Local conservation laws of second-order evolution equations

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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.
11 pages, minor corrections

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Analysis of PDEs, Mathematical Physics, 35K55; 35K57; 35A30

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http://salesiana.dossiersoluciones.com/handle/123456789/166402

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.2765
 http://arxiv.org/abs/0806.2765
 J. Phys. A: Math. Theor. 41 (2008) 362002
 doi:10.1088/1751-8113/41/36/362002

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arXiv