Hierarchy of soliton solutions to the gauged nonlinear Schroedinger equation on the plane

Journal Article · Mon Dec 24 04:00:00 EST 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.65.3230· OSTI ID:5829833

Grossman, B ^[1]

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1. The School of Natural Sciences, The Institute for Advanced Study, Princeton, NJ (USA) Lawrence Livermore National Laboratory, University of California, Livermore, CA (USA)

We find static, self-dual solutions to the SU({ital N}) gauged, nonlinear Schroedinger equation in two spatial dimensions with scalar matter in the adjoint representation. The gauge field is determined dynamically by the Chern-Simons interaction with nonrelativistic scalar matter. The hierarchy is associated with the Toda hierarchy, which can be solved explicitly. The {ital N}=2 case reduces to the Liouville equation found by Jackiw and Pi, when looking at the nonlinear Schroedinger equation gauged by U(1).

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5829833
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 65:26; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
EQUATIONS
LIE GROUPS
MATHEMATICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
SU GROUPS
SYMMETRY GROUPS
TOPOLOGY
WAVE EQUATIONS