Abstract
In this paper, Riesz fractional coupled Schrödinger–KdV (SK) equations have been solved by implementing a new approach viz. time-splitting spectral method. In order to verify the results, it has also been solved by an implicit finite difference method by using fractional centered difference approximation for Riesz fractional derivative. The obtained results manifest that the proposed time-splitting spectral method is very effective and simple for obtaining approximate solutions of Riesz fractional coupled SK equations. In order to show the reliability and efficiency of the proposed methods, numerical solutions obtained by these methods have been presented graphically.
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