M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation

In this paper, the N-soliton solutions of a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation are obtained by means of the bilinear method. By applying the long wave limit to the N-solitons, the M-lump waves are constructed. The propagation orbits, velocities and the collisions among the lumps of the M-lump waves are analyzed. Three kinds of high-order hybrid solutions are presented, which contain the hybrid solution between lumps and solitons, a 1-lump and 1-breather, and a m-breather and n-soliton. The results are helpful to explain some nonlinear phenomena of the generalized shallow water wave model. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

In this paper, N-soliton solutions of a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation are obtained using the bilinear method. By applying the long wave limit to the N-solitons, M-lump waves are constructed and their propagation orbits, velocities, and collisions are analyzed. Additionally, three kinds of high-order hybrid solutions are presented to explain nonlinear phenomena in the generalized shallow water wave model.