Elastic and inelastic interactions of periodic solutions for the 2+1-dimensional Ito equation

Abstract

In this paper, based on the bilinear form, we obtain 2-plane-soliton and 4-plane-soliton solutions for the 2+1-dimensional Ito equation. Particularly, both the elastic interactions and inelastic interactions of periodic waves are obtained. The existence conditions of periodic solitons and resonant solutions are provided. The asymptotic behaviors of the solutions are analyzed in detail to study the elastic and inelastic interactions. The interactional properties of obtained solutions are also investigated graphically.

Keywords

• Plane-soliton
• Periodic-soliton
• Resonant-periodic