Multi soliton solutions, M-lump waves and mixed soliton-lump solutions to the awada-Kotera equation in (2+1)-dimensions

Abstract

In this research paper, the well-known simple Hirota's method is employed to study the (2+1)dimensional Sawad-Kotera equation. The logarithmic variable transformation is implemented on the proposed problem to construct the bilinear Hirota form. Based on its bilinear representation, the features of multi soliton solutions, M-lump waves, and the mixed 1-M-lump with one-soliton, and two-soliton solutions are explored. For one M-lump solution, the wave motion in the x and y directions are also studied. To better understand the physical phenomena of the gained solutions, three-dimensional graphics and their corresponding surfaces are also presented.