Hasimoto variables, generalized vortex filament equations, Heisenberg models and Schrödinger maps arising from group-invariant NLS systems

DOI10.1016/j.geomphys.2019.06.010zbMath1428.35478arXiv1901.01879OpenAlexW2906787102MaRDI QIDQ2274441

Esmaeel Asadi, Stephen C. Anco

Publication date: 19 September 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01879

zbMATH Keywords

integrable systemsvortex filament equationisospectral flowSchrödinger mapHeisenberg spin modelgeometric curve flow

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Hasimoto maps for nonlinear Schrödinger equations in Minkowski space ⋮ Vortex filament flows for curves in a 3-dimensional pseudo-Riemannian manifold ⋮ Nonlocal U(1)-invariant nonlinear Schrödinger system from geometric non-stretching curve flow in G2/SO(4)

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