A REDUCE package for determining Lie symmetries of ordinary and partial differential equations. Program title: LIE0, LIE1, LIE2, LIE3, LIE4. Nature of problem: Lie symmetries of differential equations play an important role in all branches of physics. Usually they have a physical meaning. To know all Lie symmetries for a given problem is therefore of utmost importance because it usually leads to additional physical insight.

References in zbMATH (referenced in 17 articles )

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  1. Sinkala, W.: Two ways to solve, using Lie group analysis, the fundamental valuation equation in the double-square-root model of the term structure (2011)
  2. Carminati, John; Vu, Khai: Symbolic computation and differential equations: Lie symmetries (2000)
  3. Alfinito, Eleonora; Soliani, Giulio; Solombrino, Luigi: The symmetry structure of the heavenly equation (1997)
  4. Head, A.K.: LIE, a PC program for Lie analysis of differential equations (1996)
  5. Castro, Carlos: $W$ gravity, $N=2$ strings, and 2+2 $SU\sp*(\infty)$ Yang-Mills instantons (1994)
  6. Head, A.K.: LIE, a PC program for Lie analysis of differential equations (1993)
  7. Carminati, John; Devitt, John S.; Fee, Greg J.: Isogroups of differential equations using algebraic computing (1992)
  8. Champagne, B.; Hereman, W.; Winternitz, P.: The computer calculation of Lie point symmetries of large systems of differential equations (1991)
  9. Singer, Michael F.: Formal solutions of differential equations (1990)
  10. Drew, Mark S.; Kloster, Steve C.; Gegenberg, Jack D.: Lie group analysis and similarity solutions for the equation $\partial \sp 2u/\partial x\sp 2+\partial \sp 2u/\partial y\sp 2+\partial \sp 2(e\sp u)/\partial z\sp 2=0$ (1989)
  11. Fushchich, W.I.; Kornyak, V.V.: Computer algebra application for determining Lie and Lie-Bäcklund symmetries of differential equations (1989)
  12. Martina, L.; Winternitz, P.: Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem (1989)
  13. Rand, D.W.; Winternitz, P.; Zassenhaus, Hans: On the identification of a Lie algebra given by its structure constants. I: Direct decompositions, Levi decompositions, and nilradicals (1988)
  14. Fuchssteiner, Benno; Oevel, Walter; Wiwianka, Waldemar: Computer-algebra methods for investigation of hereditary operators of higher order soliton equations (1987)
  15. Ames, W.F.; Nucci, M.C.: Analysis of fluid equations by group methods (1986)
  16. Eliseev, V.P.; Fedorova, R.N.; Kornyak, V.V.: A REDUCE program for determining point and contact Lie symmetries of differential equations (1985)
  17. Schwarz, F.: Automatically determining symmetries of partial differential equations (1985)