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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… Click to show full 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:
associativity equation;
oriented associativity;
structure oriented;
hamiltonian structure;
equation
Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019
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Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!