Derivation of Korteweg-de Vries flow equations from the regularized long-wave (RLW) equation

Ozer M. N., KOPARAN M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.5, ss.2277-2280, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 5
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.amc.2011.07.045
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2277-2280
  • Anahtar Kelimeler: Regularized long-wave (RLW) equation, KdV equation, Multiple-time scales, INVERSE SCATTERING TRANSFORM, SYMMETRIES, SYSTEMS
  • Anadolu Üniversitesi Adresli: Evet

Özet

We perform a multiple-time scales analysis and compatibility condition to the regularized long-wave (RLW) equation. We derive Korteweg-de Vries (KdV) flow equation in the bi-Hamiltonian form as an amplitude equation. (C) 2011 Elsevier Inc. All rights reserved.