On integrability of some bi-Hamiltonian two field systems of PDE
Mathematical Physics
2015-12-18 v1 math.MP
Rings and Algebras
Representation Theory
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1405.1349,
title = {On integrability of some bi-Hamiltonian two field systems of PDE},
author = {Alberto De Sole and Victor G. Kac and Refik Turhan},
journal= {arXiv preprint arXiv:1405.1349},
year = {2015}
}
Comments
30 pages