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# Commands for PDEs (and ODEs)

## Category Documents

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PDEtools/CanonicalCoordinates
compute canonical coordinates for a given symmetry

PDEtools/ChangeSymmetry
perform a change of variables on the infinitesimals of a symmetry generator

PDEtools/CharacteristicQ
compute the characteristic of a point symmetry represented by its infinitesimals

PDEtools/CharacteristicQInvariants
computes the differential invariants associated to a given list of symmetries directly from their CharacteristicQ

PDEtools/ConservedCurrents
computes the conserved currents of a system of ordinary or partial differential equations (PDE)

PDEtools/ConsistencyTest
tests whether a given system of equations is or not consistent.

PDEtools/D_Dx
differentiate expressions in function or jet notation, with respect to independent or dependent (function) variables of the jet space.

PDEtools/DeterminingPDE
computes the determining PDE system satisfied by the infinitesimals of the symmetry groups, or the integrating factors or the conserved currents, admitted by a given PDE system

PDEtools/Eta_k
construct a table-procedure that computes, on request, any prolongation of the infinitesimals of a symmetry generator

PDEtools/Euler
Euler's operator - return the conditions that a DE system must satisfy in order to be the divergence of a current

PDEtools/ToJet
rewrites in jet notation a given mathematical expression

PDEtools/InfinitesimalGenerator
receives a list with the infinitesimals of a symmetry generator and returns the corresponding infinitesimal generator as a differential operator procedure

PDEtools/Infinitesimals
compute the infinitesimals of symmetry groups admitted by a given PDE system

PDEtools/IntegratingFactors
computes generalized integrating factors for a system of differential equations (DE)

PDEtools/InvariantEquation
computes the differential equation invariant under a given symmetry group

PDEtools/InvariantSolutions
computes the group invariant (symmetry) solutions for a given PDE system

PDEtools/InvariantTransformation
computes transformations reducing by k the number of independent variables of PDE systems admitting a given k-dimensional symmetry group

PDEtools/Invariants
computes the differential invariants associated to a given list of symmetries

PDEtools/PolynomialSolutions
computes polynomial solutions for (differential or not) system of equations.

PDEtools/ReducedForm
reduces one given PDE system with respect to another given PDE system

PDEtools/SimilaritySolutions
computes the group invariant (point symmetry) solutions for a given PDE system

PDEtools/SimilarityTransformation
computes a transformation reducing by one the number of independent variables of PDE systems possessing a given symmetry

PDEtools/SymmetrySolutions
computes the group invariant (point symmetry) solutions for a given PDE system

PDEtools/SymmetryTest
tests whether a given list of infinitesimals represents a symmetry of a given PDE system.

PDEtools/SymmetryTransformation
computes the finite form of the (symmetry) transformation leaving invariant any PDE system admitting a given symmetry

PDEtools
Overview of the PDEtools Package

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