Computer algebra algorithms and routines for the computation of conservation laws and fixing of gauge in differential expressions

Journal of Symbolic Computation

Volumn 27, Issue 2, 1999, Pages 221-238

  Wolf, Thomas ^a   Brand, Andreas ^b   Mohammadzadeh, Majid ^c  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^c KHARAZMI UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000070068     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1998.0250     Document Type: Article

References (11)

1. Anco, S.C., Bluman, G. (1997). Direct construction of conservation laws from field equations. Phys. Rev. Lett., 78, 2869-2873.
2. Anco, S.C., Bluman, G. (1998). Direct construction method for conservation laws of differential equations, preprint.
3. Göktaş, Ü., Hereman, W. (1996). Symbolic computation of conserved densities for systems of nonlinear evolution equations. J. Symb. Comput., 24, 591-621.
4. Göktaş, Ü., Hereman, W. (in press). Computation of conserved densities for nonlinear lattices. Physica D.
5. Göktaş, Ü., Hereman, W., Erdmann, G. (1997). Computation of conserved densities for systems of nonlinear differential-difference equations. Phys. Lett., A236, 30-38.
6. MacCallum, M.A.H. (1988) An ordinary differential equation solver for REDUCE. Proceedings ISSAC'88, LNCS, 358, Berlin, Springer, pp. 196-205.
7. Olver, P. J. (1986). Applications of Lie Groups to Differential Equations, Graduate Texts in Mathematics, vol. 107, Berlin, Springer.
8. Willox, R., Hereman, W., Verheest, F. (1995). Complete integrability of a modified vector derivative nonlinear Schrödinger equation. Phys. Scrip., 52, 21-26.
9. Wolf, T. (1996). The program CRACK for solving PDEs in general relativity in Hehl, F.W., Puntigam, R.A., Ruder, H., eds, Relativity and Scientific Computing, pp. 241-257. Berlin, Springer.
10. Wolf, T. (1998). A comparison of four approaches to the calculation of conservation laws, preprint.
11. Wolf, T., Brand, A. (1992). The Computer Algebra Package CRACK for Investigating PDEs, manual + software in the REDUCE network library.