1-SOLITON SOLUTION OF KADOMTSEV-PETVIASHVILI EQUATION WITH GENERALIZED EVOLUTION USING SIGMOID FUNCTION

Abstract

This study calculatesthe solution of (3+1)-dimensional generalized Kadomtsev–Petviashvili(KP) equation by using sigmoid function. KP equations is the 2D analog of the Korteweg-de Vries (KdV) equation that models the flow of shallow water waves. The solitary wave ansatz method is applied to accomplish the integration of such equations. The parameter domain is the key factor to recognizethese types of equations. Numerical simulations and graphs also produced in this study.