Abstract
Under investigation is a (2+1)-dimensional generalized Hirota–Satsuma–Ito (gHSI) equation. Multi-wave solutions are presented using the three-wave method. Breather wave solutions are derived based on the homoclinic breather approach. Interaction solutions between lump and two solitary wave solutions are constructed via Hirota direct method. Through giving some special values to the parameters, dynamical behaviors of the obtained solutions are demonstrated in some 3D and contour plots.
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