Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method

KAYA D., El-Sayed S. M.

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.320, sa.2-3, ss.192-199, 2003 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 320 Sayı: 2-3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/j.physleta.2003.11.021
  • Dergi Adı: Physics Letters, Section A: General, Atomic and Solid State Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.192-199
  • Anahtar Kelimeler: (2 + 1)-dimensional potential Kadomtsev-Petviashvili equation, Adomian decomposition method, Soliton-like solutions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this Letter we present an Adomian's decomposition method (shortly ADM) for obtaining the numerical soliton-like solutions of the potential Kadomtsev-Petviashvili (shortly PKP) equation. We will prove the convergence of the ADM. We obtain the exact and numerical solitary-wave solutions of the PKP equation for certain initial conditions. Then ADM yields the analytic approximate solution with fast convergence rate and high accuracy through previous works. The numerical solutions are compared with the known analytical solutions. © 2003 Elsevier B.V. All rights reserved.