SYM: A new symmetry -- finding package for Mathematica. A new package for computing the symmetries of systems of differential equations using Mathematica is presented. Armed with adaptive equation solving capability and pattern matching techniques, this package is able to handle systems of differential equations of arbitrary order and number of variables with the least memory cost possible. By harnessing the capabilities of Mathematica’s front end, all the intermediate mathematical expressions, as well as the final results apear in familiar form. This renders the package a very useful tool for introducing the symmetry solving method to students and non-mathematicians.

References in zbMATH (referenced in 22 articles )

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  1. Paliathanasis, Andronikos; Leach, P.G.L.: Nonlinear ordinary differential equations: a discussion on symmetries and singularities (2016)
  2. Paliathanasis, Andronikos; Vakili, Babak: Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries (2016)
  3. Casati, Matteo: On deformations of multidimensional Poisson brackets of hydrodynamic type (2015)
  4. Krishnakumar, K.; Tamizhmani, K.M.; Leach, P.G.L.: Algebraic solutions of the Hirota bilinear form for the Korteweg-de Vries and Boussinesq equations (2015)
  5. Tamizhmani, K.M.; Krishnakumar, K.; Leach, P.G.L.: Symmetries and reductions of order for certain nonlinear third- and second-order differential equations with arbitrary nonlinearity (2015)
  6. Bozhkov, Y.; Dimas, S.: Group classification of a generalization of the Heath equation (2014)
  7. Tamizhmani, K.M.; Krishnakumar, K.; Leach, P.G.L.: Algebraic resolution of equations of the Black-Scholes type with arbitrary time-dependent parameters (2014)
  8. Adem, Abdullahi Rashid; Khalique, Chaudry Masood: New exact solutions and conservation laws of a coupled Kadomtsev-Petviashvili system (2013)
  9. Bozhkov, Y.; Dimas, S.: Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation (2013)
  10. O’Hara, J.G.; Sophocleous, C.; Leach, P.G.L.: Symmetry analysis of a model for the exercise of a barrier option (2013)
  11. Sophocleous, C.; Leach, P.G.L.: Thin films: increasing the complexity of the model (2012)
  12. Caister, N.C.; Govinder, K.S.; O’Hara, J.G.: Optimal system of Lie group invariant solutions for the Asian option PDE (2011)
  13. Euler, M.; Euler, N.; Leach, P.G.L.: Properties of the Calogero-Degasperis-Ibragimov-Shabat differential sequence (2011)
  14. Freire, Igor Leite; Faleiros, Antonio C^andido: Lie point symmetries and some group invariant solutions of the quasilinear equation involving the infinity Laplacian (2011)
  15. Sophocleous, C.; O’Hara, J.G.; Leach, P.G.L.: Symmetry analysis of a model of stochastic volatility with time-dependent parameters (2011)
  16. Sophocleous, C.; O’Hara, J.G.; Leach, P.G.L.: Algebraic solution of the Stein-Stein model for stochastic volatility (2011)
  17. Bozhkov, Yuri; Freire, Igor Leite: Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation (2010)
  18. Caister, Nicolette C.; O’Hara, John G.; Govinder, Keshlan S.: Solving the Asian option PDE using Lie symmetry methods (2010)
  19. Freire, I.L.: Note on Lie point symmetries of Burgers equations (2010)
  20. Ivanova, N.M.; Popovych, R.O.; Sophocleous, C.: Group analysis of variable coefficient diffusion-convection equations. I: Enhanced group classification (2010)

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