Dynamics of solitons in multicomponent long wave-short wave resonance interaction system

Abstract

In this paper, we study the formation of solitons, their propagation and collision behaviour in an integrable multicomponent (2+1)-dimensional long wave-short wave resonance interaction ($M$-LSRI) system. First, we briefly revisit our earlier results on the dynamics of bright solitons and demonstrate the fascinating energy exchange collision of bright solitons appearing in the short-wave components of the $M$-LSRI system. Then, we explicitly construct the exact one- and two- multicomponent dark soliton solutions of the $M$-LSRI system by using the Hirota's direct method and explore its propagation dynamics. Also, we study the features of dark soliton collisions.