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Direct construction method for conservation laws of partial differential equations. Part II: General treatment

2001/08/31 by Stephen C. Anco, George Bluman · 2 citations
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:35L65 #msc:35A99 #msc:70S10

paper · pdf

published as Euro. J. Applied Math. 13 (2002) 567-585 · Published version; 19 pages; LaTeX

arxiv created 2002/12/08 · arxiv updated 2009/11/30

Abstract

This paper gives a general treatment and proof of the direct conservation law method presented in Part I. In particular, the treatment here applies to finding the local conservation laws of any system of one or more partial differential equations expressed in a standard Cauchy-Kovalevskaya form. A summary of the general method and its effective computational implementation is also given.

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