.The surface area and volume of the corresponding parts are measured.The results show that the surface areas of the skeleton of longtail tuna,bigeye tuna,albacore tuna accounted for 28.18%,37.34%,33.45%of their whole body surface areas respectively;the surface areas of swim bladder accounted for 0,2.06%,2.72% of their whole body surface area respectively;and the surface areas of muscle accounted for 71.82%,60.6%,63.83%of their whole body surface areas respectively.And the volumes of skeleton accounted for 28.18%,8.05%,3.84%,the volumes of swim bladder accounted for 0,3.44%,0.92%,and the volumes of muscle accounted for 94.84%,88.51%,95.24%of their body volumes respectively.The swim bladder of the longtail tuna has degenerated,while that of the bigeye tuna is conical,exhibiting the highest volume proportion among the three species.In contrast,the swim bladder of the albacore tuna is both flat and elongated,resembling an arc.Additionally,the surface area and the volume of the bigeye tuna’s swim bladder differ signifi-cantly from those of the albacore tuna.Regarding skeletal and muscular structures,the bigeye tuna has the highest skeletal volume proportion(8.05%),whereas the albacore tuna exhibits the highest muscle volume proportion(95.24%).These morphological differences are closely associated with their respective habitats.This study demonstrates the potential of CT technology in fish morphological research,providing a reliable,non-invasive method for analyzing internal structures,quantifying organ characteristics and improving the accuracy of acoustic stock assessment. 展开更多
关键词 bigeye tuna albacore tuna longtail tuna CT scan 3D reconstruction mimics software
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3-Dimensional Irradiance Imaging with a Single Camera System
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作者 陆永刚 王式民 +1 位作者 朱震 徐益谦 《Journal of Southeast University(English Edition)》 EI CAS 1998年第2期40-44,共5页
The focusing tomography is presented to reconstruct 3 dimensional irradiance distribution. A 3 dimensional luminous body could be considered as the combination of many 2 dimensional parallel luminous sections. Focu... The focusing tomography is presented to reconstruct 3 dimensional irradiance distribution. A 3 dimensional luminous body could be considered as the combination of many 2 dimensional parallel luminous sections. Focus on these discrete sections respectively by a single camera, a group of images would be captured to form governing equations of irradiance. After inversion procedure, the irradiance distribution of different sections could be decoded. In this experimentation two lightbulbs are used to simulate two luminous sections. Reasonable results demonstrate that this technique could be a useful method in irradiance reconstruction after further development. 展开更多
关键词 focusing tomography 3 dimensional irradiance reconstruction image
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A 3-DIMENSIONAL DATA MODEL FOR VISUALIZING CLOVERLEAF JUNCTION IN A CITY MODEL 被引量:6
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作者 Chen Jun Sun Min Zhou Qiming 《Geo-Spatial Information Science》 1999年第1期9-15,共7页
The research work has been seldom done about cloverleaf junction expression in a 3-dimensional city model (3DCM). The main reason is that the cloverleaf junction is often in a complex and enormous construction. Its ma... The research work has been seldom done about cloverleaf junction expression in a 3-dimensional city model (3DCM). The main reason is that the cloverleaf junction is often in a complex and enormous construction. Its main body is bestraddle in air,and has aerial intersections between its parts. This complex feature made cloverleaf junction quite different from buildings and terrain, therefore, it is difficult to express this kind of spatial objects in the same way as for buildings and terrain. In this paper,authors analyze spatial characteristics of cloverleaf junction, propose an all-constraint points TIN algorithm to partition cloverleaf junction road surface, and develop a method to visualize cloverleaf junction road surface using TIN. In order to manage cloverleaf junction data efficiently, the authors also analyzed the mechanism of 3DCM data management, extended BLOB type in relational database, and combined R-tree index to manage 3D spatial data. Based on this extension, an appropriate data 展开更多
关键词 3-dimensional CITY model (3DCM) GIS cloverleaf JUNCTION DATA STRUCTURE DATABASE
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Three-dimensional Reconstruction of Geological Solids Based on Section Topology Reasoning 被引量:13
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作者 HE Zhenwen WU Chonglong +1 位作者 TIAN Yiping MAO Xiaoping 《Geo-Spatial Information Science》 2008年第3期201-208,共8页
In order to solve the dynamic reconstruction and local updating problem of three-dimensional geological solids, topology reasoning is used for three-dimensional geological modeling. This can advance the level of the c... In order to solve the dynamic reconstruction and local updating problem of three-dimensional geological solids, topology reasoning is used for three-dimensional geological modeling. This can advance the level of the corresponding section automation in implementing the 3D geological solid dynamical reconstruction by the construction of and reasoning on topology on the 3D curved surface. This method has been successfully used in the Nanjing city geological modeling and the Zijin gold mine modeling. The results prove that this method adapts to coplanar section and noncoplanar section data, and improves the efficiency of 3D geological modeling. 展开更多
关键词 geological section topology reasoning 3D geological solid reconstruction
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All Single Traveling Wave Solutions to (3+1)-Dimensional Nizhnok-Novikov-Veselov Equation 被引量:12
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作者 LIU Cheng-Shi 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第6期991-992,共2页
Using elementary integral method, a complete classification of all possible exact traveling wave solutions to (3+1)-dimensional Nizhnok-Novikov-Veselov equation is given. Some solutions are new.
