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title:

Applications of Lie groups to differential equations

authors:

P. J. Olver

year:

1986

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Pages mentioning this page

solvable Lie algebra

symmetry group of a DE system

Lie derivative of forms

exponential map

Hamiltonian equations

Poisson bracket

Poisson manifold

classical Hamiltonian system

conservation law

continuity equation

differential function

equivalent Lagrangians

evolution equation

evolutionary vector field

symplectic form

symplectic manifold

variational derivative

variational problem

variational symmetry

formulas for Lie derivative, exterior derivatives, bracket, interior product

Noether's theorem

Pfaff-Darboux theorem