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

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...

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Bibliographic Details
Published in:Advances in difference equations 2013-05, Vol.2013 (1), p.143-143, Article 143
Main Authors: Gözükızıl, Ömer Faruk, Akçağıl, Şamil
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Functional Analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Proceedings of the International Congress in Honour of Professor Hari M. Srivastava
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Summary: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.
ISSN:1687-1847
1687-1847
DOI:10.1186/1687-1847-2013-143