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).
|Titolo:||Classiﬁcation problems for Hamiltonian evolutionary equations and their discretizations|
|Data di pubblicazione:||25-ott-2012|
|Appare nelle tipologie:||8.1 PhD thesis|