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arXiv · 0806.2765

Local conservation laws of second-order evolution equations

Roman O. Popovych·Anatoly M. Samoilenko
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Abstract

Generalizing results by Bryant and Griffiths [Duke Math. J., 1995, V.78, 531-676], we completely describe local conservation laws of second-order (1+1)-dimensional evolution equations up to contact equivalence. The possible dimensions of spaces of conservation laws prove to be 0, 1, 2 and infinity. The canonical forms of equations with respect to contact equivalence are found for all nonzero dimensions of spaces of conservation laws.

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Roman O. Popovych, Anatoly M. Samoilenko. 2008-08-06. Local conservation laws of second-order evolution equations. https://doi.org/10.1088/1751-8113/41/36/362002

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