Travelling wave solutions to the Benney-Luke and the higher-order improved boussinesq equations of Sobolev type

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Gözükizil Ö. F., Akçaǧil Ş.

Abstract and Applied Analysis, cilt.2012, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2012
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1155/2012/890574
  • Dergi Adı: Abstract and Applied Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Hayır

Özet

By using the tanh-coth method, we obtained some travelling wave solutions of two well-known nonlinear Sobolev type partial differential equations, namely, the Benney-Luke equation and the higher-order improved Boussinesq equation. We show that the tanh-coth method is a useful, reliable, and concise method to solve these types of equations. © 2012 Ömer Faruk Gözükizil and Şamil Akçaǧil.