• SYMMGRP

  • Referenced in 115 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 well-posed differential equations ... extended to contact, Lie-Backlund 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, Lie-Backlund 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...
  • 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 point-symmetries of a given system...
  • SADE

  • Referenced in 15 articles [sw07076]
  • methods implemented are: Lie, nonclassical, Lie–Bäcklund and potential symmetries, invariant solutions, first-integrals, Nöther ... equations, order and dimension reductions using Lie symmetries, classification of differential equations, Casimir invariants ... determination of quasi-polynomial first-integrals, Lie symmetries and invariant surfaces. Examples...
  • FracSym

  • Referenced in 17 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...
  • 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...
  • 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...
  • DESOLVII

  • Referenced in 17 articles [sw06914]
  • allowing the determination of higher symmetries (contact and Lie-Bäcklund) for systems of both ordinary...
  • GLie

  • Referenced in 6 articles [sw00356]
  • problem: The construction of the Lie symmetry superalgebra of a system of Grassmann-valued 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 Grassmann-valued 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 semi-rectify algebraic...
  • DETools

  • Referenced in 4 articles [sw00198]
  • fairly general package for Lie symmetry analysis and an algebraic-geometric completion package for overdetermined...
  • LieSYMGRP

  • Referenced in 3 articles [sw13621]
  • perturbed Kuramoto-Sivashinsky 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 25 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...