Conservation laws and exact solutions of the Whitham-type equations

被引：5

作者：

Shirvani-Sh, Vahid ^{[1
]}

Nadjafikhah, Mehdi ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Eslamabad E Gharb Branch, Eslamabad E Gharb, Iran

[2] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 07期

关键词：

Conservation laws; Lie point symmetry; Exact solution; Whitham-type equations; COMPUTATION;

D O I：

10.1016/j.cnsns.2013.12.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study conservation laws for some partial differential equations. It is shown that interesting conserved quantities arise from multipliers by using homotopy operator that is a powerful algorithmic tool. Furthermore, the invariance properties of the conserved flows with respect to the Lie point symmetry generators are investigated via the symmetry action on the multipliers. Furthermore, the similarity reductions and some exact solutions are provided. (C) 2013 Elsevier B. V. All rights reserved.

引用

页码：2212 / 2219

页数：8

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