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

Published online by Cambridge University Press:  03 December 2002

STEPHEN C. ANCO  and
GEORGE BLUMAN
STEPHEN C. ANCO
Affiliation:
Department of Mathematics, Brock University, St. Catharines, ON Canada L2S 3A1 email: sanco@brocku.ca
GEORGE BLUMAN
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC Canada V6T 1Z2 email: bluman@math.ubc.ca
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Abstract

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This paper gives a general treatment and proof of the direct conservation law method presented in Part I (see Anco & Bluman [3]). 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.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 13 , Issue 5 , October 2002 , pp. 567 - 585
Copyright
2002 Cambridge University Press