Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations

El-Sayed S. M., KAYA D.

Applied Mathematics and Computation, cilt.167, sa.2, ss.1339-1349, 2005 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 167 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.08.012
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1339-1349
  • Anahtar Kelimeler: Blow-up solution, Periodic solution, The Adomian decomposition method, The Whitham-Broer-Kaup equation, Traveling wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, we find the explicit and numerical traveling wave solutions of Whitham-Broer-Kaup (for short WBK) equations, which contain blow-up solutions and periodic solutions, by using the decomposition method. By using this method, the solutions were calculated in the form of a convergent power series with easily computable components. The convergence of the method as applied to the Whitham-Broer-Kaup equations is illustrated numerically. © 2004 Elsevier Inc. All rights reserved.