
SYMMGRP
 Referenced in 118 articles
[sw01066]
 SYMMGRP.MAX and other symbolic programs for Lie symmetry analysis of partial differential equations symmgrp.max ... Macsyma program for the calculation of Lie point symmetries of large systems of differential equations...

LIE
 Referenced in 80 articles
[sw09264]
 version was for classical Lie analysis, finding the point symmetries of wellposed differential equations ... extended to contact, LieBacklund and nonclassical symmetries. Memory utilization has been improved...

SYMMGRP.MAX
 Referenced in 71 articles
[sw10756]
 computer calculation of Lie point symmetries of large systems of differential equations. Solution method...

DIMSYM
 Referenced in 72 articles
[sw04279]
 equations and the type of symmetry to be found (Lie point, LieBacklund or some ... equations for the generator of the generic symmetry). It proceeds to solve these equations, reporting ... Finally, Dimsym gives the generators of the symmetry group (which may of course be infinite ... program allows the user to compute Lie brackets, vector derivatives...

FracSym
 Referenced in 23 articles
[sw16769]
 FracSym: automated symbolic computation of Lie symmetries of fractional differential equations. In this paper ... algorithm for the systematic calculation of Lie point symmetries for fractional order differential equations (FDEs...

LIE0
 Referenced in 17 articles
[sw16625]
 REDUCE package for determining Lie symmetries of ordinary and partial differential equations. Program title: LIE0 ... LIE2, LIE3, LIE4. Nature of problem: Lie symmetries of differential equations play an important role ... physical meaning. To know all Lie symmetries for a given problem is therefore of utmost...

SPDE
 Referenced in 39 articles
[sw16714]
 applied to determine the symmetry group of Lie or pointsymmetries of a given system...

SADE
 Referenced in 18 articles
[sw07076]
 methods implemented are: Lie, nonclassical, Lie–Bäcklund and potential symmetries, invariant solutions, firstintegrals, Nöther ... equations, order and dimension reductions using Lie symmetries, classification of differential equations, Casimir invariants ... determination of quasipolynomial firstintegrals, Lie symmetries and invariant surfaces. Examples...

YaLie
 Referenced in 10 articles
[sw15000]
 another Lie mathematica package for Lie symmetries. Lie group techniques provide a method to obtain ... efficiently calculate the determining equations for Lie symmetries. The YaLie.ps archive is a short guide...

LIE
 Referenced in 7 articles
[sw11846]
 program for determining point and contact Lie symmetries of differential equations. Point and contact symmetries ... mathematical physics. Knowledge of all Lie symmetry transformations gives important information about the given differential ... program for the calculation of the Lie symmetry transformations is given...

SYMMAN
 Referenced in 9 articles
[sw01060]
 special “Mathematical” package for obtaining conditional symmetries of the nonlinear wave equation ... partially invariant under its classical Lie symmetry...

DESOLVII
 Referenced in 20 articles
[sw06914]
 allowing the determination of higher symmetries (contact and LieBäcklund) for systems of both ordinary...

ODEtools
 Referenced in 11 articles
[sw09257]
 algebra solving of first order ODEs using symmetry methods. A Maple V R.3/4 computer algebra ... order ordinary differential equations (ODEs) using Lie group symmetry methods is presented...

GLie
 Referenced in 6 articles
[sw00356]
 problem: The construction of the Lie symmetry superalgebra of a system of Grassmannvalued differential ... next step would be the use of symmetry reduction method to get a simpler system ... Solution method: The algorithm to calculate the Lie supersymmetries for Grassmannvalued differential equations...

LieSymm
 Referenced in 4 articles
[sw12188]
 Finding Lie symmetries of partial differential equations with MATHEMATICA ® : Applications to nonlinear fiber optics ... Mathematica ® package for finding Lie symmetries of partial differential equations is presented. The package ... applied to perform a full Lie group analysis of basic models of nonlinear fiber optics...

MABSys
 Referenced in 4 articles
[sw13398]
 differential systems using scaling type Lie point symmetries with linear algebra ... present two new algorithms based on Lie symmetries that respectively allow to semirectify algebraic...

DETools
 Referenced in 4 articles
[sw00198]
 fairly general package for Lie symmetry analysis and an algebraicgeometric completion package for overdetermined...

LieSYMGRP
 Referenced in 3 articles
[sw13621]
 perturbed KuramotoSivashinsky equation. Starting from Lie symmetry theory and combining with an approximate symmetry...

Exterior
 Referenced in 3 articles
[sw22625]
 allows the user to compute Lie symmetries of systems of differential equations with relative easy...

xTensor
 Referenced in 27 articles
[sw04984]
 Relativity. It works with tensors with arbitrary symmetries under permutations of indices, defined on several ... products of them. It computes covariant derivatives, Lie derivatives and parametric derivatives. It allows ... list of indices under permutation symmetry groups...