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Sufficient set of integrability conditions of an orthonomic system

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arxiv nlin/0605009 v3 pith:DKFT27DJ submitted 2006-05-03 nlin.SI cs.SC

M. Marvan This is my paper · ORCID
classification nlin.SIcs.SC
keywords conditionsintegrabilitysufficientorthonomicsystemalgorithmconstructdifferential
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Every orthonomic system of partial differential equations is known to possess a finite number of integrability conditions sufficient to ensure the validity of all. Herewith we offer an efficient algorithm to construct a sufficient set of integrability conditions free of redundancies.

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  1. Extended symmetry analysis of two-dimensional degenerate Burgers equation

    math.AP 2019-08 accept novelty 7.0 of 10

    For the degenerate Burgers equation u_t + u u_x - u_yy = 0, all generalized symmetries reduce to Lie symmetries, and conservation laws are in one-to-one correspondence with solutions of the backward heat equation.

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