Vortex solitons for 2D focusing nonlinear Schrödinger equation.
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Publication:976605
zbMath1212.35455MaRDI QIDQ976605
Publication date: 15 June 2010
Published in: Differential and Integral Equations (Search for Journal in Brave)
Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
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Existence of vortices for Schrödinger equations with logarithmic and saturable nonlinearity ⋮ Stability of nonlinear waves and patterns and related topics ⋮ On the vortices for the nonlinear Schrödinger equation in higher dimensions ⋮ On the cubic and cubic-quintic optical vortices equations ⋮ Vortex states of Bose-Einstein condensates with attractive interactions ⋮ Decay of solitary waves of fractional Korteweg-de Vries type equations ⋮ Self-bound vortex states in nonlinear Schrödinger equations with LHY correction ⋮ The focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superposition ⋮ Spectral stability analysis for special solutions of second order in time PDEs: the higher-dimensional case ⋮ Vortex solutions in two-dimensional Bose–Einstein condensates with attraction ⋮ Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time ⋮ On orbital instability of spectrally stable vortices of the NLS in the plane ⋮ High-speed excited multi-solitons in nonlinear Schrödinger equations ⋮ Numerical computation of solitons for optical systems ⋮ Theory of singular vortex solutions of the nonlinear Schrödinger equation ⋮ On instability of excited states of the nonlinear Schrödinger equation
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