Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems
Mathematical Physics
2020-10-27 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We present a non-chiral version of the Intermediate Long Wave (ILW) equation that can model nonlinear waves propagating on two opposite edges of a quantum Hall system, taking into account inter-edge interactions. We obtain exact soliton solutions governed by the hyperbolic Calogero-Moser-Sutherland (CMS) model, and we give a Lax pair, a Hirota form, and conservation laws for this new equation. We also present a periodic non-chiral ILW equation, together with its soliton solutions governed by the elliptic CMS model.
Cite
@article{arxiv.2001.04462,
title = {Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems},
author = {Bjorn K. Berntson and Edwin Langmann and Jonatan Lenells},
journal= {arXiv preprint arXiv:2001.04462},
year = {2020}
}
Comments
15 pages, 4 figures