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 63 articles )

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  1. Aliyu, Aliyu Isa; Li, Yongjin; Inc, Mustafa; Yusuf, Abdullahi; Almohsen, Bandar: Dynamics of solitons to the coupled sine-Gordon equation in nonlinear optics (2021)
  2. Halder, Amlan K.; Leach, P. G. L.; Paliathanasis, Andronikos: Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries (2021)
  3. Leach, P. G. L.; Paliathanasis, Andronikos: A systematic analysis of the properties of the generalised Painlevé-Ince equation (2021)
  4. Abdel-Gawad, H. I.; Tantawy, M.; Inc, Mustafa; Yusuf, A.: Construction of rogue waves and conservation laws of the complex coupled Kadomtsev-Petviashvili equation (2020)
  5. Cotter, Colin J.; Deasy, Jacob; Pryer, Tristan: The (r)-Hunter-Saxton equation, smooth and singular solutions and their approximation (2020)
  6. Craddock, Mark; Grasselli, Martino: Lie symmetry methods for local volatility models (2020)
  7. Halder, Amlan K.; Leach, P. G. L.; Paliathanasis, A.; Sinuvasan, R.: Cheng equation: a revisit through symmetry analysis (2020)
  8. Sinuvasan, R.; Tamizhmani, K. M.; Leach, P. G. L.: Algebraic and singularity properties of a class of generalisations of the Kummer-Schwarz equation (2020)
  9. Basquerotto, Cláudio H. C. Costa; Ruiz, Adrián; Righetto, Edison; da Silva, Samuel: Moving frames for Lie symmetries reduction of nonholonomic systems (2019)
  10. Govinder, K. S.; Narain, R.; Okeke, Justina E.: New exact solutions and conservation laws of a class of Kuramoto Sivashinsky (KS) equations (2019)
  11. Halder, Amlan K.; Paliathanasis, Andronikos; Leach, P. G. L.: Singularity analysis of a variant of the Painlevé-Ince equation (2019)
  12. Jamal, Sameerah; Mathebula, A.: Generalized symmetries and recursive operators of some diffusive equations (2019)
  13. Kumar Pradhan, Pabitra; Pandey, Manoj: Lie symmetries, one-dimensional optimal system and group invariant solutions for the Ripa system (2019)
  14. Papamikos, Georgios; Pryer, Tristan: A Lie symmetry analysis and explicit solutions of the two-dimensional (\infty)-polylaplacian (2019)
  15. Wang, Gangwei; Wang, Qi; Chen, Yingwei: Group analysis and conservation laws of an integrable Kadomtsev-Petviashvili equation (2019)
  16. 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)
  17. Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa: Traveling wave solutions and conservation laws for nonlinear evolution equation (2018)
  18. Freire, Igor; Muatjetjeja, Ben: Symmetry analysis of a Lane-Emden-Klein-Gordon-Fock system with central symmetry (2018)
  19. 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)
  20. Matadi, Maba Boniface: Lie symmetry analysis of early carcinogenesis model (2018)

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