On differential equations characterized by their Lie point symmetries
Copyright policy )On differential equations characterized by their Lie point symmetries
The authors study differential equations which are uniquely determined by their Lie point symmetries; they call such equations Lie remarkable. Using the jet bundle formalism a geometric characterisation of these equations is given. As two larger examples, minimal submanifold equations and Monge-Ampère equations are considered in some detail.
- University of Salento Italy
- University of Milano-Bicocca Italy
- Polytechnic University of Turin Italy
- University of Messina Italy
minimal submanifold, Applied Mathematics, Jet spaces, invariant solution, Lie symmetries of differential equations; Jet spaces, Lie point symmetry, Monge-Ampère equation, Lie symmetries of differential equations, jet spaces, Invariance and symmetry properties for PDEs on manifolds, Jet spaces; Lie symmetries of differential equations; Analysis; Applied Mathematics, Lie symmetries of differential equations, Lie remarkable equation, Analysis, Geometric theory, characteristics, transformations in context of PDEs
minimal submanifold, Applied Mathematics, Jet spaces, invariant solution, Lie symmetries of differential equations; Jet spaces, Lie point symmetry, Monge-Ampère equation, Lie symmetries of differential equations, jet spaces, Invariance and symmetry properties for PDEs on manifolds, Jet spaces; Lie symmetries of differential equations; Analysis; Applied Mathematics, Lie symmetries of differential equations, Lie remarkable equation, Analysis, Geometric theory, characteristics, transformations in context of PDEs
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