Notes on integrable motion of two interacting curves and two-layer generalized Heisenberg ferromagnet equations

DOI10.1007/978-3-030-34072-8_5zbMath1445.37049arXiv1811.12216OpenAlexW2903556359MaRDI QIDQ3294703

Gulgassyl Nugmanova, Zhaidary Myrzakulova, Ratbay Myrzakulov

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12216

zbMATH Keywords

gauge equivalencetwo-layer spin systemtwo interacting curves

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Cites Work

• Unnamed Item
• Unnamed Item
• Geometry and multidimensional soliton equations
• A \((2+1)\)-dimensional integrable spin model: geometrical and gauge equivalent counterpart, solitons and localized coherent structures.
• Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials
• Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schrödinger equation
• Integrable motion of two interacting curves, spin systems and the Manakov system
• Integrable motion of curves in self-consistent potentials: relation to spin systems and soliton equations

This page was built for publication: Notes on integrable motion of two interacting curves and two-layer generalized Heisenberg ferromagnet equations