The investigation of exact solutions of nonlinear time fractional Klein Gordon equation by using generalized Kudryashov method
AIP CONFERENCE PROCEEDINGS, cilt.1637, ss.283-289, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 1637
- Basım Tarihi: 2014
- Doi Numarası: 10.1063/1.4904590
- Dergi Adı: AIP CONFERENCE PROCEEDINGS
- Derginin Tarandığı İndeksler: Scopus, Aerospace Database, Science Citation Index Expanded (SCI-EXPANDED), Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.283-289
- Anahtar Kelimeler: Nonlinear Time-Fractional Klein-Gordon Equation, Generalized Kudryashov Method, Soliton Solutions, Hyperbolic Function Solutions, FINDING EXACT-SOLUTIONS
- Yozgat Bozok Üniversitesi Adresli: Evet
Özet
In this study, we consider exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method (GKM). The nonlinear time-fractional Klein-Gordon equation can be converted into nonlinear ordinary differantial equation by transformation. Consequently, GKM has been implemented to find exact solutions of nonlinear time-fractional Klein-Gordon equation and we obtain some new solutions such as soliton solutions and hyperbolic function solutions. Moreover, we point out that this method is a generalized form of classical Kudryashov Method.