Add to ORKGAbstract. Following some of Lie’s ideas, we define between jet spaces canoni-cal correspondences which allow us to associate with each first order PDE system another one with a single unknown function which contains as solutions that of the original system as well as its intermediate integrals. We also show for some systems of PDE that their integration is equivalent to that of their associated ones. Subject Classification: 58A20, 35A30
We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate natura...
Abstract. First–order jet bundles can be put at the foundations of the mod-ern geometric approach to...
AbstractWe will define a new transformation of PDE systems as follows. Given a particular PDE system...
Abstract. Jets of a manifold M can be described as ideals of C1(M). This way, all the usual processe...
summary:Jets of a manifold $M$ can be described as ideals of $\mathcal {C}^\infty (M)$. This way, al...
AbstractIn this paper the theory of jets based on Weil's near points is applied to Lie equations and...
We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object call...
AbstractLet M be a manifold. A PDE system R⊆Jm1M can be prolonged to another one R⁎⊆T⁎M (Jiménez et ...
The geometric approach to the study of differential equations goes back to Sophus Lie and Elie Carta...
summary:The aim of this paper is to construct a canonical nonlinear connection $\Gamma =(M_{(\alpha ...
We establish a new version of the first Noether Theorem, according to which the (equivalence classe...
Using the language of jet spaces, for any analytic PDE E we define, in a coordinatefree way, a famil...
We characterize the set of $n$-jets admitting an extension which is a germ of a differential equatio...
Abstract. In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To...
By using a geometric framework of PDE's we prove that the set of solutions of the D'Alembert equati...
We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate natura...
Abstract. First–order jet bundles can be put at the foundations of the mod-ern geometric approach to...
AbstractWe will define a new transformation of PDE systems as follows. Given a particular PDE system...
Abstract. Jets of a manifold M can be described as ideals of C1(M). This way, all the usual processe...
summary:Jets of a manifold $M$ can be described as ideals of $\mathcal {C}^\infty (M)$. This way, al...
AbstractIn this paper the theory of jets based on Weil's near points is applied to Lie equations and...
We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object call...
AbstractLet M be a manifold. A PDE system R⊆Jm1M can be prolonged to another one R⁎⊆T⁎M (Jiménez et ...
The geometric approach to the study of differential equations goes back to Sophus Lie and Elie Carta...
summary:The aim of this paper is to construct a canonical nonlinear connection $\Gamma =(M_{(\alpha ...
We establish a new version of the first Noether Theorem, according to which the (equivalence classe...
Using the language of jet spaces, for any analytic PDE E we define, in a coordinatefree way, a famil...
We characterize the set of $n$-jets admitting an extension which is a germ of a differential equatio...
Abstract. In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To...
By using a geometric framework of PDE's we prove that the set of solutions of the D'Alembert equati...
We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate natura...
Abstract. First–order jet bundles can be put at the foundations of the mod-ern geometric approach to...
AbstractWe will define a new transformation of PDE systems as follows. Given a particular PDE system...