Implementation of two variable expansion method for extended Jimbo–Miwa equations

Abstract

Under study in this paper, we search new class of analytical solutions of (3+1)-dimensional extended Jimbo–Miwa equations which are derived by adding some extra terms to commonly used and known Jimbo–Miwa equation. These two extended equations represents some wave structures, so their wave solutions are influential in fluid dynamics. Also the (G′/G,1/G)-expansion method is proved to be beneficial process for finding the wave solutions. In addition, the physical characterization of the obtained analytical solutions is available by virtue of graphics, with chosen fixed values of several parameters.