Exact solutions of a generalized Boussinesq equation

被引：19

作者：

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

机构：

[1] Univ Cadiz, Dept Matemat, Cadiz, Spain

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2009年 / 160卷 / 01期

关键词：

partial differential equation; symmetry; solution; DOUBLE DISPERSION-EQUATION; NONCLASSICAL SYMMETRIES; REDUCTIONS;

D O I：

10.1007/s11232-009-0079-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze a generalized Boussinesq equation using the theory of symmetry reductions of partial differential equations. The Lie symmetry group analysis of this equation shows that the equation has only a two-parameter point symmetry group corresponding to traveling-wave solutions. To obtain exact solutions, we use two procedures: a direct method and the G'/G-expansion method. We express the traveling-wave solutions in terms of hyperbolic, trigonometric, and rational functions.

引用

页码：894 / 904

页数：11

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