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arXiv · 2306.09709

Poisson vertex algebras and Hamiltonian PDE

Alberto De Sole·Victor G. Kac·Daniele Valeri
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Abstract

We discuss the theory of Poisson vertex algebras and their generalizations in relation to integrability of Hamiltonian PDE. In particular, we discuss the theory of affine classical W-algebras and apply it to construct a large class of integrable Hamiltonian PDE. We also discuss non commutative Hamiltonian PDE in the framework of double PVA, and differential-difference Hamiltonian equations in the framework of multiplicative PVA.

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Alberto De Sole, Victor G. Kac, Daniele Valeri. 2023-07-11. Poisson vertex algebras and Hamiltonian PDE. https://arxiv.org/abs/2306.09709

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