Direct construction method for conservation laws of partial differential equations. Part I: Examples of conservation law classifications

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dc.creatorAnco, Stephen C.
dc.creatorBluman, George
dc.date2001-08-27
dc.date2002-12-08
dc.date.accessioned2026-07-07T04:28:37Z
dc.date.available2026-07-07T04:28:37Z
dc.descriptionAn effective algorithmic method is presented for finding the local conservation laws for partial differential equations with any number of independent and dependent variables. The method does not require the use or existence of a variational principle and reduces the calculation of conservation laws to solving a system of linear determining equations similar to that for finding symmetries. An explicit construction formula is derived which yields a conservation law for each solution of the determining system. In the first of two papers (Part I), examples of nonlinear wave equations are used to exhibit the method. Classification results for conservation laws of these equations are obtained. In a second paper (Part II), a general treatment of the method is given.
dc.descriptionPublished version; 23 pages; LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0108023
dc.identifierhttp://arxiv.org/abs/math-ph/0108023
dc.identifierEuro. J. Applied Math. 13 (2002) 545-566
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56856
dc.subjectMathematical Physics
dc.subject35L65, 70S10
dc.titleDirect construction method for conservation laws of partial differential equations. Part I: Examples of conservation law classifications
dc.typetext

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