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

被引：9

作者：

Geng Xian-Guo ^{[1
]}

Wang Hui ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2014年 / 31卷 / 07期

基金：

中国国家自然科学基金;

关键词：

VRIES EQUATION; HEAT PULSES; KORTEWEG; SOLIDS;

D O I：

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

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A hierarchy of new nonlinear evolution equations associated with a 3 x 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.

引用

页数：4

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