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Download fileIntegrable systems of the intermediate long wave type in 2+1 dimensions
journal contribution
posted on 2022-04-21, 15:39 authored by Ben Gormley, Evgeny FerapontovEvgeny Ferapontov, Vladimir NovikovVladimir Novikov, Maxim PavlovWe 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
Find out more...History
School
- Science
Department
- Mathematical Sciences
Published in
Physica D: Nonlinear PhenomenaVolume
435Publisher
ElsevierVersion
- VoR (Version of Record)
Rights holder
© The AuthorsPublisher 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
2022-03-02Publication date
2022-04-20Copyright date
2022ISSN
0167-2789Publisher version
Language
- en
