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

WEI Han-yu, XIA Tie-cheng

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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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Abstract

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.

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

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WEI Han-yu, XIA Tie-cheng . A New Nonlinear Integrable Couplings of Yang Equations Hierarchy and Its Hamiltonian Structure[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(2) : 180 -188 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.004

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