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 97 articles , 1 standard article )
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- Feng, Wei: On symmetry groups and conservation laws for space-time fractional inhomogeneous nonlinear diffusion equation (2019)
- Giresunlu, İlker Burak; Yaşar, Emrullah; Rashid Adem, Abdullahi: The logarithmic ((1+1))-dimensional KdV-like and ((2+1))-dimensional KP-like equations: Lie group analysis, conservation laws and double reductions (2019)
- Heß, Julian; Cheviakov, Alexei F.: A solution set-based entropy principle for constitutive modeling in mechanics (2019)
- Manganaro, N.: Conservation laws for (2 \times2) hyperbolic systems (2019)
- Mohammadi, Zahra; Reid, Gregory J.; Huang, Tracy Shih-lung: Introduction of the MapDE algorithm for determination of mappings relating differential equations (2019)
- Peng, Linyu; Zhang, Zhenning: Statistical Einstein manifolds of exponential families with group-invariant potential functions (2019)
- Shi, Jianping; Zhou, Mengmeng; Fang, Hui: Group-invariant solutions, non-group-invariant solutions and conservation laws of Qiao equation (2019)