关键词 3+1)-dimensional Nizhnok-Novikov-Veselov equation traveling wave solution elementary integral method
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New Exact Solutions and Conservation Laws to (3+1)-Dimensional Potential-YTSF Equation 被引量:10
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作者 ZHANG Li-Hua LIU Xi-Qiang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第3期487-492,共6页
Using the modified find some new exact solutions to Lie point symmetry groups and also get conservation laws, of the CK's direct method, we build the relationship between new solutions and old ones and the (3+1)-d... Using the modified find some new exact solutions to Lie point symmetry groups and also get conservation laws, of the CK's direct method, we build the relationship between new solutions and old ones and the (3+1)-dimensional potentiaial-YTSF equation. Baaed on the invariant group theory, Lie symmetries of the (3+1)-dimensional potential-YTSF equation are obtained. We equation with the given Lie symmetry. 展开更多
关键词 new exact solutions Lie point symmetry groups conservation laws 3+1)-dimensional potential-YTSF equation
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Evaluation of Airway Obstruction at Soft Palate Level in Male Patients with Obstructive Sleep Apnea/Hypopnea Syndrome:Dynamic 3-Dimensional CT Imaging of Upper Airway 被引量:10
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作者 肖英 陈雄 +4 位作者 史河水 杨阳 何烈纯 董家琪 孔维佳 《Journal of Huazhong University of Science and Technology(Medical Sciences)》 SCIE CAS 2011年第3期413-418,共6页
This study examined the dynamic characteristics of upper airway collapse at soft palate level in patients with obstructive sleep apnea/hypopnea syndrome(OSAHS) by using dynamic 3-Dimensional(3-D) CT imaging.A tota... This study examined the dynamic characteristics of upper airway collapse at soft palate level in patients with obstructive sleep apnea/hypopnea syndrome(OSAHS) by using dynamic 3-Dimensional(3-D) CT imaging.A total of 41 male patients who presented with 2 of the following symptoms,i.e.,daytime sleepiness and fatigue,frequent snoring,and apnea with witness,were diagnosed as having OSAHS.They underwent full-night polysomnography and then dynamic 3-D CT imaging of the upper airway during quiet breathing and in Muller's maneuver.The soft palate length(SPL),the minimal cross-sectional area of the retropalatal region(mXSA-RP),and the vertical distance from the hard palate to the upper posterior part of the hyoid(hhL) were compared between the two breathing states.These parameters,together with hard palate length(HPL),were also compared between mild/moderate and severe OSAHS groups.Association of these parameters with the severity of OSAHS [as reflected by apnea hypopnea index(AHI) and the lowest saturation of blood oxygen(LSaO2)] was examined.The results showed that 31 patients had severe OSAHS,and 10 mild/moderate OSAHS.All the patients had airway obstruction at soft palate level.mXSA-RP was significantly decreased and SPL remarkably increased during Muller's maneuver as compared with the quiet breathing state.There were no significant differences in these airway parameters(except the position of the hyoid bone) between severe and mild/moderate OSAHS groups.And no significant correlation between these airway parameters and the severity of OSAHS was found.The position of hyoid was lower in the severe OSAHS group than in the mild/moderate OSAHS group.The patients in group with body mass index(BMI)≥26 had higher collapse ratio of mXSA-RP,greater neck circumference and smaller mXSA-RP in the Muller's maneuver than those in group with BMI26(P0.05 for all).It was concluded that dynamic 3-D CT imaging could dynamically show the upper airway changes at soft palate level in OSAHS patients.All the OSAHS patients had airway obstruction of various degrees at soft palate level.But no correlation was observed between the airway change at soft palate level and the severity of OSAHS.The patients in group with BMI≥26 were more likely to develop airway obstruction at soft palate level than those with BMI26. 展开更多
关键词 obstructive sleep apnea/hypopnea syndrome upper airway obstruction soft palate level dynamic computed tomography 3-dimensional imaging
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Grammian Determinant Solution and Pfaffianization for a (3+1)-Dimensional Soliton Equation 被引量:5
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作者 WU Jian-Ping GENG Xian-Guo2 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第11期791-794,共4页
