Space-curved resonant solitons and inelastic interaction solutions of a (2+1)-dimensional generalized KdV equation

The nonlinear phenomenon of space-curved resonant solitons is mainly focused on. An integrable (2+1)-dimensional generalized KdV equation in the sense of the Hirota’s bilinear method is considered to construct the interaction solutions consisting of multiple-space-curved resonant solitons. The characteristics including curvature, width and interaction dynamics of this kind of resonant soliton are studied systematically. The inelastic interaction solutions consisting of the space-curved resonant solitons and lump waves are obtained in virtue of the new constraints of parameters and the method of long wave limit. The amplitude of the lump wave significantly increases after collision with multiple-space-curved resonant solitons, which indicates a new mechanism for generating rogue waves. The results expand our understanding of the resonance of solitons and interaction dynamics of the nonlinear waves.