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There are many evolution partial differential equations which can be castinto Hamiltonian form. Conservation laws of these equations are related toone-parameter Hamiltonian symmetries admitted by the PDEs. The same resultholds for semidiscrete Hamiltonian equations. In this paper we considersemidiscrete canonical Hamiltonian equations. Using symmetries, we findconservation laws for the semidiscretized nonlinear wave equation andSchrodinger equation.Comment: 19 pages, 2 table

Conservation laws of semidiscrete canonical Hamiltonian equations