A comparison of four approaches to the calculation of conservation laws
Please always quote using this URN: urn:nbn:de:0297-zib-3896
- The paper compares computational aspects of four approaches to compute conservation laws of single differential equations or systems of them, ODEs and PDEs. The only restriction, required by two of the four corresponding computer algebra programs, is that each DE has to be solvable for a leading derivative. Extra constraints may be given. Examples of new conservation laws include non-polynomial expressions, an explicit variable dependence and conservation laws involving arbitrary functions. Examples involve the following equations: Ito, Liouville, Burgers, Kadomtsev-Petviashvili, Karney-Sen-Chu-Verheest, Boussinesq, Tzetzeica, Benney.
Author: | Thomas Wolf |
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Document Type: | ZIB-Report |
MSC-Classification: | 34-XX ORDINARY DIFFERENTIAL EQUATIONS |
35-XX PARTIAL DIFFERENTIAL EQUATIONS | |
Date of first Publication: | 1999/01/04 |
Series (Serial Number): | ZIB-Report (SC-99-01) |
ZIB-Reportnumber: | SC-99-01 |
Published in: | Appeared in: Euro. Jnl of Applied Mathematics 13 part 2 (2002) 129-152 |