The gauge equivalence of the NLS and the Schrödinger flow of maps in 2 + 1 dimensions

DOI10.1088/0305-4470/32/27/308zbMath0941.35104OpenAlexW2070195023MaRDI QIDQ4947656

Qing Ding

Publication date: 25 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/32/27/308

zbMATH Keywords

nonlinear Schrödinger equationHeisenberg ferromagnet model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Schrödinger flows, binormal motion for curves and the second AKNS-hierarchies ⋮ Self-similar solutions for the 1D Schrödinger map on the hyperbolic plane ⋮ Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability ⋮ Integrable decomposition for the (2+1)-dimensional AKNS hierarchy and its applications ⋮ Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system ⋮ MOTION OF SPACE CURVES IN THREE-DIMENSIONAL MINKOWSKI SPACE $R_1^{3}$, SO(2,1) SPIN EQUATION AND DEFOCUSING NONLINEAR SCHRÖDINGER EQUATION ⋮ On the gauge equivalent structure of the discrete nonlinear Schrödinger equation

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