On the solution of the coupled Schrödinger-KdV equation by the decomposition method

KAYA D., El-Sayed S. M.

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.313, sa.1-2, ss.82-88, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 313 Sayı: 1-2
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0375-9601(03)00723-0
  • 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.82-88
  • Anahtar Kelimeler: Adomian decomposition method, Coupled Schrödinger-KdV equation, Numerical solution, Traveling wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this Letter, we consider a coupled Schrödinger-Korteweg-de Vries equation (or Sch-KdV) equation with appropriate initial values using the Adomian's decomposition method (or ADM). In this method, the solution is calculated in the form of a convergent power series with easily computable components. The method does not need linearization, weak nonlinearity assumptions or perturbation theory. The convergence of the method as applied to Sch-KdV is illustrated numerically. © 2003 Elsevier Science B.V. All rights reserved.