Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties

DOI10.1080/14029251.2018.1452676zbMath1411.37057arXiv1709.09266OpenAlexW2758233761MaRDI QIDQ5743524

Alexandar Yanovski, Tihomir I. Valchev

Publication date: 10 May 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09266

zbMATH Keywords

recursion operatorsreductionsLax representationgauge-equivalent equations

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) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (3)

Fifth-order generalized Heisenberg supermagnetic models ⋮ Explicit solutions of some equations and systems of mathematical physics ⋮ Multicomponent nonlinear evolution equations of the Heisenberg ferromagnet type: local versus nonlocal reductions

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