The multiple exp-function method to obtain soliton solutions of the conformable Date–Jimbo–Kashiwara–Miwa equations

Abstract

Considering the importance of using nonlinear evolution equations in the investigation of many natural phenomena, in this paper, we consider the [Formula: see text]-dimensional Date–Jimbo–Kashiwara–Miwa ([Formula: see text]-dimensional DJKM) equation, we will investigate the solutions for this equation. Using the multiple exp functions method, we obtain analytical solutions for this equation, which are one-soliton, two-soliton and three-soliton solutions and these solutions include three categories of soliton wave solutions, i.e., one-wave solutions, two-wave solutions and three wave solutions. We have performed all calculations with a computer algebra system such as Maple and have also provided a graphical representation of the obtained solutions.