Solitary wave and periodic wave solutions for Burgers, Fisher, Huxley and combined forms of these equations by the (G ' /G)-expansion method

Manafian J., Lakestanı M.

Pramana - Journal of Physics, cilt.85, sa.1, ss.31-52, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 85 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s12043-014-0887-2
  • Dergi Adı: Pramana - Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.31-52
  • Anahtar Kelimeler: Burgers equation, Burgers-fisher equation, Burgers-huxley equation, Fisher's equation, Huxley equation, The generalized (G'/G)-expansion method
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

An application of the (G'/G)-expansion method to search for exact solutions of nonlinear partial differential equations is analysed. This method is used for Burgers, Fisher, Huxley equations and combined forms of these equations. The (G'/G)-expansion method was used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that the (G'/G)-expansion method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.