Solutions of local fractional sine-Gordon equations |
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| Authors: | H Karayer D Demirhan F Buyukkilic |
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| Institution: | 1. Faculty of Arts and Sciences, Department of Physics, Kirklareli University , Kirklareli, Turkey.;2. Faculty of Sport Sciences, Ege University , Izmir, Turkey.;3. Faculty of Science, Department of Physics, Ege University , Izmir, Turkey, . |
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| Abstract: | 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. |
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