Integrable (2 + 1)-Dimensional Spin Models with Self-Consistent Potentials
AbstractIntegrable spin systems possess interesting geometrical and gauge invariance properties and have important applications in applied magnetism and nanophysics. They are also intimately connected to the nonlinear Schrödinger family of equations. In this paper, we identify three different integrable spin systems in (2 + 1) dimensions by introducing the interaction of the spin field with more than one scalar potential, or vector potential, or both. We also obtain the associated Lax pairs. We discuss various interesting reductions in (2 + 1) and (1 + 1) dimensions. We also deduce the equivalent nonlinear Schrödinger family of equations, including the (2 + 1)-dimensional version of nonlinear Schrödinger–Hirota–Maxwell–Bloch equations, along with their Lax pairs. View Full-Text
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Myrzakulov, R.; Mamyrbekova, G.; Nugmanova, G.; Lakshmanan, M. Integrable (2 + 1)-Dimensional Spin Models with Self-Consistent Potentials. Symmetry 2015, 7, 1352-1375.
Myrzakulov R, Mamyrbekova G, Nugmanova G, Lakshmanan M. Integrable (2 + 1)-Dimensional Spin Models with Self-Consistent Potentials. Symmetry. 2015; 7(3):1352-1375.Chicago/Turabian Style
Myrzakulov, Ratbay; Mamyrbekova, Galya; Nugmanova, Gulgassyl; Lakshmanan, Muthusamy. 2015. "Integrable (2 + 1)-Dimensional Spin Models with Self-Consistent Potentials." Symmetry 7, no. 3: 1352-1375.