Space-curved resonant solitons and interaction solutions of the (2+1)-dimensional Ito equation

In this paper, the space-curved resonant solitons of the (2+1)-dimensional Ito equation are constructed by means of a new constraint of the parameters of the N-solitons. The characteristics of the space-curved resonant solitons including trajectories, curvatures and widths are investigated in detail. The interaction solutions consisting of a space-curved resonant soliton and a lump are obtained via the long wave limit method. These results further help us to understand the resonance of solitons and interaction dynamics existing in the high-dimensional integrable systems.