Tri-integrable coupling of the Kaup-Newell soliton hierarchy and Liouville integrability-Reference-Cited by-同舟云学术

Tri-integrable coupling of the Kaup-Newell soliton hierarchy and Liouville integrability

Published:2016-08-10 Issue:21 Volume:30 Page:1650277
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Yu Shuimeng¹,Ye Yujian²,Zhang Jun³,Song Junquan³

Affiliation:

1. School of Sciences, Jiangnan University, Wuxi 214122, China

2. School of Management, Hangzhou Dianzi University, Hangzhou 310018, China

3. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China

Abstract

Based on a matrix Lie algebra consisting of [Formula: see text] block matrices, new tri-integrable coupling of the Kaup–Newell soliton hierarchy is constructed. Then, the bi-Hamiltonian structure which leads to Liouville integrability of this coupling is furnished by the variational identity.

Funder

The National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984916502778

Reference29 articles.

1. Integrable theory of the perturbation equations

2. A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling

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4. New Simple Method for Obtaining Integrable Hierarchies of Soliton Equations with Multicomponent Potential Functions

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