Conservation laws of semidiscrete canonical Hamiltonian equations
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
There are many evolution partial differential equations which can be cast into Hamiltonian form. Conservation laws of these equations are related to one-parameter Hamiltonian symmetries admitted by the PDEs. The same result holds for semidiscrete Hamiltonian equations. In this paper we consider semidiscrete canonical Hamiltonian equations. Using symmetries, we find conservation laws for the semidiscretized nonlinear wave equation and Schrodinger equation.
Cite
@article{arxiv.math-ph/0402069,
title = {Conservation laws of semidiscrete canonical Hamiltonian equations},
author = {Roman Kozlov},
journal= {arXiv preprint arXiv:math-ph/0402069},
year = {2009}
}
Comments
19 pages, 2 tables