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Bi-Hamiltonian structure of the Oriented Associativity Equation

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 نشر من قبل Raffaele Vitolo
 تاريخ النشر 2018
  مجال البحث فيزياء
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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 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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