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Integrability structures of the $(2+1)$-dimensional Euler equation

Published 16 Jan 2025 in nlin.SI | (2501.10475v2)

Abstract: We construct local and nonlocal Hamiltonian structures and variational symplectic structures for the $(2+1)$-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.

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