منابع مشابه
Noether Symmetries and Critical Exponents
We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.
متن کاملNoether Theorem for Μ-symmetries
We give a version of Noether theorem adapted to the framework of μ-symmetries; this extends to such case recent work by Muriel, Romero and Olver in the framework of λ-symmetries, and connects μ-symmetries of a Lagrangian to a suitably modified conservation law. In some cases this “μconservation law” actually reduces to a standard one; we also note a relation between μ-symmetries and conditional...
متن کاملReduction of Differential Equations by Lie Algebra of Symmetries
The paper is devoted to an application of Lie group theory to differential equations. The basic infinitesimal method for calculating symmetry group is presented, and used to determine general symmetry group of some differential equations. We include a number of important applications including integration of ordinary differential equations and finding some solutions of partial differential equa...
متن کاملC∞−Symmetries and Reduction of Equations Without Lie Point Symmetries
It is proved that several usual methods of reduction for ordinary differential equations, that do not come from the Lie theory, are derived from the existence of C∞ -symmetries. This kind of symmetries is also applied to obtain two successive reductions of an equation that lacks Lie point symmetries but is a reduced equation of another one with a three dimensional Lie algebra of point symmetrie...
متن کاملSegre varieties and Lie symmetries
We show that biholomorphic automorphisms of a real analytic hypersurface in I C can be considered as (pointwise) Lie symmetries of a holomorphic completely overdetermined involutive second order PDE system defining its Segre family. Using the classical S.Lie method we obtain a complete description of infinitesimal symmetries of such a system and give a new proof of some well known results of CR...
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ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2012
ISSN: 1452-8630,2406-100X
DOI: 10.2298/aadm120625015l