… developments in symmetry methods (group methods) for differential equations as … the
methods to nonlinear differential equations. Symmetry methods for differential equations, originally …

… Lie symmetry analysis of differential equations provides a … the order) of ordinary differential
equations, to the determination … of links between different differential equations that turn out to …

… difference equations. We show that the mismatch between continuous symmetries and discrete
equations … to use generalized symmetries acting on solutions of difference equations, but …

… The topic of this article is the symmetry analysis of differential equations and the applica…
or partial differential equations are considered. We show how a symmetry may be applied to …

… between the symmetry vectors and the first integrals of systems of differential equations. …
the number of independent pointlike symmetry vectors of differential equations of the form …

… J m ( M ) , then a symmetry of the differential equation is a vector field leaving G invariant.
The main reason for studying the symmetries of a system of differential equations is to find first …

… 1.2 Symmetries and First Integrals of Finite-… differential equations in the spirit of elementary
differential algebra. In this approach the derivations associated with differential equations …

… Most of the material in this book did not appear in Symmetries and Differential Equations [(1989);
reprinted with corrections (1996)], by George W. Bluman and Sukeyuki Kumei, and …

… symmetries stems from the procedure of solving … equations using variational differentiation.
The set of symmetries obtained comprises symmetries for the Vlasov–Maxwell equations of …

… They are fairly easy to master and provide the user with a powerful range of tools for studying
new equations. I believe that no one who works with differential equations can afford to be …