Classical symmetries, travelling wave solutions and conservation laws of a generalized Fornberg-Whitham equation

被引：12
|
作者：
Camacho, J. C. [1 ]
Rosa, M. [1 ]
Gandarias, M. L. [1 ]
Bruzon, M. S. [1 ]
机构：
[1] Univ Cadiz, Cadiz, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 318卷
关键词：
Partial differential equations; Symmetries; Conservation laws;
D O I：
10.1016/j.cam.2016.11.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a generalized Fornberg-Whitham Equation. We make an analysis of the symmetries of this equation using the classical Lie symmetry method. Symmetry reductions are derived from an optimal system of subalgebras and lead to ordinary differential equations. We obtain travelling wave solutions. In addition, using the general multiplier method, new conservation laws of this equation are determined. (C) 2016 Elsevier B.V. All rights reserved.
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页码：149 / 155
页数：7
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