Multicomponent nonlinear evolution equations of the Heisenberg ferromagnet type: local versus nonlocal reductions
From MaRDI portal
Publication:1980331
DOI10.7546/GIQ-22-2021-274-285zbMath1486.35382arXiv2011.13437OpenAlexW3162443898MaRDI QIDQ1980331
Publication date: 3 September 2021
Full work available at URL: https://arxiv.org/abs/2011.13437
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Statistical mechanics of magnetic materials (82D40) PDEs in connection with statistical mechanics (35Q82) Systems of nonlinear higher-order PDEs (35G50)
Cites Work
- Unnamed Item
- On Mikhailov's reduction group
- The reduction problem and the inverse scattering method
- Nonlinear Schrödinger equations and simple Lie algebras
- A \((2+1)\)-dimensional integrable spin model: geometrical and gauge equivalent counterpart, solitons and localized coherent structures.
- Integrable nonlocal reductions
- The \(N\)-wave equations with \(\mathcal{PT}\) symmetry
- Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
- Reductions of integrable equations onA.III-type symmetric spaces
- New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation
- Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties
- Multicomponent generalization of the hierarchy of the Landau-Lifshits equation
This page was built for publication: Multicomponent nonlinear evolution equations of the Heisenberg ferromagnet type: local versus nonlocal reductions