# Classification of the solutions of a mixed nonlinear Schrodinger system

## TL;DR

This paper investigates the classification, existence, and uniqueness of steady-state solutions for a coupled system of nonlinear Schrödinger equations with mixed cubic and superlinear nonlinearities.

## Contribution

It provides a comprehensive classification and analysis of solutions for a mixed nonlinear Schrödinger system, including existence and uniqueness results.

## Key findings

- Classified solutions of the coupled NLS system.
- Proved existence of steady-state solutions.
- Established uniqueness of solutions under certain conditions.

## Abstract

In this paper, we study a couple of NLS equations characterized by mixed cubic and superlinear power laws. Classification of the solutions as well as existence and uniqueness of the steady state solutions have been investigated.