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

Gözükizil Ö. F., Akçaǧil Ş.

Advances in Difference Equations, vol.2013, 2013 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1847-2013-143
  • Journal Name: Advances in Difference Equations
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation, Generalised hyperelastic-rod wave equation, Nonlinear pseudoparabolic equation, One-dimensional Oskolkov equation, Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation, Tanh-coth method
  • Bilecik Şeyh Edebali University Affiliated: No

Abstract

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. © 2013 Gözükizil and Akçaǧil; licensee Springer.