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arXiv · 1812.01413

Bi-Hamiltonian structure of the Oriented Associativity Equation

M. V. Pavlov·R. F. Vitolo
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Abstract

The Oriented Associativity equation plays a fundamental role in the theory of Integrable Systems. In this paper we prove that the equation, besides being Hamiltonian with respect to a first-order Hamiltonian operator, has a third-order non-local homogeneous Hamiltonian operator belonging to a class which has been recently studied, thus providing a highly non-trivial example in that class and showing intriguing connections with algebraic geometry.

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M. V. Pavlov, R. F. Vitolo. 2018-12-04. Bi-Hamiltonian structure of the Oriented Associativity Equation. https://doi.org/10.1088/1751-8121/ab15f4

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