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

Stephen C. Anco, George Bluman

Published 2001-08-27, updated 2002-12-08Version 2

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.