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Conservation Laws and Nonlocal Variables

Joseph Krasil’shchik,Alexander Verbovetsky,Raffaele Vitolo

The Symbolic Computation of Integrability Structures for Partial Differential EquationsTexts & Monographs in Symbolic Computation（2017）

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Abstract
We discuss here the notion of conservation laws and briefly the theory of Abelian coverings over infinitely prolonged equations. Computation of conservation laws is also closely related to that of cosymmetries , and we shall continue this discussion in Chap. 4 below. In this chapter we give the solution to Problems 1.7, 1.13, and 1.15 posed in Chap. 1.
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Key words
nonlocal variables,conservation,laws
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