Bi-Hamiltonian structure of the Oriented Associativity Equation
Mathematical Physics
2019-05-16 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1812.01413,
title = {Bi-Hamiltonian structure of the Oriented Associativity Equation},
author = {M. V. Pavlov and R. F. Vitolo},
journal= {arXiv preprint arXiv:1812.01413},
year = {2019}
}
Comments
15 pages; software is available upon request