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

TL;DR

This paper investigates the formation, propagation, and collision dynamics of bright and dark solitons in an integrable multicomponent (2+1)-dimensional long wave-short wave resonance interaction system, using Hirota's method.

Contribution

It provides explicit exact solutions for multicomponent dark solitons and analyzes their collision behavior, extending previous work on bright solitons in the system.

Findings

Bright solitons exhibit energy exchange during collisions.

Explicit dark soliton solutions are constructed using Hirota's method.

Dark soliton collisions show specific interaction features.

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.