On the similarity solutions and conservation laws of the Cooper-Shepard-Sodano equation

被引：9

作者：

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

Recio, E. ^{[1
]}

Garrido, T. M. ^{[1
]}

Marquez, A. P. ^{[1
]}

de la Rosa, R. ^{[1
]}

机构：

[1] Univ Cadiz, Dept Matemat, POB 40, Cadiz 11510, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 17期

关键词：

conservation laws; exact solutions; multiplier method; partial differential equations; symmetries; SOLITARY WAVES; COMPACTONS; SOLITONS;

D O I：

10.1002/mma.4829

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, for the Cooper-Shepard-Sodano equation, some conservation laws are obtained by applying the multiplier method. Furthermore, we study this equation from the point of view of Lie symmetries. We perform an analysis of the symmetry reductions taking into account the similarity variables and the similarity solutions, which allow us to transform our equation into ordinary differential equations.

引用

页码：7325 / 7332

页数：8

共 24 条

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