Integrable systems of the intermediate long wave type in 2+1 dimensions
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).
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 CouncilFind out more...
- Mathematical Sciences
Published inPhysica D: Nonlinear Phenomena
- VoR (Version of Record)
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Publisher statementThis 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/