SYMMGRP.MAX

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.


References in zbMATH (referenced in 71 articles )

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  1. Jamal, Sameerah; Mathebula, A.: Generalized symmetries and recursive operators of some diffusive equations (2019)
  2. Jamal, Sameerah; Mnguni, Nkosingiphile: Approximate conditions admitted by classes of the Lagrangian (\mathcalL= \frac12(- u^\prime2 + u^2) + \epsilon^i g_i(u, u^\prime, u”)) (2018)
  3. de la Rosa, R.; Bruzón, M. S.: On the classical and nonclassical symmetries of a generalized Gardner equation (2016)
  4. 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)
  5. de los Santos Bruzon, Maria; Camacho, Jose Carlos: Similarity reductions of a nonlinear model for vibrations of beams (2015)
  6. Rychlik, Marek: Why is Helfenstein’s claim about equichordal points false? (2012)
  7. Camacho, J. C.; Bruzón, M. S.; Ramírez, J.; Gandarias, M. L.: Exact travelling wave solutions of a beam equation (2011)
  8. Gandarias, M. L.: Type-II hidden symmetries for some nonlinear partial differential equations (2011)
  9. Lin, Ji; Zhao, Li-Na; Li, Hua-Mei: Explicit soliton and periodic solutions to three-wave system with quadratic and cubic nonlinearities (2011)
  10. Gandarias, M. L.; Bruzón, M. S.: Type II hidden symmetries through weak symmetries for some wave equations (2010)
  11. Huard, Benoit: Conditionally invariant solutions of the rotating shallow water wave equations (2010)
  12. Bruzón, M. S.; Gandarias, M. L.: Symmetries for a family of Boussinesq equations with nonlinear dispersion (2009)
  13. Cicogna, Giampaolo: Symmetry classification of quasi-linear PDE’s containing arbitrary functions (2008)
  14. Gandarias, M. L.: Type-II hidden symmetries through weak symmetries for nonlinear partial differential equations (2008)
  15. Gandarias, M. L.; Bruzón, M. S.: New solutions of the Schwarzian Korteweg-de Vries equation in (2+1) dimensions based on weak symmetries (2007)
  16. Kiselev, A. V.; Wolf, T.: Classification of integrable super-systems using the Sstools environment (2007)
  17. Cicogna, Giampaolo; Ceccherini, Francesco; Pegoraro, Francesco: Applications of symmetry methods to the theory of plasma physics (2006)
  18. Kamran, Fakhar; Zuchi, Chen; Xiaoda, Ji; Cheng, Yi: Similarity reduction of a ((3+1)) Navier-Stokes system (2006)
  19. Bîlă, Nicoleta; Niesen, Jitse: On a new procedure for finding nonclassical symmetries (2005)
  20. Torres-Torriti, Miguel; Michalska, Hannah: A software package for Lie algebraic computations (2005)

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