A note on coupled nonlinear Schr\"odinger systems under the effect of general nonlinearities

TL;DR

This paper proves the existence of non-trivial solutions for a system of coupled nonlinear Schrödinger equations with broad classes of nonlinearities, advancing mathematical understanding of such complex systems.

Contribution

It introduces new existence results for coupled nonlinear Schrödinger systems with general nonlinearities, expanding previous theoretical frameworks.

Findings

Existence of non-trivial solutions established.

Applicable to a wide range of nonlinearities.

Provides mathematical foundation for further studies.

Abstract

We prove the existence of non-trivial solutions to a system of coupled, nonlinear, Schroedinger equations with general nonlinearity.