The package LIEPDE computes infinitesimal symmetries of differential equations (DEs). These can be point-, contact and generalized higher order symmetries. The overdetermined system of symmetry conditions is solved by the program CRACK. Flags allow the formulation and solution of the symmetry conditions in successive stages to lower the overall memory and time requirements. A parameter allows the computation of the prolongation of the symmetry vector up to some given order.

References in zbMATH (referenced in 26 articles )

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  1. Kontogiorgis, Stavros; Sophocleous, Christodoulos: On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations (2017)
  2. Anco, S.C.; Avdonina, E.D.; Gainetdinova, A.; Galiakberova, L.R.; Ibragimov, N.H.; Wolf, T.: Symmetries and conservation laws of the generalized Krichever-Novikov equation (2016)
  3. Cheviakov, Alexei F.: Symbolic computation of nonlocal symmetries and nonlocal conservation laws of partial differential equations using the GeM package for Maple (2014)
  4. Vu, K.T.; Jefferson, G.F.; Carminati, J.: Finding higher symmetries of differential equations using the MAPLE package DESOLVII (2012)
  5. Rocha Filho, Tarcísio M.; Figueiredo, Annibal: [SADE] a Maple package for the symmetry analysis of differential equations (2011)
  6. Bluman, G.; Broadbridge, P.; King, J.R.; Ward, M.J.: Similarity: Generalizations, applications and open problems (2010)
  7. Bluman, George W.; Cheviakov, Alexei; Anco, Stephen: Applications of symmetry methods to partial differential equations (2010)
  8. Cheviakov, Alexei F.: Computation of fluxes of conservation laws (2010)
  9. Ivanova, N.M.; Popovych, R.O.; Sophocleous, C.: Group analysis of variable coefficient diffusion-convection equations. I: Enhanced group classification (2010)
  10. Bokhari, Ashfaque H.; Kara, A.H.; Karim, M.; Zaman, F.D.: Invariance analysis and variational conservation laws for the wave equation on some manifolds (2009)
  11. Bluman, G.; Cheviakov, A.F.; Ganghoffer, J.-F.: Nonlocally related PDE systems for one-dimensional nonlinear elastodynamics (2008)
  12. Anco, Stephen C.; Ivanova, Nataliya M.: Conservation laws and symmetries of semilinear radial wave equations (2007)
  13. Bokhari, Ashfaque H.; Kara, A.H.: Noether versus Killing symmetry of conformally flat Friedmann metric (2007)
  14. Bokhari, Ashfaque H.; Kara, A.H.; Kashif, A.R.; Zaman, F.D.: On the symmetry structures of the Minkowski metric and a Weyl re-scaled metric (2007)
  15. Vu, K.T.; Butcher, J.; Carminati, J.: Similarity solutions of partial differential equations using DESOLV (2007)
  16. Butcher, J.; Carminati, J.; Vu, K.T.: A comparative study of some computer algebra packages which determine the Lie point symmetries of differential equations (2003)
  17. Grabmeier, Johannes (ed.); Kaltofen, Erich (ed.); Weispfenning, Volker (ed.): Computer algebra handbook. Foundations, applications, systems. With CD-ROM, demo versions (2003)
  18. Sokolov, V.V.; Wolf, Thomas: A symmetry test for quasilinear coupled systems (1999)
  19. Hereman, W.: Review of symbolic software for Lie symmetry analysis (1997)
  20. Wolf, T.; Brand, A.: Examples of the investigation of differential equations with modularized programs (1997)

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