Abstract
In this study, we establish new travelling wave Solitons solutions by using three methods. These methods are Tan-Cot method, Extended Tanh-Coth method, and Modified Simple equation Method. These methods are used to obtain new solitary wave trigonometric and hyperbolic functions solutions for the generalized Schamel-Korteweg-de Vries (S-KdV) equation. These methods have been successfully applied to construct new solitary solutions as illustrated in figures. The three methods are efficient and reliable for solving great many nonlinear partial differential equations in physics.
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