TITLE:
Vortex Solitons for a Class of Schrödinger Equation with Square Root Nonlinear Term
AUTHORS:
Weikang Chen
KEYWORDS:
Optical Vortex Solitons, Square Root Nonliear, Constrained Minimization
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.10 No.4,
April
9,
2020
ABSTRACT: In this paper, we prove an existence theory for ring-profiled optical vortex solitons via constrained minimization, which are considered in the context of an electromagnetic light wave propagating in a nonlinear media and governed by a nonlinear Schrödinger type equation with square root nonlinear term.