Based on the Pfaffian derivative formulae,a Grammian determinant solution for a(3+1)-dimensionalsoliton equation is obtained.Moreover,the Pfaffianization procedure is applied for the equation to generate a newcoupled ... Based on the Pfaffian derivative formulae,a Grammian determinant solution for a(3+1)-dimensionalsoliton equation is obtained.Moreover,the Pfaffianization procedure is applied for the equation to generate a newcoupled system.At last,a Gram-type Pfaffian solution to the new coupled system is given. 展开更多
关键词 3+1)-dimensional soliton equation Grammian determinant solution PFAFFIANIZATION Gram-type Pfaffian solution
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Influence of heavy reduction during solidification process of billets based on 3D reconstruction of dendrites 被引量:1
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作者 Yi Nian You-cheng Zong +3 位作者 Chao-jie Zhang Xin-yu Tang Jia-le Li Li-qiang Zhang 《Journal of Iron and Steel Research International》 2025年第6期1596-1611,共16页
The impact of heavy reduction on dendritic morphology was explored by combining experimental research and numerical simulation in metallurgy,including a detailed three-dimensional(3D)analysis and reconstruction of den... The impact of heavy reduction on dendritic morphology was explored by combining experimental research and numerical simulation in metallurgy,including a detailed three-dimensional(3D)analysis and reconstruction of dendritic solidification structures.Combining scanning electron microscopy and energy-dispersive scanning analysis and ANSYS simulation,the high-precision image processing software Mimics Research was utilized to conduct the extraction of dendritic morphologies.Reverse engineering software NX Imageware was employed for the 3D reconstruction of two-dimensional dendritic morphologies,restoring the dendritic characteristics in three-dimensional space.The results demonstrate that in a two-dimensional plane,dendrites connect with each other to form irregularly shaped“ring-like”structures.These dendrites have a thickness greater than 0.1 mm along the Z-axis direction,leading to the envelopment of molten steel by dendrites in a 3D space of at least 0.1 mm.This results in obstructed flow,confirming the“bridging”of dendrites in three-dimensional space,resulting in a tendency for central segregation.Dense and dispersed tiny dendrites,under the influence of heat flow direction,interconnect and continuously grow,gradually forming primary and secondary dendrites in three-dimensional space.After the completion of dendritic solidification and growth,these microdendrites appear dense and dispersed on the two-dimensional plane,providing the nuclei for the formation of new dendrites.When reduction occurs at a solid fraction of 0.46,there is a noticeable decrease in dendritic spacing,resulting in improved central segregation. 展开更多
关键词 SOLIDIFICATION Dendritic growth 3D reconstruction Heavy reduction Central segregation
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A novel technique of three-dimensional reconstruction segmentation and analysis for sliced images of biological tissues 被引量:3
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作者 李晶 赵海燕 +4 位作者 阮兴云 徐永清 孟伟正 李鲲鹏 张景强 《Journal of Zhejiang University-Science B(Biomedicine & Biotechnology)》 SCIE CAS CSCD 2005年第12期1210-1212,共3页
A novel technique of three-dimensional (3D) reconstruction, segmentation, display and analysis of series slices of images including microscopic wide field optical sectioning by deconvolution method, cryo-electron micr... A novel technique of three-dimensional (3D) reconstruction, segmentation, display and analysis of series slices of images including microscopic wide field optical sectioning by deconvolution method, cryo-electron microscope slices by Fou-rier-Bessel synthesis and electron tomography (ET), and a series of computed tomography (CT) was developed to perform si-multaneous measurement on the structure and function of biomedical samples. The paper presents the 3D reconstruction seg-mentation display and analysis results of pollen spore, chaperonin, virus, head, cervical bone, tibia and carpus. At the same time, it also puts forward some potential applications of the new technique in the biomedical realm. 展开更多
关键词 Sliced images 3D reconstruction and analysis 3D segmentation CHAPERONIN VIRUS
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Nonuniform Three-dimensional Configuration Distributed SAR Signal Reconstruction Clutter Suppression 被引量:4
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作者 LIU Mei ZHANG Lei LI Chenlei 《Chinese Journal of Aeronautics》 SCIE EI CSCD 2012年第3期423-429,共7页
