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.
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页数：18
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