Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials

DOI10.3390/sym7031352zbMath1376.82108arXiv1305.0098OpenAlexW2164454130MaRDI QIDQ2406229

Gulgassyl Nugmanova, Galya Mamyrbekova, Ratbay Myrzakulov, Muthusamy Lakshmanan

Publication date: 27 September 2017

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0098

zbMATH Keywords

integrable systemssolitonsnonlinear Schrödinger equationsgauge equivalencespin systemsLax representationsHeisenberg ferromagnet equationnonlinear Schrödinger-Maxwell-Bloch equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of magnetic materials (82D40) Statistical mechanics of nanostructures and nanoparticles (82D80)

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