Topological and Nontopological 1-Soliton Solution of the Generalized KP-MEW Equation

Abstract

In this paper, we obtain the topological and nontopological 1-soliton solution of the generalized Kadomtsev–Petviashvili modified equal width (KP-MEW) equation. The use of solitary wave ansatz method in context of doubly periodic Jacobi elliptic functions is done, which leads to the exact topological and nontopological soliton solutions. The Jacobi elliptic function solution degenerates into solitary wave solution in the limiting case of the modulus parameter. We derive the power law nonlinearity parameter domain for the existence of soliton solution, which is different for the topological and nontopological soliton. Also we identify the parametric restriction on the coefficients for the existence of solitary wave solutions. Finally, the remarkable features of such solitons are demonstrated in several interesting figures.