Symmetric Ground States Solutions of M-Coupled Nonlinear Schrodinger Equations

TL;DR

This paper proves the existence of symmetric ground state solutions for a broad class of m-coupled nonlinear Schrödinger equations, highlighting their radial and decreasing nature.

Contribution

It establishes the existence of symmetric ground states for m-coupled nonlinear Schrödinger equations with general nonlinearities, expanding previous results.

Findings

Existence of radial ground states proven

Ground states are radially decreasing

Applicable to general nonlinearities

Abstract

We prove the existence of radial and radially decreasing ground states of an m-coupled nonlinear Schrodinger equation with a general nonlinearity.