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Manuscript Title: ASP: Automated Symbolic Computation of Approximate Symmetries of Differential Equations
Authors: G. Jefferson, J. Carminati
Program title: ASP
Catalogue identifier: AEOG_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 184(2013)1045
Programming language: MAPLE internal language.
Computer: PCs and workstations.
Operating system: Linux, Windows XP and Windows 7.
RAM: Depends on the type of problem and the complexity of the system (small ≈ MB, large ≈ GB)
Word size: Supports 32 and 64 bit platforms
Keywords: Classical and approximate symmetries, Symbolic computation.
PACS: 02.30.J, 02.02.S, 02.70.
Classification: 4.3, 5.

Nature of problem:
Calculates approximate symmetries for differential equations using any of the three methods as proposed by Baikov, Gazizov and Ibragimov [1,2], Fushchych and Shtelen [3] or Pakdemirli, Yürüsoy and Dolapci [4]. Package includes an altered version of the DESOLVII package (Vu, Jefferson and Carminati [5]).

Solution method:
See Nature of problem above.

Restrictions:
Sufficient memory may be required for large systems.

Running time:
Depends on the type of problem and the complexity of the system (small ≈ seconds, large ≈ hours).

References:
[1] V. A. Baikov, R.K. Gazizov, N.H. Ibragimov, Approximate symmetries of equations with a small parameter, Mat. Sb. 136 (1988), 435-450 (English Transl. in Math. USSR Sb. 64 (1989), 427-441).
[2] N.H. Ibragimov (Ed.), CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 3, CRC Press, Boca Raton, FL, 1996.
[3] W. I. Fushchych, W.H. Shtelen, On approximate symmetry and approximate solution of the non-linear wave equation with a small parameter, J. Phys. A: Math. Gen. 22 (1989), 887-890.
[4] M. Pakdemirli, M. Yürüsoy I. T. Dolapci, Comparison of Approximate Symmetry Methods for Differential Equations, Acta Applicandae Mathematicae 80 (2004), 243-271.
[5] K. T. Vu, G. F. Jefferson, J. Carminati, Finding generalised symmetries of differential equations using the MAPLE package DESOLVII, Computer Physics Communications 183 (2012), 1044-1054.