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Integrable Couplings of the Boiti-Pempinelli-Tu Hierarchy and Their Hamiltonian Structures

Part of: Infinite-dimensional Hamiltonian systems Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  27 May 2016

Huiqun Zhang ,
Yubin Zhou  and
Junqin Xu
Huiqun Zhang*
Affiliation:
College of Mathematical Science, Qingdao University, Shandong 266071, China
Yubin Zhou*
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Gansu 712000, China
Junqin Xu*
Affiliation:
College of Mathematical Science, Qingdao University, Shandong 266071, China
*
*Corresponding author. Email:zhanghuiqun@qdu.edu.cn (H. Zhang), mybzhou@aliyun.com (Y. Zhou), xujunqin@qdu.edu.cn (J. Xu)
*Corresponding author. Email:zhanghuiqun@qdu.edu.cn (H. Zhang), mybzhou@aliyun.com (Y. Zhou), xujunqin@qdu.edu.cn (J. Xu)
*Corresponding author. Email:zhanghuiqun@qdu.edu.cn (H. Zhang), mybzhou@aliyun.com (Y. Zhou), xujunqin@qdu.edu.cn (J. Xu)
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Abstract

Integrable couplings of the Boiti-Pempinelli-Tu hierarchy are constructed by a class of non-semisimple block matrix loop algebras. Further, through using the variational identity theory, the Hamiltonian structures of those integrable couplings are obtained. The method can be applied to obtain other integrable hierarchies.

Keywords

Integrable couplingbi-integrable couplingHamiltonian structureblock matrix loop algebra

MSC classification

Secondary: 37K05: Hamiltonian structures, symmetries, variational principles, conservation laws 35Q53: KdV-like equations (Korteweg-de Vries)
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 4 , August 2016 , pp. 588 - 598
Copyright
Copyright © Global-Science Press 2016 

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