A novel hierarchy of differential-integral equations and their generalized bi-Hamiltonian structures

被引：2

作者：

Zhai Yun-Yun ^{[1
]}

Geng Xian-Guo ^{[1
]}

He Guo-Liang ^{[2
]}

机构：

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

[2] Zhengzhou Univ Light Ind, Sch Math & Informat Sci, Zhengzhou 450002, Peoples R China

来源：

CHINESE PHYSICS B | 2014年 / 23卷 / 06期

基金：

中国国家自然科学基金;

关键词：

spectral problem; nonlinear evolution equations; bi-Hamiltonian structure; conservation laws; EVOLUTION-EQUATIONS; PEAKON SOLUTIONS;

D O I：

10.1088/1674-1056/23/6/060201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the aid of the zero-curvature equation, a novel integrable hierarchy of nonlinear evolution equations associated with a 3 x 3 matrix spectral problem is proposed. By using the trace identity, the bi-Hamiltonian structures of the hierarchy are established with two skew-symmetric operators. Based on two linear spectral problems, we obtain the infinite many conservation laws of the first member in the hierarchy.

引用

页数：5

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