On integrability of some bi-Hamiltonian two field systems of PDE
De Sole, Alberto · Kac, Victor G. · Turhan, Refik
Mathematical Physics
Rings and Algebras
Representation Theory
Exactly Solvable and Integrable Systems
37K10 (Primary) 35Q53, 17B80, 17B69, 37K30, 17B63 (Secondary)
Original · EN
We continue the study of integrability of bi-Hamiltonian systems with a compatible pair of local Poisson structures (H₀,H₁), where H₀ is a strongly skew-adjoint operator. This is applied to the construction of some new two field integrable systems of PDE by taking the pair (H₀,H₁) in the family of compatible Poisson structures that arose in the study of cohomology of moduli spaces of curves.
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