Kamal Transform Based Analytical Solution of a Generalized Nonlinear Hirota-Satsuma Coupled Equation

The Kamal decomposition transform method was used to solve generalised Hirota-Satsuma Coupled Kdv equations numerically in this work. To linearize the nonlinear variables, an Adomian polynomial was added into the Kamal transform method. The obtained findings were compared to those obtained using the homotopy perturbation approach (HPM). The numerical findings show that the Kamal decomposition transform method is more effective, convenient, and accurate than other methods for solving nonlinear partial differential equations in science and engineering.

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