A Generic Nonlinear Evolution Equation of Magnetic Type I. Reductions
Exactly Solvable and Integrable Systems
2023-02-14 v1 Mathematical Physics
math.MP
Abstract
The present preprint is dedicated to a nonlinear evolution equation that generalizes the classical Heisenberg ferromagnet equation in certain way. That generalization is completely integrable and has a linear bundle Lax pair in pole gauge related to the special linear algebra. A few reductions of the generic matrix equation are considered.
Keywords
Cite
@article{arxiv.2302.05551,
title = {A Generic Nonlinear Evolution Equation of Magnetic Type I. Reductions},
author = {Tihomir Valchev},
journal= {arXiv preprint arXiv:2302.05551},
year = {2023}
}
Comments
12 pages