Integrability structures of the $(2+1)$-dimensional Euler equation
Exactly Solvable and Integrable Systems
2025-04-22 v2
Abstract
We construct local and nonlocal Hamiltonian structures and variational symplectic structures for the -dimensional Euler equation in the vorticity form and study the action of the local Hamiltonian and symplectic structures on the cosymmetries of second order and the contact symmetries.
Cite
@article{arxiv.2501.10475,
title = {Integrability structures of the $(2+1)$-dimensional Euler equation},
author = {I. S. Krasil'shchik and O. I. Morozov},
journal= {arXiv preprint arXiv:2501.10475},
year = {2025}
}