a note on radial nonlinear schrodinger systems with nonlinearity spatially modulated
;Juan Belmonte-Beitia
icsoft 2006 - 1st international conference on software and data technologies, proceedings2008Vol. 2008pp. 1-6
90
belmonte-beitia2008electronica
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.