A transformation of PDE systems related to the Drach theorem |
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| Authors: | RJ Alonso-Blanco |
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| Institution: | Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, E-37008 Salamanca, Spain |
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| Abstract: | We will define a new transformation of PDE systems as follows. Given a particular PDE system  , there is a new system  whose solutions are the spaces of elements attached to the solutions of  . We will show that the system  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. |
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| Keywords: | PDE systems Transformation Contact element Jet Symplectic manifold Lagrangian submanifold |
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