Investigating one-, two-, and triple-wave solutions via multiple exp-function method arising in engineering sciences (Q2246557)

Summary: The multiple Exp-function method is employed for searching the multiple soliton solutions for the new extended \((3+1)\)-dimensional Jimbo-Miwa-like (JM) equation, the extended \((2+1)\)-dimensional Calogero-Bogoyavlenskii-Schiff (eCBS) equation, the generalization of the \((2+1)\)-dimensional Bogoyavlensky-Konopelchenko (BK) equation, and a variable-coefficient extension of the DJKM (vDJKM) equation, which contain one-soliton-, two-soliton-, and triple-soliton-kind solutions. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values.