Existence and positivity properties of solitary waves for a multicomponent long wave-short wave interaction system

TL;DR

This paper investigates the existence and properties of solitary wave solutions in a multicomponent long-wave-short-wave interaction system, relevant to plasma physics, optics, and fluid dynamics.

Contribution

It establishes the existence of solitary waves and analyzes their properties for a general multicomponent system, extending previous single-component results.

Findings

Existence of solitary wave solutions proven.

Properties of solutions characterized.

Relevance to physical systems confirmed.

Abstract

We study the existence of solitary-wave solutions and some of their properties for a general multicomponent long-wave-short-wave interaction system. The system considered here describes the nonlinear interaction of multiple short waves with a long-wave, and is of interest in plasma physics, nonlinear optics, and fluid dynamics.