A Hierarchy of New Nonlinear Evolution Equations and Their Bi-Hamiltonian Structures

doi:10.1088/0256-307X/31/7/070202

Chin. Phys. Lett.

2014, Vol. 31

Issue (07): 070202 DOI: 10.1088/0256-307X/31/7/070202

GENERAL

A Hierarchy of New Nonlinear Evolution Equations and Their Bi-Hamiltonian Structures

GENG Xian-Guo, WANG Hui^**

School of Mathematics and statistics, Zhengzhou University, Zhengzhou 450001

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GENG Xian-Guo, WANG Hui 2014 Chin. Phys. Lett. 31 070202

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Abstract A hierarchy of new nonlinear evolution equations associated with a 3×3 matrix spectral problem with four potentials is proposed, in which two typical members are a new coupled Burgers equation and a new coupled KdV equation. The bi-Hamiltonian structures for the hierarchy of nonlinear evolution equations are established by using the trace identity.

Published: 30 June 2014

PACS:

02.30.Jr

(Partial differential equations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/31/7/070202 OR https://cpl.iphy.ac.cn/Y2014/V31/I07/070202

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