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Integrable systems of the intermediate long wave type in 2+1 dimensions

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posted on 2022-04-21, 15:39 authored by Ben Gormley, Evgeny FerapontovEvgeny Ferapontov, Vladimir NovikovVladimir Novikov, Maxim Pavlov

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).

Funding

Russian Science Foundation No. 21-11-00006, https://rscf.ru/project/21-11-00006/

A novel approach to integrability of semi-discrete systems

Engineering and Physical Sciences Research Council

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History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physica D: Nonlinear Phenomena

Volume

435

Publisher

Elsevier

Version

  • VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by Elsevier under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

2022-03-02

Publication date

2022-04-20

Copyright date

2022

ISSN

0167-2789

Language

  • en

Depositor

Prof Evgeny Ferapontov. Deposit date: 6 March 2022

Article number

133310

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