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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_0Distribution 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. |

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