Homotopy perturbation method for solving a system of Schrödinger-Korteweg-de Vries equations

Khalili Golmankhaneh A., Golmankhaneh A. K., Baleanu D.

Romanian Reports in Physics, cilt.63, sa.3, ss.609-623, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 3
  • Basım Tarihi: 2011
  • Dergi Adı: Romanian Reports in Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.609-623
  • Anahtar Kelimeler: Caputo fractional derivative, Fractional Schrödinger-Korteweg-de Vries, Homotopy perturbation method
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Numerical methods used to find exact solution for the nonlinear differential equations. During the past decades Iterative methods has attracted attention of researcher for solving fractional differential equations. In the present paper, the homotopy perturbation method has been successively used to obtain approximate analytical solutions of the fractional coupled Schrödinger-Korteweg-de Vries and coupled system of diffusion-reaction equation equations. We consider fractional derivative in the Caputo sense. We have illustrated by examples the ability of proposed algorithm for solving fractional system of nonlinear equation.