Regularization and control of self-focusing in the 2D cubic Schrödinger equation by attractive linear potentials

DOI10.1016/S0167-2789(03)00222-7zbMath1038.35120OpenAlexW2157856447MaRDI QIDQ1407930

Brenton J. LeMesurier, Peter Leth Christiansen

Publication date: 21 September 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(03)00222-7

zbMATH Keywords

cubic Schrödinger equationBose-Einstein condensatescritical dimensioncollapse inhibition

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (1)

Stability of two-dimensional, controlled, Bose-Einstein coherent states

Cites Work

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• Blow-up in Nonlinear Schroedinger Equations-I A General Review
• Spatial Structure of the Focusing Singularity of the Nonlinear Schrödinger Equation: A Geometrical Analysis
• Multi-focusing and sustained dissipation in the dissipative nonlinear Schrödinger equation

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