Solutions of local fractional sine-Gordon equations
| Autor: | Doğan Demirhan, H. Karayer, Fevzi Büyükkiliç |
|---|---|
| Přispěvatelé: | Ege Üniversitesi |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Mathematical analysis
[No Keywords] General Engineering General Physics and Astronomy 010103 numerical & computational mathematics Conformable matrix 01 natural sciences Domain (mathematical analysis) Fractional calculus 010101 applied mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Order (group theory) Sine 0101 mathematics Nonlinear Sciences::Pattern Formation and Solitons Mathematics |
| Popis: | EgeUn### In this paper, we study sine-Gordon equation in order to obtain exact solitary wave solutions in the domain of fractional calculus. By using the definition of conformable fractional derivative, we obtain analytical solutions of time, space and time-space fractional sine-Gordon equations. We analyze graphically the effect of fractional order on evolution of the kink and antikink type solitons. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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