Integrability, invariant and soliton solutions of generalized Kadomtsev-Petviashvili-modified equal width equation

Abstract

In this paper, the Painlevé analysis is applied to test the integrability of the generalized Kadomtsev–Petviashvili-modified equal width (KP-MEW) equation with time dependent coefficients. Symmetry reductions and some corresponding invariant solutions in the integrable cases are completely considered. Soliton solutions of constant variables case in two integrable cases are reported.