This paper deals with the problem of clutter suppression in spaceborne distributed synthetic aperture radar (D-SAR) with nonuniform three-dimensional (3D) configuration geometry. In order to make a breakthrough of... This paper deals with the problem of clutter suppression in spaceborne distributed synthetic aperture radar (D-SAR) with nonuniform three-dimensional (3D) configuration geometry. In order to make a breakthrough of the configuration limitation of the traditional space time adaptive processing (STAP) based on uniform array and improve the inhomogeneous clutter suppres- sion performance, this paper considers signal reconstrtiction technique using array interpolation to process the D-SAR signal. An array interpolation signal reconstruction method based on pitching-partition is derived then a signal reconstruction 3D-STAP clutter suppression method applied to nonuniform 3D configuration is proposed. In particular, the proposed method is compared with conventional methods and the performance analysis is carried out based on simulations. The improvement factor (IF) for clutter suppression is imported and reported as a benchmark on the clutter suppression effect. 展开更多
关键词 distributed synthetic aperture radar nonunitform 3D configuration clutter suppression signal reconstruction STAP
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NOVEL 6-SPS PARALLEL 3-DIMENSIONAL PLATFORM MANIPULATOR AND ITS FORCE/MOTION TRANSMISSION ANALYSIS 被引量:2
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作者 Jin Zhenlin School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaGao Feng Hebei University of Technology 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2002年第4期298-302,共5页
The unique design for a novel 6-SPS parallel 3-dimensional platformmanipulator with an orthogonal configuration is investigated. The layout feature of the parallelmanipulator is described. Its force/motion transmissio... The unique design for a novel 6-SPS parallel 3-dimensional platformmanipulator with an orthogonal configuration is investigated. The layout feature of the parallelmanipulator is described. Its force/motion transmission capability, evaluation criteria arepresented. At the orthogonal configuration, the criteria and the relationships between the criteriaand the link lengths are analyzed, which is important since it can provide designer a piece ofvaluable information about how to choose the linear actuators. From the analysis of the results itis shown that the force/motion transmission capabilities of the parallel manipulator arecharacterized by isotropy at the orthogonal configuration. The manipulator is particularly suitablefor certain applications in 6-DOF micromanipulators and 6-axis force/moment transducers. 展开更多
关键词 6-SPS parallel manipulator 3-dimensional platform manipulator ISOTROPY
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Spatiotemporal Similaritons in (3+l)-Dimensional Inhomogeneous Nonlinear Medium with Cubic-Quintic Nonlinearity 被引量:3
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作者 陈翼翔 陆璇辉 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第5期871-877,共7页
We obtain exact spatiotemporal similaritons to a (3+ l)-dimensional inhomogeneous nonlinear Schrodinger equation, which describes the propagation of optical pulses in a cubic-quintic nonlinearity medium with distri... We obtain exact spatiotemporal similaritons to a (3+ l)-dimensional inhomogeneous nonlinear Schrodinger equation, which describes the propagation of optical pulses in a cubic-quintic nonlinearity medium with distributed dispersion and gain. A one-to-one correspondence between such self-similar waves and solutions of the elliptic equation is found when a certain compatibility condition is satisfied. Based on exact solutions, we discuss evolutional behaviors of self-similar cnoidal waves and chirped similaritons in two kind of typicai soliton control systems. Moreover, the comparison between chirped similaritons and chirp-free solitons is given. 展开更多
关键词 spatiotemporal similaritons 3+l)-dimensional cubic-quintic nonlinear SchrSdinger equation dynamical behaviors
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Some Special Types of Solitary Wave Solutions for (3+1)-Dimensional Jimbo-MiwaEquation 被引量:3
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作者 BAICheng-Lin ZHAOHong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期875-877,共3页
Using the extended homogeneous balance method, we find some special types of single solitary wave solution and new types of the multisoliton solutions of the (3+1)-dimensional Jimbo-Miwa equation.
