Existence of Bound and Ground States for a System of Coupled Nonlinear Schr\"odinger-KdV Equations

TL;DR

This paper proves the existence of bound and ground states for a coupled nonlinear Schrödinger-KdV system, with results depending on the coupling coefficient's magnitude.

Contribution

It establishes the existence of bound and ground states for the coupled system, highlighting the role of the coupling coefficient's size.

Findings

Existence of bound states established

Existence of ground states established

Results depend on the coupling coefficient's size

Abstract

We prove the existence of bound and ground states for a system of coupled nonlinear Schr\"odinger-Korteweg-de Vries equations, depending on the size of the coupling coefficient.