Spin generalizations of the Benjamin-Ono equation
Abstract
We present new soliton equations related to the -type spin Calogero-Moser (CM) systems introduced by Gibbons and Hermsen. These equations are spin generalizations of the Benjamin-Ono (BO) equation and the recently introduced non-chiral intermediate long-wave (ncILW) equation. We obtain multi-soliton solutions of these spin generalizations of the BO equation and the ncILW equation via a spin-pole ansatz where the spin-pole dynamics is governed by the spin CM system in the rational and hyperbolic cases, respectively. We also propose physics applications of the new equations, and we introduce a spin generalization of the standard intermediate long-wave equation which interpolates between the matrix Korteweg-de Vries equation, the Heisenberg ferromagnet equation, and the spin BO equation.
Cite
@article{arxiv.2201.07269,
title = {Spin generalizations of the Benjamin-Ono equation},
author = {Bjorn K. Berntson and Edwin Langmann and Jonatan Lenells},
journal= {arXiv preprint arXiv:2201.07269},
year = {2022}
}
Comments
34 pages