Solitary pattern solution of fractional Triki–Biswas and generalised KdV–Zakharov–Kuznetsov equations

Abstract

The major objective of this study is to create solitary pattern solutions to the generalised KdV–Zakharov–Kuznetsov equation and fractional-order Triki–Biswas equation using an iterative procedure known as the residual power series method (RPSM). The efficiency of the suggested technique has been demonstrated by example considerations and the results have been graphically demonstrated. This article also discusses the numerical solution of the technique presented. The current method has been demonstrated to be reliable, highly effective and straightforward and can be used in numerous forms of fractional differential equations developed and in scientific domains.