The tanh-coth method for some nonlinear pseudoparabolic equations with exact solutions

被引：44

作者：

Gozukizil, Omer Faruk ^{[1
]}

Akcagil, Samil ^{[1
]}

机构：

[1] Sakarya Univ, Dept Math, Sakarya, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

nonlinear pseudoparabolic equation; Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation; Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation; one-dimensional Oskolkov equation; generalised hyperelastic-rod wave equation; tanh-coth method; SOLITARY WAVE SOLUTIONS; CAMASSA-HOLM; VARIANTS; COMPACT;

D O I：

10.1186/1687-1847-2013-143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We studied mostly important four nonlinear pseudoparabolic physical models: the Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation, the Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation, the one-dimensional Oskolkov equation and the generalised hyperelastic-rod wave equation. By using the tanh-coth method and symbolic computation system Maple, we have obtained abundant new solutions of these equations. The exact solutions show that the tanh-coth method is a powerful mathematical tool for solving nonlinear pseudoparabolic equations.

引用

页数：18

共 32 条

[11] Travelling Wave Solutions to the Benney-Luke and the Higher-Order Improved Boussinesq Equations of Sobolev Type [J].