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Skryabin, D.V. and Firth, W.J. (1998) Dynamics of Self-Trapped Beams with Phase Dislocation in Saturable Kerr and Quadratic Nonlinear Media. Physical Review E, 58, 3916-3930.
https://doi.org/10.1103/PhysRevE.58.3916

has been cited by the following article:

• 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.