GeM
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: http://cpc.cs.qub.ac.uk/summaries/)
Keywords for this software
References in zbMATH (referenced in 75 articles , 1 standard article )
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Sorted by year (- Polat, Gülden Gün; Özer, Teoman: The group-theoretical analysis of nonlinear optimal control problems with Hamiltonian formalism (2020)
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- Peng, Linyu; Zhang, Zhenning: Statistical Einstein manifolds of exponential families with group-invariant potential functions (2019)
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- Wang, Guo; Yong, Xuelin; Huang, Yehui; Tian, Jing: Symmetry, pulson solution, and conservation laws of the Holm-Hone equation (2019)
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- Cheviakov, A. F.; Heß, J.: A symbolic computation framework for constitutive modelling based on entropy principles (2018)
- Cheviakov, Alexei F.: Exact closed-form solutions of a fully nonlinear asymptotic two-fluid model (2018)
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- 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)
- Satapathy, Purnima; Raja Sekhar, T.: Nonlocal symmetries classifications and exact solution of Chaplygin gas equations (2018)
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- Cheviakov, A. F.; Naz, R.: A recursion formula for the construction of local conservation laws of differential equations (2017)
- Cheviakov, Alexei F.: Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models (2017)
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- Lisle, Ian G.; Huang, S.-L. Tracy: Algorithmic calculus for Lie determining systems (2017)
- Mhlanga, Isaiah Elvis; Khalique, Chaudry Masood: A study of a generalized Benney-Luke equation with time-dependent coefficients (2017)