Integrable systems of the intermediate long wave type in 2+1 dimensions
Exactly Solvable and Integrable Systems
2022-05-18 v1 Mathematical Physics
math.MP
Abstract
We classify 2+1 dimensional integrable systems with nonlocality of the intermediate long wave type. Links to the 2+1 dimensional waterbag system are established. Dimensional reductions of integrable systems constructed in this paper provide dispersive regularisations of hydrodynamic equations governing propagation of long nonlinear waves in a shear flow with piecewise linear velocity profile (for special values of vorticities).
Cite
@article{arxiv.2106.09602,
title = {Integrable systems of the intermediate long wave type in 2+1 dimensions},
author = {B. Gormley and E. V. Ferapontov and V. S. Novikov and M. V. Pavlov},
journal= {arXiv preprint arXiv:2106.09602},
year = {2022}
}
Comments
15 pages