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

Advances in Difference Equations

mer Faruk Gzkzl¹  amil Akal¹ 

[1] Department of Mathematics, Sakarya University, Sakarya, Turkey

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;   

DOI  :  10.1186/1687-1847-2013-143

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY