M-lump waves and their interaction with multi-soliton solutions for a generalized Kadomtsev-Petviashvili equation in (3+1)-dimensions

Abstract

The aim of this work is a study of a generalized Kadomtsev-Petviashvili equation in (3+1) dimensions that arise in fluid mechanics and plasma physics. We use a long-wave method to construct some new solutions for a gKP equation such as single-M-lump wave, double-M-lump wave, triple-M-lump wave, interaction phenomena of one-M-lump with one-soliton and twosoliton solutions, as well as an interaction between two-M-lump and one-soliton solutions are constructed. To our knowledge presented solutions are new and have never been described before. Moreover, obtained solutions are shown graphically to more understand its physical phenomena.