一个超可积族的非线性超可积耦合及其超哈密顿结构

陶司兴

doi:10.13371/j.cnki.chin.q.j.m.2018.02.009

数学季刊 >

2018 , Vol. 33 >Issue 2: 181 - 193

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.009

一个超可积族的非线性超可积耦合及其超哈密顿结构

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School of Mathematics and Statistics, Shangqiu Normal University

TAO Si-xing(1981-), male, native of Qingzhou, Shandong, an associate professor of Shangqiu Normal University, Ph.D., engages in soliton theory and integrable systems.

收稿日期: 2016-03-02

录用日期: 2016-03-02

网络出版日期: 2020-10-09

基金资助

Supported by the Natural Science Foundation of Henan Province(162300410075)； the Science and Technology Key Research Foundation of the Education Department of Henan Province(14A110010)； the Youth Backbone Teacher Foundationof Shangqiu Normal University(2013GGJS02)；

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Nonlinear Super Integrable Couplings of A Super Integrable Hierarchy and Its Super Hamiltonian Structures

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School of Mathematics and Statistics, Shangqiu Normal University

TAO Si-xing(1981-), male, native of Qingzhou, Shandong, an associate professor of Shangqiu Normal University, Ph.D., engages in soliton theory and integrable systems.

Received date: 2016-03-02

Accepted date: 2016-03-02

Online published: 2020-10-09

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摘要

Nonlinear super integrable couplings of a super integrable hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then its super Hamiltonian structures were established by using super trace identity, and the conserved functionals were proved to be in involution in pairs under the defined Poisson bracket. As its reduction,special cases of this nonlinear super integrable couplings were obtained.

关键词： Lie super algebra; Nonlinear super integrable couplings; A super integrable hierarchy; Super Hamiltonian structures

本文引用格式

陶司兴 . 一个超可积族的非线性超可积耦合及其超哈密顿结构[J]. 数学季刊, 2018 , 33(2) : 181 -193 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.009

Abstract

Key words： Lie super algebra; Nonlinear super integrable couplings; A super integrable hierarchy; Super Hamiltonian structures

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