Hostname: page-component-7b9c58cd5d-sk4tg Total loading time: 0 Render date: 2025-03-15T14:47:25.163Z Has data issue: false hasContentIssue false

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
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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
2002 Cambridge University Press