Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine-cosine method
International Journal of Computer Mathematics, cilt.83, sa.12, ss.915-924, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 83 Sayı: 12
- Basım Tarihi: 2006
- Doi Numarası: 10.1080/00207160601138756
- Dergi Adı: International Journal of Computer Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.915-924
- Anahtar Kelimeler: Klein-Gordon equations, Konopelchenko-Dubrovsky equations, Nizhnik-Novikov-Veselov equations, Sine-cosine method, Solitons
- Uşak Üniversitesi Adresli: Hayır
Özet
In this paper, we establish exact solutions for coupled nonlinear evolution equations. The sine-cosine method is used to construct exact periodic and soliton solutions of coupled nonlinear evolution equations. Many new families of exact travelling wave solutions of the (2+1)-dimensional Konopelchenko- Dubrovsky equations and the coupled nonlinear Klein-Gordon and Nizhnik-Novikov-Veselov equations are successfully obtained. The obtained solutions include compactons, solitons, solitary patterns and periodic solutions. These solutions may be important and of significance for the explanation of some practical physical problems.