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
收藏
页码：3036 / 3043
页数：8
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