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On third order integrable vector Hamiltonian equations

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Abstract A complete list of third order vector Hamiltonian equations with the Hamiltonian operator D x having an infinite series of higher conservation laws is presented. A new vector integrable… Click to show full abstract

Abstract A complete list of third order vector Hamiltonian equations with the Hamiltonian operator D x having an infinite series of higher conservation laws is presented. A new vector integrable equation on the sphere is found.

Keywords: vector; hamiltonian equations; third order; order integrable; vector hamiltonian

Journal Title: Journal of Geometry and Physics
Year Published: 2017

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