An application for a generalized KdV equation by the decomposition method

KAYA D., Aassila M.

Physics Letters, Section A: General, Atomic and Solid State Physics, cilt.299, sa.2-3, ss.201-206, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 299 Sayı: 2-3
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1016/s0375-9601(02)00652-7
  • 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.201-206
  • Anahtar Kelimeler: Adomian decomposition method, Generalized KdV equation, Self-canceling noise terms, Solitary wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

The explicit solutions to a generalized Korteweg-de Vries equation (KdV for short) with initial condition are calculated by using the Adomian decomposition method. Using this approach we obtained for the numerical solutions of initial-value KdV equation. Numerical illustrations on well-known KdV equation with the rational and solitary wave solutions indicate that the decomposition method is efficient and accurate. In addition, an illustration of the self canceling phenomena is also given. © 2002 Elsevier Science B.V. All rights reserved.