Exact solutions of some nonlinear partial differential equations

Inan I. E., KAYA D.

Physica A: Statistical Mechanics and its Applications, cilt.381, sa.1-2, ss.104-115, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 381 Sayı: 1-2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.physa.2007.04.011
  • Dergi Adı: Physica A: Statistical Mechanics and its Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.104-115
  • Anahtar Kelimeler: Complexly-coupled KdV equations, Generalized tanh function method, Sharma-Tasso-Olver equation, The boussinesq equation, The CKdV-equation, Traveling wave solutions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We implemented a generalized tanh function method for approximating the solution of the combined Korteweg-de Vries (CKdV) equation and Sharma-Tasso-Olver equation. By using this scheme, we found some exact solutions of the CKdV equation and Sharma-Tasso-Olver equation. For the further investigation of the method, some exact solutions of the Boussinesq equation and the complexly coupled KdV equations have been obtained. © 2007 Elsevier B.V. All rights reserved.