4.6 Article

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

期刊

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 41, 期 17, 页码 7566-7575

出版社

WILEY
DOI: 10.1002/mma.5219

关键词

Bell polynomials; exact solutions; extended (3+1)-dimensional Jimbo-Miwa equations; Painleve analysis

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In this work, we investigate extended (3+1)-dimensional Jimbo-Miwa equations by locating movable critical points with the aid of Painleve analysis. We construct bilinear forms through using truncated Painleve 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.

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