New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation
Exactly Solvable and Integrable Systems
2018-02-13 v1 Mathematical Physics
math.MP
Abstract
We present in this report 1+1 dimensional nonlinear partial differential equation integrable through inverse scattering transform. The integrable system under consideration is a pseudo-Hermitian reduction of a matrix generalization of classical 1+1 dimensional Heisenberg ferromagnet equation. We derive recursion operators and describe the integrable hierarchy related to that matrix equation.
Keywords
Cite
@article{arxiv.1802.03591,
title = {New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation},
author = {T. I. Valchev and A. B. Yanovski},
journal= {arXiv preprint arXiv:1802.03591},
year = {2018}
}
Comments
10 pages, extended version of conference report