Lin, T.C., Belić, M.R., Petrović, M.S., Hajaiej, H. and Chen, G. (2017) The Virial Theorem and Ground State Energy Estimates of Nonlinear Schrödinger Equations in with Square Root and Saturable Nonlinearities in Nonlinear Optics. Calculus of Variations and Partial Differential Equations, 56, Article No. 147.
https://doi.org/10.1007/s00526-017-1251-4

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.