Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schrödinger equation

DOI10.1142/S0219887817501365zbMath1375.35505arXiv1608.08553OpenAlexW2964073978MaRDI QIDQ5370549

Akbota Myrzakul, Ratbay Myrzakulov

Publication date: 20 October 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08553

zbMATH Keywords

integrable systemsnonlinear Schrödinger equationsolitonscurvesfilament equationspin systemsgeometric flowsHeisenberg ferromagnetic equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Curves in Euclidean and related spaces (53A04) Statistical mechanics of magnetic materials (82D40) PDEs in connection with statistical mechanics (35Q82)

Related Items (7)

Fifth-order generalized Heisenberg supermagnetic models ⋮ On the higher-order inhomogeneous Heisenberg supermagnetic models ⋮ Coupled dispersionless and generalized Heisenberg ferromagnet equations with self-consistent sources: Geometry and equivalence ⋮ On the higher order Heisenberg supermagnet model in (2+1)-dimensions ⋮ Integrable motion of two interacting curves, spin systems and the Manakov system ⋮ On equivalence of one spin system and two-component Camassa-Holm equation ⋮ Notes on integrable motion of two interacting curves and two-layer generalized Heisenberg ferromagnet equations

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