Chern-Simons structure of solitons in the model of the discrete \((2+1)\)D nonlinear Schrödinger equation

DOI10.1016/S0167-2789(01)00209-3zbMath0984.81036OpenAlexW2073848126MaRDI QIDQ5940246

A. P. Protogenov, L. A. Abramyan, V. A. Verbus

Publication date: 20 September 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00209-3

zbMATH Keywords

\((2+1)\)D latticeChern-Simons correlationsexcitation world lineslocalized field configurations

Mathematics Subject Classification ID

Model quantum field theories (81T10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Cites Work

• Unnamed Item
• Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Nonrelativistic Cherns-Simons theory for the repulsive Bose gas
• Collapse of Chern-Simons–Gauged Matter Fields
• Painlevé analysis and integrability properties of a 2+1 nonrelativistic field theory

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