( 商品编号B06XYM5J93 )孤子耦合方程族的代数结构、自相溶源和守恒律(英文版) / 于发军

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基本信息

书名:孤子耦合方程族的代数结构、自相溶源和守恒律(英文版)

定价:78.00元

作者:于发军

出版社:科学出版社

出版日期:2017年7月31日

ISBN:9787030515148

字数:

页码:181

版次:第1版

装帧:平装

开本:5

商品标识:B06XYM5J93

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内容提要

《孤子耦合方程族的代数结构、自相溶源和守恒律(英文版)》由科学出版社有限责任公司出版。

目录

Chapter 1 Introduction
1.1 Discovery and development of the soliton
1.2 Development situation of integrable system
1.3 Development of exact solution in nonlinear evolution equation
Chapter 2 Algebraic Structure of a Coupled Soliton Equatlon Hierarchy
2.1 Kac—Moody algebra
2.1.1 Single Lie algebra Al
2.1.2 Affine Lie algebra A3(1)
2.1.3 Symmetry, Loop algebra and Virasoro algebra
2.2 Algebraic structure of Lax represention of zero curvature equation
2.3 Algebraic structure of bi—integrable couplings of soliton hierarchy
2.3.1 The algebraic structure of bi—integrable coupling system
2.3.2 Bi—integrable coupling system of the MKdV equation hierarchy
2.4 A bi—integrabie couplings of discrete soliton hierarchy
2.4.1 Bi—integrable coup(ing system for discrete soliton hierarchy
2.4.2 Bi—integrable coupling system of the generalized Toda lattice equation hierarchy
Chapter 3 An Integrable Couplings of Soliton Hierarchy with Kronecker Product
3.1 An integrabie couplings of AKNS hierarchy with Kronecker product
3.1.1 An integrable couplings with Kroneeker product
3.1.2 Integrable couplings of the AKNS hierarchy with Kroneeker product
3.1.3 Hamiltonian structure of the integrable couplings with Kronecker product
3.2 A nonlinear integrable couplings of KdV soliton hierarchy
3.3 Integrable couplings for non—isospectral AKNS equation hierarchy
3.4 An integrable couplings for discrete soliton equation with Kroneeker product
3.4.1 An integrable couplings of discrete soliton equation
3.4.2 Integrable couplings of the Toda lattice hierarchy
3.4.3 Hamiltonian structures of the discrete integrable couplings with Kronecker product
3.5 A Volterra lattice equation hierarchy and its integrable couplings
3.5.1 A new discrete integrable couplings with Kronecker product
3.5,2 Integrable coupling system of the nonlinear equation hierarchy
3.6 On the relation a lattice hierarchy and the continuous soliton hierarchy
3.6.1 Integrahle equation hierarchy of continuous and multicomponent AKNS hierarchy
3.6.2 On the relation of a new multicomponent lattice hierarchy and the multicomponent AKNS hierarchy
Chapter 4 An Integrable Coupled Hierarchy with Self—consistent Sources
4.1 An integrable couplings of TD hierarchy with self—consistent sources.
4.1.1 A super—integrable system of so/iron equation hierarchy with selfconsistent sources
4.1.2 A super—integrable TD hierarchy with self—consistent sources and its Hamiltonian functions
4.1.3 Bi—nonlineartion of the integrable couplings of the TD hierarchy
4.2 Integrable couplings of generalized WKI hierarchy with selfconsistent, sonrees
4.2.1 G—WKI equations hierarchy with self—consistent sources associated with si(2)
4.2.2 Integrable couplings of the G—WKI equation hierarchy with self—consistent sources associated with sl(4)
4.3 An integrable couplings of Yang soliton hierarchy with self—consistent sources
4.3.1 An integrable couplings of soliton equation hierarchy with self—consistent sources associated with sl(4)
4.3.2 Yang equation hierarchy with self—consistent sources associated with sl(2)
4.4 A new 3×3 discrete soliton hierarchy with self—consistent sources
4.4.1 A discrete soliton hierarchy with self—consistent sources for 3×3 Lax pairs
4.4.2 A new 3×3 lattice soliton hierarchy with self—consistent sources
Chapter 5 Conservation Laws of a Nonlinear Integrable Couplings
5.1 Conservation laws of a nonlinear integrable couplings of AKNS soliton hierarchy
5.1.1 A nonlinear integrable couplings and its conservation laws
5.1.2 Conservation laws for the nonlinear integrable couplings of AKNS hierarchy
5.2 Conservation laws and self—consistent sources for a super classical Boussinesq hierarchy
5.2.1 A super Inatrix Lie algebra and a super soliton hierarchy with selfconsistent sources
5.2.2 The super classical Boussinesq hierarchy with selfconsistent sources and conservation laws
5.3 A nonlinear integrable couplings of C—KdV soliton hierarchy and its infinite conservation laws
5.3.1 A nonlinear integrable couplings of tile C—KdV hierarchy
5.3.2 Conservation laws for the nonliaear iategrable couplings of C—KdV hierarchy
5.4 Infinite conservation laws for a nonlinear integrable couplings of Toda hierarchy
5.4.1 Nonlinear integrable couplings of the generalized Toda lattice hierarchy and its conservation laws
5.4.2 Infinite conservation laws for the nonlinear integrable couplings of Toda lattice hierarchy
Bibliography

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