Local conservation laws of second-order evolution equations

Details Local conservation laws of second-order evolution equations Local conservation laws of second-order evolution equations

2008-06-17

arxiv.org/abs/0806.2765v3

J. Phys. A: Math. Theor. 41 (2008) 362002

Mathematics

Analysis of PDEs

11 pages, minor corrections

Scientific paper

10.1088/1751-8113/41/36/362002

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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