Odd-Symplectic group in First order PDE

Details Odd-Symplectic group in First order PDE Odd-Symplectic group in First order PDE

2002-10-04

arxiv.org/abs/math/0210062v1

Int. Jou. of Pure and Applied Mathematics 2003 Vol. 6 N. 2, pages 203-216

Mathematics

Symplectic Geometry

8 pages, no figure

Scientific paper

It is shown that the characteristic vector field associated to a first order
PDE has the same form of an infinitesimal generator of an odd-symplectic
transformation with contact Hamiltonian the given PDE. It is considered under
which condition such PDE has a characteristic vector field commuting with a
generator of an odd-symplectic action.

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