Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-Consistent Sources-Reference-Cited by-同舟云学术

Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-Consistent Sources

Published:2012 Issue: Volume:2012 Page:1-14
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Yang Hongwei¹,Dong Huanhe¹,Yin Baoshu²³,Liu Zhenyu⁴

Affiliation:

1. Information School, Shandong University of Science and Technology, Qingdao 266590, China

2. Institute of Oceanology, China Academy of Sciences, Qingdao 266071, China

3. Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China

4. Department of Mathematics, Zaozhuang College, Zaozhuang 277160, China

Abstract

Based on a well-known Lie algebra, the multicomponent Guo hierarchy with self-consistent sources is proposed. With the help of a set of non-semisimple Lie algebra, the nonlinear bi-integrable couplings of the multicomponent Guo hierarchy with self-consistent sources are obtained. It enriches the content of the integrable couplings of hierarchies with self-consistent sources. Finally, the Hamiltonian structures are worked out by employing the variational identity.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2012/272904.pdf

Reference27 articles.

1. Integrable theory of the perturbation equations

2. Integrable couplings of soliton equations by perturbations I: A general theory and application to the KDV hierarchy

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