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 45 articles , 1 standard article )

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  1. Buhe, Eerdun; Bluman, G.; Kara, A.H.: Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method (2016)
  2. Morris, R.M.; Kara, A.H.; Biswas, Anjan: An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws (2016)
  3. Buhe, Eerdun; Bluman, George W.: Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations (2015)
  4. Cheviakov, A.F.; St.Jean, S.: A comparison of conservation law construction approaches for the two-dimensional incompressible Mooney-Rivlin hyperelasticity model (2015)
  5. Nold, Andreas; Oberlack, Martin; Cheviakov, Alexei F.: On new stability modes of plane canonical shear flows using symmetry classification (2015)
  6. San, Sait; Yaşar, Emrullah: On the conservation laws of Derrida-Lebowitz-Speer-Spohn equation (2015)
  7. Vaneeva, Olena; Kuriksha, Oksana; Sophocleous, Christodoulos: Enhanced group classification of gardner equations with time-dependent coefficients (2015)
  8. Chaolu, Temuer; Bluman, G.: An algorithmic method for showing existence of nontrivial non-classical symmetries of partial differential equations without solving determining equations (2014)
  9. Cheviakov, Alexei F.: Conservation properties and potential systems of vorticity-type equations (2014)
  10. Cheviakov, Alexei F.: Symbolic computation of nonlocal symmetries and nonlocal conservation laws of partial differential equations using the GeM package for Maple (2014)
  11. Lisle, Ian G.; Huang, S.-L.Tracy; Reid, Greg J.: Structure of symmetry of PDE: exploiting partially integrated systems (2014)
  12. Yang, Zhengzheng; Cheviakov, Alexei F.: Some relations between symmetries of nonlocally related systems (2014)
  13. Jefferson, G.F.: On the second-order approximate symmetry classification and optimal systems of subalgebras for a forced Korteweg-de Vries equation (2013)
  14. Jefferson, G.F.; Carminati, J.: ASP: automated symbolic computation of approximate symmetries of differential equations (2013)
  15. Khalique, Chaudry Masood: On the solutions and conservation laws of a coupled Kadomtsev-Petviashvili equation (2013)
  16. Naz, Rehana; Naeem, Imran; Khan, M.Danish: Conservation laws of some physical models via symbolic package GeM (2013)
  17. Adem, Abdullahi Rashid; Khalique, Chaudry Masood: Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system (2012)
  18. Cheviakov, A.F.; Ganghoffer, J.-F.: Symmetry properties of two-dimensional Ciarlet-Mooney-Rivlin constitutive models in nonlinear elastodynamics (2012)
  19. Jhangeer, Adil; Naeem, I.: Conserved quantities for a class of $(1 + n)$-dimensional linear evolution equation (2012)
  20. Msomi, A. M.; Govinder, K. S.; Maharaj, S. D.: Applications of Lie symmetries to higher dimensional gravitating fluids (2012)

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