Fractional Sine–Gordon Equation Approach to the Coupled Higgs System Defined in Time-Fractional Form
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In the present study, we derive exact solutions to the conformable time-fractional form of the coupled Higgs system by the implementation of the fractional Sine–Gordon expansion approach. The derived solutions are of various forms covering multi-waves and complex-valued waveforms. The procedure is based on the relation between the trigonometric and the hyperbolic functions set by the solutions of the fractional Sine–Gordon equation. In this perspective, some of the reported solutions have differences from the former solutions in the literature.
KeywordsConformable fractional derivative Fractional coupled Higgs equations Solitary wave solution Fractional Sine–Gordon expansion method, complex waveforms
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