SYM

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 31 articles )

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  1. Abdulwahhab, Muhammad Alim; Jhangeer, Adil: Symmetries and generalized higher order conserved vectors of the wave equation on Bianchi I spacetime (2017)
  2. Matadi, Maba Boniface: Symmetry and conservation laws for tuberculosis model (2017)
  3. Sinuvasan, R.; Paliathanasis, Andronikos; Morris, Richard M.; Leach, Peter G.L.: Solution of the master equation for quantum Brownian motion given by the Schrödinger equation (2017)
  4. Massoukou, R.Y.M’pika; Govinder, K.S.: Symmetry analysis for hyperbolic equilibria using a TB/dengue fever model (2016)
  5. Paliathanasis, Andronikos; Krishnakumar, K.; Tamizhmani, K.M.; Leach, Peter G.L.: Lie symmetry analysis of the Black-Scholes-Merton model for European options with stochastic volatility (2016)
  6. Paliathanasis, Andronikos; Leach, P.G.L.: Nonlinear ordinary differential equations: a discussion on symmetries and singularities (2016)
  7. Paliathanasis, Andronikos; Morris, Richard M.; Leach, Peter G.L.: Lie symmetries of $(1+2)$ nonautonomous evolution equations in financial mathematics (2016)
  8. Paliathanasis, Andronikos; Vakili, Babak: Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries (2016)
  9. Casati, Matteo: On deformations of multidimensional Poisson brackets of hydrodynamic type (2015)
  10. 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)
  11. 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)
  12. Bozhkov, Y.; Dimas, S.: Group classification of a generalization of the Heath equation (2014)
  13. Tamizhmani, K.M.; Krishnakumar, K.; Leach, P.G.L.: Algebraic resolution of equations of the Black-Scholes type with arbitrary time-dependent parameters (2014)
  14. Adem, Abdullahi Rashid; Khalique, Chaudry Masood: New exact solutions and conservation laws of a coupled Kadomtsev-Petviashvili system (2013)
  15. Bozhkov, Y.; Dimas, S.: Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation (2013)
  16. Leach, P.G.L.: Derivatives of differential sequences (2013)
  17. O’Hara, J.G.; Sophocleous, C.; Leach, P.G.L.: Symmetry analysis of a model for the exercise of a barrier option (2013)
  18. O’Hara, J.G.; Sophocleous, C.; Leach, P.G.L.: Application of Lie point symmetries to the resolution of certain problems in financial mathematics with a terminal condition (2013)
  19. Sophocleous, C.; Leach, P.G.L.: Thin films: increasing the complexity of the model (2012)
  20. Caister, N.C.; Govinder, K.S.; O’Hara, J.G.: Optimal system of Lie group invariant solutions for the Asian option PDE (2011)

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