An application of the decomposition method for the generalized KdV and RLW equations

KAYA D., El-Sayed S. M.

Chaos, Solitons and Fractals, cilt.17, sa.5, ss.869-877, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 5
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0960-0779(02)00569-6
  • Dergi Adı: Chaos, Solitons and Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.869-877
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We consider solitary-wave solutions of the generalized regularized long-wave (RLW) and Korteweg-de Vries (KdV) equations. We prove the convergence of Adomian decomposition method applied to the generalized RLW and KdV equations. Then we obtain the exact solitary-wave solutions and numerical solutions of the generalized RLW and KdV equations for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the generalized RLW and KdV equations. © 2003 Elsevier Science Ltd. All rights reserved.