ON GENERAL FORM OF THE TANH METHOD AND ITS APPLICATION TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, cilt.6, sa.2, ss.175-181, 2016 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 6 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.3934/naco.2016007
- Dergi Adı: NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.175-181
- Anahtar Kelimeler: Tanh method, nonlinear partial differential equations, exact solutions, nonlinear travelling waves, SOLITARY WAVE SOLUTIONS, EVOLUTION, TOOL
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
The tanh method is used to compute travelling waves solutions of one-dimensional nonlinear wave and evolution equations. The technique is based on seeking travelling wave solutions in the form of a finite series in tanh. In this article, we introduce a new general form of tanh transformation and solve well-known nonlinear partial differential equations in which tanh method becomes weaker in the sense of obtaining general form of solutions.