Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations
Applied Mathematics and Computation, cilt.167, sa.2, ss.1339-1349, 2005 (SCI-Expanded, Scopus)
- 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.