Symbolic computation and new families of exact travelling solutions for the Kawahara and modified Kawahara equations
Computers and Mathematics with Applications, cilt.55, sa.6, ss.1113-1121, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 6
- Basım Tarihi: 2008
- Doi Numarası: 10.1016/j.camwa.2007.06.018
- Dergi Adı: Computers and Mathematics with Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1113-1121
- Anahtar Kelimeler: Exponential rational function method, Kawahara equation, Modified Kawahara equation, Tanh method, Traveling wave solutions
- Uşak Üniversitesi Adresli: Hayır
Özet
In this paper, we consider the nonlinear evolution equations such as Kawahara equation and modified Kawahara equation. By using the tanh method and an exp-function method, the travelling wave solutions for the these equations are presented. New exact travelling solutions are explicitly obtained with the aid of symbolic computation. The obtained solutions include compactons, solitons, solitary patterns and periodic solutions. © 2007 Elsevier Ltd. All rights reserved.