The computer calculation of Lie point symmetries of large systems of differential equations. Solution method: The construction of the symmetry groups of differential equations is based on an adaptation of the method. This procedure is translated into a MACSYMA program that performs the most elaborate part of the job, namely the construction of a complete list of determining equations which is free of redundant factors, repetitions and trivial differential consequences.

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  1. de la Rosa, R.; Gandarias, M.L.; Bruzón, M.S.: A study for the microwave heating of some chemical reactions through Lie symmetries and conservation laws (2015)
  2. Rychlik, Marek: Why is Helfenstein’s claim about equichordal points false? (2012)
  3. Camacho, J.C.; Bruzón, M.S.; Ramírez, J.; Gandarias, M.L.: Exact travelling wave solutions of a beam equation (2011)
  4. Gandarias, M.L.: Type-II hidden symmetries for some nonlinear partial differential equations (2011)
  5. JLin, i; Zhao, Li-Na; Li, Hua-Mei: Explicit soliton and periodic solutions to three-wave system with quadratic and cubic nonlinearities (2011)
  6. Gandarias, M.L.; Bruzón, M.S.: Type II hidden symmetries through weak symmetries for some wave equations (2010)
  7. Huard, Benoit: Conditionally invariant solutions of the rotating shallow water wave equations (2010)
  8. Bruzón, M.S.; Gandarias, M.L.: Symmetries for a family of Boussinesq equations with nonlinear dispersion (2009)
  9. Cicogna, Giampaolo: Symmetry classification of quasi-linear PDE’s containing arbitrary functions (2008)
  10. Gandarias, M.L.: Type-II hidden symmetries through weak symmetries for nonlinear partial differential equations (2008)
  11. Gandarias, M.L.; Bruzón, M.S.: New solutions of the Schwarzian Korteweg-de Vries equation in $2+1$ dimensions based on weak symmetries (2007)
  12. Kiselev, A.V.; Wolf, T.: Classification of integrable super-systems using the Sstools environment (2007)
  13. Cicogna, Giampaolo; Ceccherini, Francesco; Pegoraro, Francesco: Applications of symmetry methods to the theory of plasma physics (2006)
  14. Kamran, Fakhar; Zuchi, Chen; Xiaoda, Ji; Cheng, Yi: Similarity reduction of a $(3+1)$ Navier-Stokes system (2006)
  15. B{^ı}lă, Nicoleta; Niesen, Jitse: On a new procedure for finding nonclassical symmetries (2005)
  16. Torres-Torriti, Miguel; Michalska, Hannah: A software package for Lie algebraic computations (2005)
  17. Wiltshire, Ron; El-Kafri, Manal: Non-classical and potential symmetry analysis of Richard’s equation for moisture flow in soil (2004)
  18. Bruzón, M.S.; Gandarias, M.L.: Symmetry reductions for a dissipation-modified KdV equation (2003)
  19. Winternitz, Pavel: Lie groups, singularities and solutions of nonlinear partial differential equations (2003)
  20. Güngör, F.; Winternitz, P.: Generalized Kadomtsev-Petviashvili equation with an infinite-dimensional symmetry algebra (2002)

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