Nonlinear self-adjointness, conservation laws, exact solutions of a system of dispersive evolution equations

被引：27

作者：

Tracina, R. ^{[2
]}

Bruzon, M. S. ^{[1
]}

Gandarias, M. L. ^{[1
]}

Torrisi, M. ^{[2
]}

机构：

[1] Univ Cadiz, Dept Matemat, Puerto Real 11510, Cadiz, Spain

[2] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 09期

关键词：

Nonlinearly self-adjoint system; Conservation laws; Exact solutions; INVARIANT SUBSPACES;

D O I：

10.1016/j.cnsns.2013.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we classify a (1+1)-dimensional nonlinear system of dispersive evolution equations both from point of view of symmetries and nonlinear self-adjointness. Then, conservation laws are established from the property of nonlinear self-adjointness and from these we obtain exact solutions. (C) 2014 Elsevier B. V. All rights reserved.

引用

页码：3036 / 3043

页数：8

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