Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave

Abstract

The multiple Exp-function method is employed for searching the multiple soliton solutions for the (2+1)-dimensional generalized Hirota-Satsuma-Ito (HSI) equation, which contain one-soliton, two-soliton, and triple-soliton kind solutions. Then the lump and interaction solutions are also obtained by the Hirota method for the aforementioned equation. For these obtained solutions, they are mentioned in the theory of the shallow water wave. On the other hand, these three-dimensional, contour, density, and two-dimensional stereograms of the 1-, 2-soliton solutions are depicted with the physical parameter changing. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values.