Stability of Solitary Waves for Three Coupled Long Wave - Short Wave Interaction Equations

TL;DR

This paper investigates the stability of solitary wave solutions in a three-component long wave-short wave interaction system, demonstrating their orbital stability through variational methods.

Contribution

It establishes the orbital stability of solitary waves in a three-component system, a novel result for this class of coupled equations.

Findings

Existence of a two-parameter family of solitary wave solutions.

Proof of orbital stability using variational techniques.

Contribution to understanding wave stability in coupled systems.

Abstract

In this paper we consider a three-component system of one dimensional long wave-short wave interaction equations. The system has two-parameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions using variational methods.