Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 148, pp. 1-6.
Title: A note on radial nonlinear Schrodinger systems
with nonlinearity spatially modulated
Author: Juan Belmonte-Beitia (Univ. de Castilla, La Mancha, Spain)
Abstract:
First, we prove that for Schrodinger radial systems
the polar angular coordinate must satisfy $\theta'= 0$.
Then using radial symmetry, we transform the system
into a generalized Ermakov-Pinney equation and prove the existence
of positive periodic solutions.
Submitted May 13, 2008. Published October 29, 2008.
Math Subject Classifications: 35Q55, 34B15, 35Q51.
Key Words: Nonlinear Schrodinger equation; nonlinearity spatially modulated;
Ermakov-Pinney equation; fixed point theorem.