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On integrability of some bi-Hamiltonian two field systems of PDE

Authors :
De Sole, Alberto
Kac, Victor G.
Turhan, Refik
Source :
J. Math. Phys. 56 (2015), no. 5, 051503
Publication Year :
2014

Abstract

We continue the study of integrability of bi-Hamiltonian systems with a compatible pair of local Poisson structures (H_0,H_1), where H_0 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 (H_0,H_1) in the family of compatible Poisson structures that arose in the study of cohomology of moduli spaces of curves.<br />Comment: 30 pages

Details

Database :
arXiv
Journal :
J. Math. Phys. 56 (2015), no. 5, 051503
Publication Type :
Report
Accession number :
edsarx.1405.1349
Document Type :
Working Paper
Full Text :
https://doi.org/10.1063/1.4919542