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math-ph2001
Direct construction method for conservation laws of partial differential equations. Part II: General treatment
Stephen C. Anco, George Bluman
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 conservatio…
math-ph2001
Direct construction method for conservation laws of partial differential equations. Part I: Examples of conservation law classifications
Stephen C. Anco, George Bluman
An effective algorithmic method is presented for finding the local conservation laws for partial differential equations with any number of independent and dependent variables. The…
math-ph2001
Classification of local conservation laws of Maxwell's equations
Stephen C. Anco, Juha Pohjanpelto
A complete and explicit classification of all independent local conservation laws of Maxwell's equations in four dimensional Minkowski space is given. Besides the elementary linear…