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Title: Characteristic integrals in 3D and linear degeneracy
Authors: Ferapontov, E.V.
Moss, Jonathan
Keywords: Characteristic integrals
Principal symbol
Linear degeneracy
Dispersionless integrability
Veronese variety
Issue Date: 2014
Publisher: Atlantis Press and Taylor & Francis (© the authors)
Citation: FERAPONTOV, E. and MOSS, J., 2014. Characteristic integrals in 3D and linear degeneracy. Journal of Nonlinear Mathematical Physics, DOI: 10.1080/14029251.2014.900993.
Abstract: Conservation laws vanishing along characteristic directions of a given system of PDEs are known as characteristic conservation laws, or characteristic integrals. In 2D, they play an important role in the theory of Darboux-integrable equations. In this paper we discuss characteristic integrals in 3D and demonstrate that, for a class of second order linearly degenerate dispersionless integrable PDEs, the corresponding characteristic integrals are parametrised by points on the Veronese variety.
Description: This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Nonlinear Mathematical Physics on 13/05/2016, available online: http://dx.doi.org/10.1080/14029251.2014.900993.
Version: Accepted for publication
DOI: 10.1080/14029251.2014.900993
URI: https://dspace.lboro.ac.uk/2134/21403
Publisher Link: http://dx.doi.org/10.1080/14029251.2014.900993
ISSN: 1402-9251
Appears in Collections:Published Articles (Maths)

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