Abstract
By applying the binary bell polynomial scheme, the bilinear form, Bäcklund Transformations, and lax pairs of an extended (3+1)‐dimensional Jimbo‐miwa (JM) equation are constructed. Next, periodic wave‐type solutions can also be obtained to the extended (3+1)‐dimensional JM equation through the three‐wave method with the help of maple. Finally, a test function of the sech‐function method is utilized to get solitary waves of this study problem. These new results can help us better understand interesting physical phenomena and mechanism.
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