We present a recently developed Maple-based “GeM” software package for automated symmetry and conservation law analysis of systems of partial and ordinary differential equations (DE). The package contains a collection of powerful easy-to-use routines for mathematicians and applied researchers. A standard program that employs “GeM” routines for symmetry, adjoint symmetry or conservation law analysis of any given DE system occupies several lines of Maple code, and produces output in the canonical form. Classification of symmetries and conservation laws with respect to constitutive functions and parameters present in the given DE system is implemented. The “GeM” package is being successfully used in ongoing research. Run examples include classical and new results. (Source:

References in zbMATH (referenced in 64 articles , 1 standard article )

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  1. Adem, Abdullahi Rashid: On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: multiple (\exp)-function method (2018)
  2. Cheviakov, A. F.; Heß, J.: A symbolic computation framework for constitutive modelling based on entropy principles (2018)
  3. Cheviakov, Alexei F.: Exact closed-form solutions of a fully nonlinear asymptotic two-fluid model (2018)
  4. Kara, Abdul H.: On the relationship between the invariance and conservation laws of differential equations (2018)
  5. Sadeghi, H.; Oberlack, M.; Gauding, M.: On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation (2018)
  6. Satapathy, Purnima; Raja Sekhar, T.: Nonlocal symmetries classifications and exact solution of Chaplygin gas equations (2018)
  7. Yıldırım, Yakup; Yaşar, Emrullah: A (2+1)-dimensional breaking soliton equation: solutions and conservation laws (2018)
  8. Cheviakov, A. F.; Naz, R.: A recursion formula for the construction of local conservation laws of differential equations (2017)
  9. Dierkes, Dominik; Oberlack, Martin: Euler and Navier-Stokes equations in a new time-dependent helically symmetric system: derivation of the fundamental system and new conservation laws (2017)
  10. Kontogiorgis, Stavros; Sophocleous, Christodoulos: On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations (2017)
  11. Lisle, Ian G.; Huang, S.-L. Tracy: Algorithmic calculus for Lie determining systems (2017)
  12. Mhlanga, Isaiah Elvis; Khalique, Chaudry Masood: A study of a generalized Benney-Luke equation with time-dependent coefficients (2017)
  13. Yıldırım, Yakup; Yaşar, Emrullah: An extended Korteweg-de Vries equation: multi-soliton solutions and conservation laws (2017)
  14. Zhang, Zhi-Yong: Conservation laws of partial differential equations: symmetry, adjoint symmetry and nonlinear self-adjointness (2017)
  15. Buhe, Eerdun; Bluman, G.; Kara, A. H.: Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method (2016)
  16. Morris, R. M.; Kara, A. H.; Biswas, Anjan: An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws (2016)
  17. Recio, E.; Gandarias, M. L.; Bruzón, M. S.: Symmetries and conservation laws for a sixth-order Boussinesq equation (2016)
  18. Bruzón, María S.; Gandarias, María L.; Recio, Elena; Anco, Stephen C.: A nonlinear generalization of the Camassa-Holm equation with peakon solutions (2015)
  19. Buhe, Eerdun; Bluman, George W.: Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations (2015)
  20. Cheviakov, A. F.; St. Jean, S.: A comparison of conservation law construction approaches for the two-dimensional incompressible Mooney-Rivlin hyperelasticity model (2015)

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