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

Gözükizil Ö. F., Akçaǧil Ş.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-1847-2013-143
  • Dergi Adı: Advances in Difference Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Hayır

Özet

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.