Conservation laws of semidiscrete canonical Hamiltonian equations

Details Conservation laws of semidiscrete canonical Hamiltonian equations Conservation laws of semidiscrete canonical Hamiltonian equations

2004-02-25

arxiv.org/abs/math-ph/0402069v1

J. Phys. A 34 (2001), no. 17, 3651-3669

Physics

Mathematical Physics

19 pages, 2 tables

Scientific paper

10.1088/0305-4470/34/17/307

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.

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