关键词 (3+1)-dimensional Jimbo-Miwa equation extended homogeneous balance method soliton solutions
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A Generalized Variable-Coefficient Algebraic Method Exactly Solving (3+1)-Dimensional Kadomtsev-Petviashvilli Equation 被引量:3
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作者 BAI Cheng-Lin BAI Cheng-Jie ZHAO Hong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5X期821-826,共6页
A generalized variable-coefficient algebraic method is appfied to construct several new families of exact solutions of physical interest for (3+1)-dimensional Kadomtsev-Petviashvilli (KP) equation. Among them, th... A generalized variable-coefficient algebraic method is appfied to construct several new families of exact solutions of physical interest for (3+1)-dimensional Kadomtsev-Petviashvilli (KP) equation. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with the existing tanh method, the extended tanh method, the Jacobi elliptic function method, and the algebraic method, the proposed method gives new and more general solutions. 展开更多
关键词 generalized variable-coefficient algebraic method 3+1)-dimensional KP equation exact explicit solutions
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The 3-dimensional morphology of dendrite during equiaxed solidification of an Al-5 wt.% Cu alloy 被引量:1
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作者 Xiaoping Ma Dianzhong Li 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2019年第3期239-247,共9页
In a sample quenched during equiaxed solidification of an Al-5 wt.% Cu alloy, the multi-scales 3-dimensional morphology of equiaxed dendrite was observed. The slim primary stem and secondary branches constitute the fr... In a sample quenched during equiaxed solidification of an Al-5 wt.% Cu alloy, the multi-scales 3-dimensional morphology of equiaxed dendrite was observed. The slim primary stem and secondary branches constitute the frame of dendrite, and rows of dense tertiary branches further divide the 3-dimensional space. In the divided space, the quartic branches grow further. The dendritic branches,which are perpendicular to each other, can change their growth directions and coalesce into a whole. In the tertiary branches and quartic branches, the formation of double branch structures is induced by competitive growth. The branch that wins in the competitive growth will produce a cabbage-like structure by wrapping the failed branches. In addition, the side branch can also wrap the original parent branch to produce cabbage-like structures. Depending on the historical growth direction, the dendritic arms can form vein-like and spicate structures, and the shapes of single dendritic arm may be the cylinder, plate and trapezoid platform. According to the compositions and etching morphology, the single dendritic arm in the final solidification structures should coalesce from a fine porous structure. The porous structures at different length-scales are principally induced by the preferential growth. Based on 3-dimensional morphology of equiaxed dendrite, a new research object for the investigation of microsegregation was suggested. 展开更多
关键词 Equiaxed DENDRITE 3-dimensional MORPHOLOGY COMPETITIVE growth COALESCENCE SEGREGATION
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A New Auto-Backlund Transformation and Two-Soliton Solution for (3+l)-Dimensional Jimbo-Miwa Equation 被引量:2
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作者 刘春平 周玲 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第2期213-216,共4页
Abstract By improving the extended homogeneous balance method, a general method is suggested to derive a new auto-Bgcklund transformation (BT) for (3-k l)-Dimensional Jimbo-Miwa (JM) equation. The auto-BT obtain... Abstract By improving the extended homogeneous balance method, a general method is suggested to derive a new auto-Bgcklund transformation (BT) for (3-k l)-Dimensional Jimbo-Miwa (JM) equation. The auto-BT obtained by using our method only involves one quadratic homogeneity equation written as a bilinear equation. Based on the auto-BT, two-soliton solution of the (3+1)-Dimensional JM equation is obtained. 展开更多
关键词 extended homogeneous balance method 3+1)-dimensional Jimbo-Miwa equation auto-Backlund transformation exact solution
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