位置：成果数据库 > 期刊 > 期刊详情页
Casoratian solutions to a non-isospectral differential-difference Kadomtsev-Petviashvilli equation
  • ISSN号：0253-6102
  • 期刊名称：COMMUNICATIONS IN THEORETICAL PHYSICS
  • 时间：0
  • 页码：557-560
  • 语言：中文
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]上海大学数学系,上海200444, [2]江苏工学院信息科技学院,常州213016
  • 相关基金：国家自然科学基金（No.10371070,10671121）和上海市高校优秀青年教师后备人选基金资助项目.致谢作者特别感谢张大军副教授、孙业鹏博士和毕金钵博士有益的讨论与帮助.
  • 相关项目：离散系统的可积特征、新孤子解
作者： Zhang Da-Jun|Chen Deng-Yuan|Ji Jie|
关键词： 可积分解, 哈密顿系统, Kaup-Newell方程, 非线性化, integrable decomposition, Hamiltonian system, Kaup-Newell equation, nonlinearization
中文摘要：

本文中，我们从—个高阶的方阵谱问题出发得到多向量Kaup-Newell方程的—个可积分解．通过迹恒等式的帮助，得到多向量Kaup-Newell方程族的双哈密顿结构，而且可以发现这个多向量Kaup-Newell方程的时间部分和空间部分的约束流是刘维尔意义下的两个可积哈密顿系统．

英文摘要：

Integrable decomposition of the multicomponent Kaup-Newell equation associated with a high-order matrix spectral problem is presented. With the aid of trace identity, its bi-Hamiltonian formulation is generated. The spatial flows and temporal constrained flows of this multicomponent Kaup-Newell equation are two integrable Hamiltonian systems in the sense of Liouville.

同期刊论文项目
离散系统的可积特征、新孤子解
期刊论文 56
同项目期刊论文
General formulae for two pseudo-differential operators
New double Wronskian solutions of the AKNS equation
Application of Exp-function method to discrete nonlinear Schrodinger lattice equation with symbolic
Searching for Painleve integrable conditions of nonlinear PDEs with constant parameters using symbol
Generalized Wronskian solutions to modified Korteweg-de Vries equation via its Backlund transformati
Multisoliton solutions to a nonisospectral (2+1)-dimensional breaking soliton equation
Soliton Solutions for a Negative Order AKNS Equation
Conservation laws of a discrete soliton system
The double Wronskian solutions to the Kadomtset Petviashvili equation
Resonances of line solitons in a non-isospectral Kadomtsev-Petviashvili equation
Solving the hierarchy of the nonisospectral KdV equation with self-consistent sources via the invers
Scattering of solitons of modified KdV equation with self-consistent sources
Integrable coupling of the Ablowitz-Ladik hierarchy and its Hamiltonian structure
Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with
The quadratic-form identity for constructing the Hamiltonian structures of the discrete integrable s
Conservation Laws and Symmetries of the Levi Equation
Algebraic method for constructing exact discrete soliton solutions of Toda and mKdV lattices
N-soliton solutions of general nonlinear Schrodinger equation with derivative
Hierarchies of multi-component mKP equations and theirs integrable couplings
A new 4 x 4 AKNS spectral problem and its associated integrable decomposition of the AKNS equation
The double Wronskian solutions of a non-isospectral Kadomtsev-Petviashvili equation
Soliton solutions, rational solutions, Matveev solutions, complexitons and mixed solutions for three
THE MULTI-SOLITON SOLUTIONS FOR THE NON-ISOSPECTRAL mKdV-SINE-GORDON EQUATION
N-Soliton Solutions of Non-Isospectral Derivative Nonlinear Schrodinger Equation
Multisoliton solutions to the lattice Boussinesq equation
A limit symmetry of the KdV equation and its applications
Symmetries and Lie algebra of the differential-difference Kadomstev-Petviashvili hierarchy
Generating Solutions to Discrete sine-Gordon Equation from Modified Backlund Transformation
Rational solutions of the general nonlinear Schrodinger equation with derivative
Soliton scattering with amplitude changes of a negative order AKNS equation
Soliton Solutions for a Negative Order AKNS Equation Hierarchy
Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization
Breathers and limit solutions of the nonlinear lumped self-dual network equation
CASORATIAN SOLUTIONS AND NEW SYMMETRIES OF THE DIFFERENTIAL-DIFFERENCE KADOMTSEV-PETVIASHVILI EQUATI
KdV Equation with Self-consistent Sources in Non-uniform Media
The limit solutions of the difference-difference KdV equation
The Kadomtsev-Petviashvili equation with self-consistent sources in nonuniform media
Soliton solutions for a negative order non-isospectral AKNS equation
A new extended discrete KP hierarchy and a generalized dressing method
Hierarchies, integrable decompositions and conservation laws of Geng equation
Exact solutions for KdV system equations hierarchy
Conservation laws and lax pair of the variable coefficient KdV equation
A note on Casoratian solutions to two-dimensional Toda lattice
The second mKdV equation and its hereditary symmetry and Hamiltonian structure
Novel Wronskian solutions to Boussinesq equation
Discrete integrable couplings of the Volterra lattice
Gauge transform between the first order nonisospectral AKNS hierarchy and AKNS hierarchy
Exact solutions of non-isospectral sine-Gordon equation with self-consistent sources
Generalized Wronskian solutions to differential-difference KP equation
The multi-component second modified Korteweg-de Vries equation and its two distinct integrable coupl
A New m × m Matrix Kaup-Newell Spectral Problem and Its Associated Integrable Decomposition
3阶张量的最佳秩-r逼近
Casoratian Solutions to Toda Lattice Via Its Backlund Transformation
期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊
  • 被引量:342