Soliton solutions for coupled Schrodinger systems with sign-changing potential

TL;DR

This paper investigates the existence of bound state solutions for coupled nonlinear Schrödinger systems with sign-changing potentials, using linking methods in Banach spaces to establish new existence results.

Contribution

It introduces a novel approach to prove the existence of solutions for coupled Schrödinger systems with sign-changing potentials, including linearly coupled cases.

Findings

Existence of non-trivial bound state solutions proven.

Applicable to systems with sign-changing potentials.

Utilizes linking methods in Banach spaces.

Abstract

In this paper, a class of coupled systems of nonlinear Schrodinger equations with sign-changing potential, including the linearly coupled case, is considered. The existence of non-trivial bound state solutions via linking methods for cones in Banach spaces is proved.