On a generalized fifth order KdV equations

KAYA D., El-Sayed S. M.

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.310, sa.1, ss.44-51, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 310 Sayı: 1
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0375-9601(03)00215-9
  • 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.44-51
  • Anahtar Kelimeler: Adomian decomposition method, Convergence of Adomian decomposition method, Lax's fifth order KdV equation, Sawada-Kotera equation, Solitary-wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this Letter, we dealt with finding the solutions of a generalized fifth order KdV equation (for short, gfKdV) by using the Adomian decomposition method (for short, ADM). We prove the convergence of ADM applied to the gfKdV equation. Then we obtain the exact solitary-wave solutions and numerical solutions of the gfKdV equation for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the gfKdV equation. © 2003 Elsevier Science B.V. All rights reserved.