New exact solutions to extended (3 + 1)‐dimensional Jimbo‐Miwa equations by using bilinear forms

Abstract

In this work, we investigate extended (3 + 1)‐dimensional Jimbo‐Miwa equations by locating movable critical points with the aid of Painlevé analysis. We construct bilinear forms through using truncated Painlevé expansions along with the Bell polynomials approach. The proposed approach provides enough freedom to construct solutions that may be related to large variety of real physical phenomena, and in addition, this approach enriches the solution structure. Abundant exact solutions involving various arbitrary constants are furnished in uniform manner by using test function. The obtained solutions are entirely new and different from those reported in the literature.