A comparison of four approaches to the calculation of conservation laws

Simple item page
dc.creatorWolf, Thomas
dc.date2003-01-25
dc.date2003-02-01
dc.date.accessioned2026-07-07T03:19:23Z
dc.date.available2026-07-07T03:19:23Z
dc.descriptionThe paper compares computational aspects of four approaches to compute conservation laws of single differential equations (DEs) 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 for the conservation laws can be specified. Examples include new conservation laws that are non-polynomial in the functions, that have an explicit variable dependence and families of conservation laws involving arbitrary functions. The following equations are investigated in examples: Ito, Liouville, Burgers, Kadomtsev-Petviashvili, Karney-Sen-Chu-Verheest, Boussinesq, Tzetzeica, Benney.
dc.descriptionupdated source code download link
dc.identifierhttps://arxiv.org/abs/cs/0301027
dc.identifierhttp://arxiv.org/abs/cs/0301027
dc.identifierEuro. Jnl of Applied Mathematics, 13, part 2 (2002) 129-152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/31440
dc.subjectSymbolic Computation
dc.subjectMathematical Physics
dc.subjectI.1.2
dc.titleA comparison of four approaches to the calculation of conservation laws
dc.typetext

Files

Collections

arXiv