A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated

Abstract

First, we prove that for Schrodinger radial systems the polar angular coordinate must satisfy $heta'= 0$. Then using radial symmetry, we transform the system into a generalized Ermakov-Pinney equation and prove the existence of positive periodic solutions.

Keywords

• Nonlinear Schrodinger equation
• nonlinearity spatially modulated
• Ermakov-Pinney equation
• fixed point theorem