On integrability of some bi-Hamiltonian two field systems of PDE
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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.