Construction of soliton solution to the Kadomtsev-Petviashvili-II equation using homotopy analysis method

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

Romanian Reports in Physics, cilt.65, sa.1, ss.76-83, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 1
  • Basım Tarihi: 2013
  • Dergi Adı: Romanian Reports in Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.76-83
  • Anahtar Kelimeler: H-curve, Homotopy analysis method, Kadomtsev-petviashvili-II equation, Soliton solution
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The Kadomtsev-Petviashvili (KP) equation is one of the most universal models in nonlinear wave theory, which arises as a reduction of system with quadratic nonlinearity which admit weakly dispersive waves, in a paraxial wave approximation. In this paper the homotopy analysis method (HAM) is applied to obtain approximate solution of KP-II equation. The series solution is developed and the recurrence relations are given explicitly. The results obtained ensure that this method is capable for solving a larger number of nonlinear partial differential equation that have with the application in physics and engineering. Numerical solution obtained by HAM is compared with exact solution.