New solutions of the time-fractional Hirota-Satsuma coupled KdV equation by three distinct methods. (English) Zbl 07793966
Summary: In this paper, new solutions of the time-fractional Hirota-Satsuma coupled KdV equation model the intercommunication between two long waves that have well-defined dispersion connection received successfully by the unified method, the improved \(F\)-expansion method and the homogeneous balance method. In contrast, these methods are simple and efficient, and can obtain different exact solutions to this equation. By symbolic calculation, polynomial solutions, hyperbolic function solutions, trigonometric function solutions, rational function solutions, etc. are acquired. Furthermore, we plot and analyze some solutions.
Keywords:
Hirota-Satsuma coupled KdV equation; the unified method; the improved \(F\)-expansion method; the homogeneous balance methodReferences:
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