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.
On integrability of some bi-Hamiltonian two field systems of partial differential equations / DE SOLE, Alberto; V., Kac; R., Turhan. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 56:5(2015), pp. 051503-051522. [10.1063/1.4919542]
On integrability of some bi-Hamiltonian two field systems of partial differential equations
DE SOLE, ALBERTO
;
2015
Abstract
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.| File | Dimensione | Formato | |
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