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检索条件"主题词=peakon"
13 条 记 录,以下是1-10 订阅
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WELL-POSEDNESS AND peakon SOLUTIONS FOR A HIGHER ORDER CAMASSA-HOLM TYPE EQUATION
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数学杂志 2025年 第1期45卷 57-71页
作者: CHEN shuang School of Mathematics and Statistics Ningbo UniversityNingbo 315211China
In this paper,we delve into a generalized higher order Camassa-Holm type equation,(or,an ghmCH equation for short).We establish local well-posedness for this equation under the condition that the initial data uo belon... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Integrable peakon systems with weak kink and kink-peakon interactional solutions
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Frontiers of Mathematics in China 2013年 第5期8卷 1185-1196页
作者: Zhijun QIAO Baoqiang XIA Department of Mathematics University of Texas-Pan American Edinburg TX 78541 USA School of Mathematical Sciences Jiangsu Normal University Xuzhou 221116 China
We report two integrable peakon systems that have weak kink and kink-peakon interactional solutions. Both peakon systems are guaranteed integrable through providing their Lax pairs. The peakon and multi-peakon solutio... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论
Compacton, peakon, and Foldon Structures in the (2+1)-DimensionalNizhnik-Novikov-Veselov Equation
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Communications in Theoretical Physics 2004年 第1期41卷 7-14页
作者: ZHANGJie-Fang MENGJian-Ping WUFeng-Min SIJian-Qing InstituteofNonlinearPhysics ZhejiangNormalUniversityJinhua321004ChinaDepartmentofMathematicalScienceLoughboroughUniversityLoughboroughLeicestershireLEll3TUUKInstituteofAppliedMathematicsandMechanics InstituteofNonlinearPhysics ZhejiangNormalUniversityJinhua321004China DepartmentofPhysics ZhejiangUniversityofTechnologyHangzhou310014China
By the use of the extended homogenous balance method,the B(?)cklund transformation for a (2+1)- dimensional integrable model,the(2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation,is obtained,and then the NNV equ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
GeometricNumerical Integration for peakon b-Family Equations
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Communications in Computational Physics 2016年 第1期19卷 24-52页
作者: Wenjun Cai Yajuan Sun Yushun Wang Key Laboratory of Computational Geodynamics University of Chinese Academy of SciencesBeijing 100049China LSEC Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China Jiangsu Provincial Key Laboratory for NSLSCS School of Mathematical SciencesNanjing Normal University Nanjing 210023China
In this paper,we study the Camassa-Holm equation and the Degasperis-Procesi *** two equations are in the family of integrable peakon equations,and both have very rich geometric *** on these geometric structures,we con... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论
Interaction between compacton and anticompacton,peakon and antipeakon in (2 + 1)-dimensional spaces
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Chinese Physics B 2003年 第10期12卷 1166-1171页
作者: 韩平 张解放 孟剑平 DepartmentofPhysics ZhejiangOceanUniversityZhoushan316004China ShanghaiInstituteofAppliedMathematicsandMechanics ShanghaiUniversityShanghai200072China InstituteofNonlinearPhysics ZhejiangNormalUniversityJinhua321004China
Starting from the variable separation solution obtained by using the extended homogenous balance method, a class of novel localized coherent structures such as the multi-peakon-antipeakons solution and the multi-comp... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论
四次非线性Camassa-Holm方程peakon和周期peakon的轨道稳定性
四次非线性Camassa-Holm方程peakon和周期peakon的轨道稳定性
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作者: 邓同杰 桂林电子科技大学
学位级别:硕士
本文主要证明了四次非线性Camassa-Holm方程的peakon和周期peakon的轨道稳定性.首先,我们验证所获得的peakon和周期peakon解是方程的弱解.然后根据方程的守恒量并构造合适的辅助函数,将轨道稳定性的证明过程转化为守恒量和辅助函数的相... 详细信息
来源: 同方学位论文库 同方学位论文库 评论
一个mCH方程的椭圆周期peakon的轨道稳定性
一个mCH方程的椭圆周期peakon的轨道稳定性
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作者: 陆鑫慧 桂林电子科技大学
学位级别:硕士
本文利用平面动力系统分支理论研究了修正的Camassa-Holm(mCH)方程行波解的具体参数表达式以及椭圆周期peakon解的轨道稳定性.首先,我们将mCH方程转化为一个平面系统,然后得到了该系统的首次积分和代数曲线.利用首次积分和代数曲线,我... 详细信息
来源: 同方学位论文库 同方学位论文库 评论
Interactions Among peakons, Dromions, and Compactons for a (2+1)-Dimensional Soliton System
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Communications in Theoretical Physics 2004年 第4期41卷 513-520页
作者: ZHENGChun-Long DepartmentofPhysics ZhejiangLishuiNormalCollegeLishui323000China
Starting from the known variable separation excitations of a(2 + 1)-dimensional generalized Ablowitz-Kaup-Newell-Segur system,rich coherent structures can be *** interactions among different types of solitary waves li... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Orbital Stability of peakons for a Generalized Camassa-Holm Equation
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Journal of Applied Mathematics and Physics 2019年 第10期7卷 2200-2211页
作者: Xinhui Lu Aiyong Chen Tongjie Deng Department of Mathematics and Computing Science Guilin University of Electronic Technology Guilin China Department of Mathematics Hunan First Normal University Changsha China
We investigate the orbital stability of the peakons for a generalized Camassa-Holm equation (gCH). Using variable transformation, a planar dynamical system is obtained from the gCH equation. It is shown that the plana... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论
On Camassa-Holm Equation with Self-Consistent Sources and Its Solutions
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Communications in Theoretical Physics 2010年 第3期53卷 403-412页
作者: 黄晔辉 姚玉芹 曾云波 Department of Mathematical Science Tsinghua University Department of Applied Mathematics China Agricultural University
Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with selfconsistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CH... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论