An application of the ADM to seven-order Sawada-Kotara equations

El-Sayed S. M., KAYA D.

Applied Mathematics and Computation, cilt.157, sa.1, ss.93-101, 2004 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 157 Sayı: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.amc.2003.08.104
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.93-101
  • Anahtar Kelimeler: Lax's seventh-order KdV equation, Solitary-wave solution, The Adomian decomposition method, The convergence of Adomian decomposition method, The seventh-order Sawada-Kotera equation
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We implemented the Adomian decomposition method (for short, ADM) for approximating the solution of the seventh-order Sawada-Kotera (for short, sSK) and a Lax's seventh-order KdV (for short, LsKdV) equations. By using this scheme, explicit exact solution is calculated. We obtain the exact solitary-wave solutions and numerical solutions of the LsKdV and sSK equations for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the both seven-order equations. © 2003 Elsevier Inc. All rights reserved.