Abstract
Recently, finding exact solutions of nonlinear fractional differential equations has attracted great interest. In this paper, the space time-fractional Klein-Gordon equation with cubic nonlinearities is examined. Firstly, suitable exact soliton solutions are formally extacted 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.
Keywords
Klein–Gordon equation
Space (punctuation)
Mathematics
Cubic function
Mathematical analysis
Exact solutions in general relativity
Space time
Spacetime
Cubic form
Applied mathematics
Mathematical physics
Physics
Computer science
Nonlinear system
Quantum mechanics
Engineering
Subject Areas
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Nonlinear Waves and Solitons
·Statistical and Nonlinear Physics ·Physical Sciences
Advanced Mathematical Physics Problems
·Mathematical Physics ·Physical Sciences
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