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A transformation of PDE systems related to the Drach theorem
Authors:RJ Alonso-Blanco
Institution:Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, E-37008 Salamanca, Spain
Abstract:We will define a new transformation of PDE systems as follows. Given a particular PDE system View the MathML source, there is a new system View the MathML source whose solutions are the spaces of elements attached to the solutions of View the MathML source. We will show that the system View the MathML source is a second order PDE system in a single unknown. As an application, we will derive as well a global version of the Drach theorem.
Keywords:PDE systems  Transformation  Contact element  Jet  Symplectic manifold  Lagrangian submanifold
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