Programs for Applying Symmetries of PDEs
Please always quote using this URN: urn:nbn:de:0297-zib-1710
- In this paper the programs {\tt APPLYSYM}, {\tt QUASILINPDE} and {\tt DETRAFO} are described which aim at the utilization of infinitesimal symmetries of differential equations. The purpose of {\tt QUASILINPDE} is the general solution of quasilinear PDEs. This procedure is used by {\tt APPLYSYM} for the application of point symmetries for either \begin{itemize} \item calculating similarity variables to perform a point transformation which lowers the order of an ODE or effectively reduces the number of explicitly occuring independent variables in a PDE(-system) or for \item generalizing given special solutions of ODEs/PDEs with new constant parameters. \end{itemize} The program {\tt DETRAFO} performs arbitrary point- and contact transformations of ODEs/PDEs and is applied if similarity and symmetry variables have been found. The program {\tt APPLYSYM} is used in connection with the program {\tt LIEPDE} for formulating and solving the conditions for point- and contact symmetries which is described in LIEPDE(1992). The actual problem solving is done in all these programs through a call to the package {\tt CRACK} for solving overdetermined PDE-systems.
Author: | Thomas Wolf |
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Document Type: | ZIB-Report |
Date of first Publication: | 1995/02/13 |
Series (Serial Number): | ZIB-Report (SC-95-05) |
ZIB-Reportnumber: | SC-95-05 |
Published in: | Appeared in: ISSAC 95. Proc. of the 1995 int. symp. on symbolic and algebraic computation, July 10-12, 1995, Montreal, Canada. New York: ACM Press 1995, pp. 7-15 |