Analytical approximate solutions of the Zakharov-Kuznetsov equations

Jafarian A., Ghaderi P., Khalili Golmankhaneh A., Baleanu D.

Romanian Reports in Physics, cilt.66, sa.2, ss.296-306, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 66 Sayı: 2
  • Basım Tarihi: 2014
  • Dergi Adı: Romanian Reports in Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.296-306
  • Anahtar Kelimeler: Analytical approximate solution, He's polynomials iterative method, Homotopy analysis method, Zakharov-Kuznetsov equation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, analytical approximate solutions for the Zakharov-Kuznetsov equations by homotopy analysis method (HAM) and the He's polynomials iterative method (HPIM) are presented. Our results indicate the remarkable efficiency of HAM as compared to HPIM. The convergence of these two methods is also analyzed.