A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated
J. Belmonte Beitia
Electronic Journal of Differential Equations, 148, 1-6 (2008)
MOLAB authors
Belmonte Beitia, Juan. 
Abstract
First, we prove that for Schr ̈odinger radial systems the polar angu- lar coordinate must satisfy θ␣ = 0. Then using radial symmetry, we transform the system into a generalized Ermakov-Pinney equation and prove the exis- tence of positive periodic solutions.