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GeM

swMATH ID: 332
Software Authors: Alexei F. Cheviakov
Description: 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.
Homepage: http://cpc.cs.qub.ac.uk/summaries/ADYK_v1_0.html
Programming Languages: Maple 9.5.
Operating Systems: Windows 2000, Windows XP, Linux, Solaris.
Dependencies: Maple 12-14
Keywords: Symbolic computation; Lie Symmetry; Lie-Bä cklund symmetry; Higher symmetry; Approximate symmetry; Adjoint symmetry; Conservation law; Classification.
Related Software: Maple; SYMMGRP; CRACK; LIEPDE; ConLaw; DESOLVII; SADE; DifferentialGeometry; LIE; ApplySym; REDUCE; LieAlgebrasOfVectorFields; SYM; Mathematica; Janet; diffgrob2; DESOLV; DIMSYM; MapDE; Rif
Cited in: 109 Documents
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Cited by 127 Authors

22 Cheviakov, Alexei F.
11 Bluman, George Wallace
5 Yaşar, Emrullah
4 Huang, S.-L. Tracy
4 Khalique, Chaudry Masood
4 Naeem, Imran
4 Naz, Rehana
4 Oberlack, Martin
4 Popovych, Roman O.
4 Sophocleous, Christodoulos
4 Yong, Xuelin
3 Adem, Abdullahi Rashid
3 Buhe, Eerdun
3 Carminati, John
3 Freire, Igor Leite
3 Jefferson, G. F.
3 Jyoti, Divya
3 Kara, Abdul Hamid
3 Kumar, Sachin
3 Lisle, Ian G.
3 Özer, Teoman
3 Polat, Gülden Gün
3 San, Sait
2 Ahangari, Fatemeh
2 Anco, Stephen C.
2 Boyko, Vyacheslav M.
2 Bruzón, Maria Santos
2 Chaolu, Temuer
2 Dutykh, Denys
2 Filho, Nazime Sales
2 Fu, Hongchen
2 Gandarias Núñez, Maria Luz
2 Gao, Jianwei
2 Ge, Molin
2 Govinder, Keshlan Sathasiva
2 Hereman, Willy A.
2 Heß, Julian
2 Huang, Yehui
2 Ivanova, Nataliya M.
2 Maharaj, Sunil D.
2 Mhlanga, Isaiah Elvis
2 Mohammadi, Zahra
2 Msomi, A. M.
2 Recio, Elena
2 Reid, Gregory John
2 Sekhar, T. Raja
2 Sun, Xiaoqian
2 Vaneeva, Olena O.
2 Yıldırım, Yakup
1 Adams, Paul J.
1 Alatancang, Chen
1 Bai, Tonglaga
1 Bekir, Ahmet
1 Biedenharn, Lawrence C. jun.
1 Bihlo, Alexander
1 Biswas, Anjan
1 Braginets, Oksana
1 Broadbridge, Philip
1 Butcher, J.
1 Chen, Yuning
1 de Souza, Ligia Corrêa
1 Dierkes, Dominik
1 Dorodnitsyn, Vladimir A.
1 Eklund, Holly L.
1 Fan, Engui
1 Fang, Hui
1 Fedele, Francesco
1 Feng, Wei
1 Ganghoffer, Jean-François
1 Gauding, Michael
1 Giresunlu, İlker Burak
1 Gupta, Rajesh Kumar
1 He, Yinghui
1 Herbst, Barend M.
1 Hickman, Mark S.
1 Huang, Tracy Shih-lung
1 Jamal, Sameerah
1 Jhangeer, Adil
1 Kaplan, Melike
1 Kaptsov, Evgeniy I.
1 Kaur, Bikramjeet
1 Khan, Mohammad Danish
1 King, John Robert
1 Kocabiyik, Mehmet
1 Kontogiorgis, Stavros
1 Li, Qian
1 Liu, Yinping
1 Ma, Wen-Xiu
1 Manganaro, Natale
1 Mitsotakis, Dimitrios E.
1 Mladenov, Ivaĭlo M.
1 Moitsheki, Raseelo J.
1 Nadjafikhah, Mehdi
1 Nold, Andreas
1 Ntsime, Basetsana Pauline
1 Ongun, Mevlude Yakit
1 Opanasenko, Stanislav
1 Peng, Linyu
1 Pitzel, Brian
1 Poole, Douglas
...and 27 more Authors
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Cited in 52 Serials

11 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Mathematical Physics
8 Journal of Mathematical Analysis and Applications
5 Computer Physics Communications
5 Journal of Engineering Mathematics
3 Letters in Mathematical Physics
3 Chaos, Solitons and Fractals
3 Physica D
3 Nonlinear Dynamics
2 Computers & Mathematics with Applications
2 Journal of Fluid Mechanics
2 Quaestiones Mathematicae
2 Journal of Symbolic Computation
2 Mathematical Problems in Engineering
2 Mathematics in Computer Science
2 Chinese Journal of Physics (Taipei)
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Mathematical Physics
2 Analysis and Mathematical Physics
2 Journal of Applied Analysis and Computation
1 Archives of Mechanics
1 Classical and Quantum Gravity
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Nonlinearity
1 Reports on Mathematical Physics
1 Applied Mathematics and Computation
1 Collectanea Mathematica
1 Journal of Differential Equations
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 Continuum Mechanics and Thermodynamics
1 Filomat
1 Discrete and Continuous Dynamical Systems
1 Journal of Applied Analysis
1 Abstract and Applied Analysis
1 Lobachevskii Journal of Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Journal of Nonlinear Mathematical Physics
1 Mathematical Modelling and Analysis
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Applied Mathematical Sciences
1 Lecture Notes in Applied and Computational Mechanics
1 Frontiers of Mathematics in China
1 Symmetry
1 Journal of Mathematics and Computer Science. JMCS
1 Journal of Mathematics
1 International Journal of Partial Differential Equations
1 International Journal of Applied and Computational Mathematics
1 Applied Mathematics and Nonlinear Sciences

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