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SYM

swMATH ID: 7756
Software Authors: Dimas, S.; Tsoubelis, D.
Description: SYM: A new symmetry – finding package for Mathematica. A new package for computing the symmetries of systems of differential equations using Mathematica is presented. Armed with adaptive equation solving capability and pattern matching techniques, this package is able to handle systems of differential equations of arbitrary order and number of variables with the least memory cost possible. By harnessing the capabilities of Mathematica’s front end, all the intermediate mathematical expressions, as well as the final results apear in familiar form. This renders the package a very useful tool for introducing the symmetry solving method to students and non-mathematicians.
Homepage: https://www.researchgate.net/publication/314280594_SYM_package
Dependencies: Mathematica
Related Software: LIE; Mathematica; SYMMGRP; REDUCE; GeM; SYMMGRP.MAX; DIMSYM; LIEPDE; Firedrake; SADE; SYMMETRY; SPDE; Janet
Cited in: 80 Documents
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Cited by 90 Authors

26 Leach, Peter Gavin Lawrence
11 Paliathanasis, Andronikos
10 Freire, Igor Leite
8 Sophocleous, Christodoulos
6 Govinder, Keshlan Sathasiva
6 Halder, Amlan Kanti
6 Tamizhmani, K. M.
5 Dimas, Stylianos
5 Sinuvasan, R.
4 Bozhkov, Yuri Dimitrov
4 Inc, Mustafa
4 Yusuf, Abdullahi A.
3 Aliyu, Aliyu Isa
3 Jamal, Sameerah
3 Morris, Richard Michael
3 O’Hara, John G.
3 Pryer, Tristan
2 Abdulwahhab, Muhammad Alim
2 Băleanu, Dumitru I.
2 Bruzón, Maria Santos
2 Caister, Nicolette C.
2 Cotter, Colin John
2 Faleiros, Antonio Cândido
2 Gandarias Núñez, Maria Luz
2 Matadi, Maba Boniface
1 Abdel-Gawad, Hamdy Ibrahim
1 Abraham-Shrauner, Barbara
1 Acevedo, Yeisson A.
1 Adem, Abdullahi Rashid
1 Agnus, Sherin
1 Ali, Kashif
1 Almohsen, Bandar
1 Andriopoulos, Kostis
1 Aziz, Noor A’lawiah Abd
1 Bacani, Felipo
1 Basquerotto, Cláudio H. C. Costa
1 Camacho, Jose Carlos
1 Casati, Matteo
1 Charalambous, Kyriakos
1 Chen, Yingwei
1 Craddock, Mark
1 da Silva, Márcio Fabiano
1 da Silva, Samuel
1 Deasy, Jacob
1 Devi, A. Durga
1 Dimas, Stelios
1 Duba, C. T.
1 Duque, Óscar M. Londoño
1 Euler, Marianna
1 Euler, Norbert
1 Filho, Nazime Sales
1 Gaĭnetdinova, Aliya Aĭdarovna
1 García Hernández, Danilo A.
1 Gazizov, Rafail Kav’evich
1 Grasselli, Martino
1 Holm, Darryl Dallas
1 Ivanova, Nataliya M.
1 Jhangeer, Adil
1 Khalique, Chaudry Masood
1 Kontogiorgis, Stavros
1 Kumar Pradhan, Pabitra
1 Li, Yongjin
1 Loaiza, Gabriel I.
1 López, Enrique
1 Maharaj, Sunil D.
1 Maidana, Norberto Aníbal
1 Massoukou, Rodrigue Yves M’pika
1 Mathebula, A. S.
1 Mnguni, Nkosingiphile
1 Muatjetjeja, Ben
1 Naidoo, Noeleen
1 Narain, Rivendra
1 Obaidullah, U.
1 Okeke, Justina Ebele
1 Okelola, M. O.
1 Pandey, Manoj Kumar
1 Papamikos, Georgios A.
1 Popovych, Roman O.
1 Righetto, Edison
1 Rizvi, Syed Tahir Raza
1 Ruiz, Adrián Tonatiuh
1 Sampaio, Júlio Cesar Santos
1 Seadawy, Aly R.
1 Seshadri, Rajeswari
1 Tantawy, Mohammad
1 Torrisi, Mariano
1 Vakili, Babak
1 Wang, Gangwei
1 Wang, Qi
1 Xenitidis, Pavlos
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Cited in 49 Serials

5 Quaestiones Mathematicae
4 Applied Mathematics and Computation
4 Communications in Nonlinear Science and Numerical Simulation
3 International Journal of Modern Physics B
3 Journal of Mathematical Physics
3 Mathematical Methods in the Applied Sciences
3 Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Engineering Mathematics
2 Nonlinearity
2 Journal of Computational and Applied Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Applied Mathematics Letters
2 Lobachevskii Journal of Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Journal of Nonlinear Mathematical Physics
2 International Journal of Geometric Methods in Modern Physics
2 International Journal of Applied and Computational Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Computers and Fluids
1 Communications in Mathematical Physics
1 General Relativity and Gravitation
1 Journal of Mathematical Analysis and Applications
1 Wave Motion
1 Journal of Differential Equations
1 Ricerche di Matematica
1 Studies in Applied Mathematics
1 Annals of Physics
1 International Journal of Computer Mathematics
1 Stochastic Processes and their Applications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 The Journal of Analysis
1 Differential Equations and Dynamical Systems
1 International Journal of Theoretical and Applied Finance
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Analysis. Modelling and Control
1 Applied Mathematics E-Notes
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 TEMA. Tendências em Matemática Aplicada e Computacional
1 Chinese Journal of Physics (Taipei)
1 Applicable Analysis and Discrete Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 International Journal of Biomathematics
1 Communications in Theoretical Physics
1 International Journal of Differential Equations
1 Afrika Matematika
1 Advances in Nonlinear Analysis
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Cited in 19 Fields

59 Partial differential equations (35-XX)
18 Ordinary differential equations (34-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Mechanics of particles and systems (70-XX)
9 Topological groups, Lie groups (22-XX)
6 Fluid mechanics (76-XX)
5 Probability theory and stochastic processes (60-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Biology and other natural sciences (92-XX)
3 Nonassociative rings and algebras (17-XX)
3 Relativity and gravitational theory (83-XX)
2 Differential geometry (53-XX)
2 Optics, electromagnetic theory (78-XX)
2 Quantum theory (81-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)

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