Ground state of nonlinear Schrodinger systems with saturable nonlinearity

TL;DR

This paper proves the existence of bright counterpropagating solitons as ground states in a multidimensional nonlinear Schrödinger model with saturable nonlinearity, providing a threshold condition for their existence.

Contribution

It establishes the existence of ground states in a nonlinear Schrödinger system with saturable nonlinearity and derives a general threshold condition for fundamental solitons.

Findings

Existence of bright counterpropagating solitons as ground states.

A threshold condition on the beam coupling constant for soliton existence.

Mathematical proof of ground state existence in multidimensional models.

Abstract

We prove the existence of ground state in a multidimensional nonlinear Schrodinger model of paraxial beam propagation in isotropic local media with saturable nonlinearity. Such ground states exist in the form of bright counterpropagating solitons. From the proof, a general threshold condition on the beam coupling constant for the existence of such fundamental solitons follows.