New exact solitary wave solutions for the extended (3 + 1)-dimensional Jimbo-Miwa equations

Abstract

In this manuscript, new solitary wave solutions for the newly introduced extended (3 + 1)-dimensional Jimbo-Miwa equations (the first and second) by Wazwaz (2017) are presented alongside the classical equation solution for comparison. The powerful Kudryashov method was utilized in treating the equations with the aid of symbolic computation using Mathematica. A kind of comparison analysis is provided alongside the results and discussion of the considered problems. Some graphical representations of the problems and that of comparison are also provided. The paper is organized as follows: section “The Kudryashov method” presented the method; section “Application” gives the application. Finally, sections “Results and discussion” and “Conclusion” discusses results and makes conclusion, respectively. Keywords: Jimbo-Miwa equation, Extended Jimbo-Miwa equations, Kudryashov method