In the present Thesis, we deal mainly with the subclass of Hamiltonian evolutionary PDEs and their Poisson brackets (PBs). We address the problem of classifying discrete differential-geometric PBs (dDGPBs) of any fixed order on target space of dimension 1 and describing their compatible pencils. Furthermore, we explain a new criterium about the existence of tri-Hamiltonian structures for nonlinear wave systems.
Classification problems for Hamiltonian evolutionary equations and their discretizations / Parodi, Emanuele. - (2012 Oct 25).
Classification problems for Hamiltonian evolutionary equations and their discretizations
Parodi, Emanuele
2012-10-25
Abstract
In the present Thesis, we deal mainly with the subclass of Hamiltonian evolutionary PDEs and their Poisson brackets (PBs). We address the problem of classifying discrete differential-geometric PBs (dDGPBs) of any fixed order on target space of dimension 1 and describing their compatible pencils. Furthermore, we explain a new criterium about the existence of tri-Hamiltonian structures for nonlinear wave systems.File in questo prodotto:
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