The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations
Chaos, Solitons and Fractals, cilt.38, sa.4, ss.1126-1133, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 4
- Basım Tarihi: 2008
- Doi Numarası: 10.1016/j.chaos.2007.02.004
- Dergi Adı: Chaos, Solitons and Fractals
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1126-1133
- Uşak Üniversitesi Adresli: Hayır
Özet
In this paper, we establish exact solutions for nonlinear evolution equations. The tanh and sine-cosine methods are used to construct exact periodic and soliton solutions of nonlinear evolution equations. Many new families of exact travelling wave solutions of the Vakhnenko and modified Benjamin-Bona-Mahony (MBBM) equations are successfully obtained. The obtained solutions include solitons, solitary and periodic solutions. These solutions may be important of significance for the explanation of some practical physical problems. © 2007 Elsevier Ltd. All rights reserved.