一个超可积族的非线性超可积耦合及其超哈密顿结构

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

数学季刊 ›› 2018, Vol. 33 ›› Issue (2): 181-193.doi: 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

School of Mathematics and Statistics, Shangqiu Normal University

收稿日期:2016-03-02 接受日期:2016-03-02 出版日期:2018-06-30 发布日期:2020-10-09
作者简介: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.
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)；

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

School of Mathematics and Statistics, Shangqiu Normal University

Received:2016-03-02 Accepted:2016-03-02 Online:2018-06-30 Published:2020-10-09
About author: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.
Supported by:
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)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O152.5

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.

TAO Si-xing. Nonlinear Super Integrable Couplings of A Super Integrable Hierarchy and Its Super Hamiltonian Structures[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(2): 181-193.

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一个超可积族的非线性超可积耦合及其超哈密顿结构

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

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