Orbital stability of standing waves of some m-coupled nonlinear Schrodinger equations

TL;DR

This paper extends the concept of orbital stability to systems of coupled nonlinear Schrödinger equations and proves this stability under specific conditions related to the local nonlinearity.

Contribution

It introduces a generalized notion of orbital stability for m-coupled nonlinear Schrödinger systems and establishes conditions for its validity.

Findings

Orbital stability is extended to coupled systems.

Stability is proven under assumptions on local nonlinearity.

Theoretical framework for stability analysis is developed.

Abstract

We extend the notion of orbital stability to systems of nonlinear Schrodinger equations, then we prove this property under suitable assumptions of the local nonlinearity involved.