COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol.10, no.3, pp.674-685, 2022 (Peer-Reviewed Journal)
Article / Article
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS
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Space time fractional Klein-Gordon equation, Ansatz method, Modified Kudryashov method, Exact solutions, DARK SOLITON-SOLUTIONS, DIFFERENTIAL-EQUATIONS, ZAKHAROV-KUZNETSOV, PERIODIC-SOLUTIONS, 1-SOLITON SOLUTION, OPTICAL SOLITONS, COUPLE, BRIGHT
Recently, finding exact solutions of nonlinear fractional differential equations has attracted great interest. In this work, the space time-fractional Klein-Gordon equation with cubic nonlinearities is examined. Firstly, suitable exact soliton solutions are formally extracted by using the solitary wave ansatz method. Some solutions are also illustrated by the computer simulations. Besides, the modified Kudryashov method is used to construct exact solutions of this equation.