A numerical method for solving Jaulent-Miodek equation

KAYA D., El-Sayed S. M.

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.318, sa.4-5, ss.345-353, 2003 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 318 Sayı: 4-5
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/j.physleta.2003.08.033
  • 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.345-353
  • Anahtar Kelimeler: Adomian's decomposition method, Adomian's polynomials, Exact traveling wave solutions, Jaulent-Miodek equation, Numerical solution of differential equations
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

This Letter presents a numerical method, based on the Adomian's decomposition method (ADM), is presented of the Jaulent-Miodek (JM) equation. We obtain the numerical and exact travelling wave solutions of the JM equation for the initial conditions. The ADM method provides a better approximation to the exact solution than the classical methods. In order to show the efficiency of this method, exhaustive numerical examples are presented. © 2003 Elsevier B.V. All rights reserved.