Abstract:In this study, the fractional Sine-Gordon (SG) equations (time-fractional, space-fractional and timespace-fractional) are solved using Homotopy Perturbation Method (HPM). The crucial point is the attained remarkable result from these solutions. While the solutions of classical and time-fractional SG equations are kink of type (Although of being the same type, they are different from each other), solution of the space-fractional SG equation is breather of type i.e., different types of soliton solutions are obta… Show more
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