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Generalized Solvable Structures Associated to Symmetry Algebras Isomorphic to ,dinary differential equations that are invariant under the action of .. In this work it is proved the existence of a generalized solvable structure for the vector field associated with a fifth-order equation admitting a Lie symmetry algebra isomorphic to .. As a consequence, the integrability of the

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A Geometric Framework to Compare PDEs and Classical Field Theories,f smooth manifolds. In particular, it can be used to compare those aspects of field theories (e.g. of classical (Newtonian) mechanics, hydrodynamics, electrodynamics, relativity theory, classical Yang-Mills theory and so on) that are described by such equations..Employing a geometric (jet space) app

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Groups, Invariants, Integrals, and Mathematical Physics

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