4 papers
Invariance and first integrals of continuous and discrete Hamiltonian equations
Vladimir Dorodnitsyn, Roman Kozlov
In this paper we consider the relation between symmetries and first integrals for both continuous canonical Hamiltonian equations and discrete Hamiltonian equations. We observe tha…
Invariance and first integrals of canonical Hamiltonian equations
Vladimir Dorodnitsyn, Roman Kozlov
In this paper we consider the relation between symmetries and first integrals of canonical Hamiltonian equations. Based on a newly established identity (which is an analog of well…
Conservation laws of semidiscrete canonical Hamiltonian equations
Roman Kozlov
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 symme…
Continuous symmetries of Lagrangians and exact solutions of discrete equations
Vladimir Dorodnitsyn, Roman Kozlov, Pavel Winternitz
One of the difficulties encountered when studying physical theories in discrete space-time is that of describing the underlying continuous symmetries (like Lorentz, or Galilei inva…