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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.

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Metadaten
Author:Thomas Wolf
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
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