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 42 articles )

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  1. Bacani, Felipo; Dimas, Stylianos; Freire, Igor Leite; Maidana, Norberto Anibal; Torrisi, Mariano: Mathematical modelling for the transmission of dengue: symmetry and travelling wave analysis (2018)
  2. Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa: Traveling wave solutions and conservation laws for nonlinear evolution equation (2018)
  3. Freire, Igor; Muatjetjeja, Ben: Symmetry analysis of a Lane-Emden-Klein-Gordon-Fock system with central symmetry (2018)
  4. Abdulwahhab, Muhammad Alim; Jhangeer, Adil: Symmetries and generalized higher order conserved vectors of the wave equation on Bianchi I spacetime (2017)
  5. da Silva, Márcio Fabiano; Freire, Igor Leite; Faleiros, Antonio C^andido: Solutions for equations involving the infinity-Laplacian (2017)
  6. Dimas, Stylianos; Leite Freire, Igor: Study of a fifth order PDE using symmetries (2017)
  7. Gainetdinova, A. A.; Gazizov, R. K.: Integrability of systems of two second-order ordinary differential equations admitting four-dimensional Lie algebras (2017)
  8. Kontogiorgis, Stavros; Sophocleous, Christodoulos: On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations (2017)
  9. Matadi, Maba Boniface: Symmetry and conservation laws for tuberculosis model (2017)
  10. 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)
  11. Massoukou, R. Y. M’pika; Govinder, K. S.: Symmetry analysis for hyperbolic equilibria using a TB/dengue fever model (2016)
  12. 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)
  13. Paliathanasis, Andronikos; Leach, P. G. L.: Nonlinear ordinary differential equations: a discussion on symmetries and singularities (2016)
  14. Paliathanasis, Andronikos; Morris, Richard M.; Leach, Peter G. L.: Lie symmetries of $(1+2)$ nonautonomous evolution equations in financial mathematics (2016)
  15. Paliathanasis, Andronikos; Vakili, Babak: Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries (2016)
  16. Casati, Matteo: On deformations of multidimensional Poisson brackets of hydrodynamic type (2015)
  17. Charalambous, K.; Sophocleous, C.; O’Hara, J. G.; Leach, P. G. L.: A deductive approach to the solution of the problem of optimal pairs trading from the viewpoint of stochastic control with time-dependent parameters (2015)
  18. 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)
  19. Okelola, M. O.; Govinder, K. S.; O’Hara, J. G.: Solving a partial differential equation associated with the pricing of power options with time-dependent parameters (2015)
  20. 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)

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