Yang族一个新的非线性可积耦合及其哈密尔顿结构

魏含玉, 夏铁成

doi:10.13371/j.cnki.chin.q.j.m.2014.02.004

数学季刊 >

2014 , Vol. 29 >Issue 2: 180 - 188

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.004

Yang族一个新的非线性可积耦合及其哈密尔顿结构

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1. College of Mathematics and Statistics, Zhoukou Normal University2. Department of Mathematics, Shanghai University

WEI Han-yu(1982-), male, native of Zhoukou, Henan, a lecturer of Zhoukou Normal University, Ph.D., engages in solitons and integrable systems.

收稿日期: 2012-04-16

网络出版日期: 2020-12-01

基金资助

Supported by the Natural Science Foundation of China(11271008,61072147,11071159)； Supported by the First-class Discipline of Universities in Shanghai； Supported by the Shanghai University Leading Academic Discipline Project（A13-0101-12-004）；

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A New Nonlinear Integrable Couplings of Yang Equations Hierarchy and Its Hamiltonian Structure

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1. College of Mathematics and Statistics, Zhoukou Normal University2. Department of Mathematics, Shanghai University

WEI Han-yu(1982-), male, native of Zhoukou, Henan, a lecturer of Zhoukou Normal University, Ph.D., engages in solitons and integrable systems.

Received date: 2012-04-16

Online published: 2020-12-01

Supported by

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摘要

Based on a kind of non-semisimple Lie algebras, we establish a way to construct nonlinear continuous integrable couplings. Variational identities over the associated loop algebras are used to furnish Hamiltonian structures of the resulting continuous couplings.As an illustrative example of the scheme is given nonlinear continuous integrable couplings of the Yang hierarchy.

关键词： zero curvature equations; integrable couplings; variational identities

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魏含玉, 夏铁成 . Yang族一个新的非线性可积耦合及其哈密尔顿结构[J]. 数学季刊, 2014 , 29(2) : 180 -188 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.004

Abstract

Key words： zero curvature equations; integrable couplings; variational identities

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