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Characteristic integrals in 3D and linear degeneracy

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journal contribution
posted on 2016-05-31, 08:55 authored by E.V. Ferapontov, Jonathan Moss
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Nonlinear Mathematical Physics

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.

Publisher

Atlantis Press and Taylor & Francis (© the authors)

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2014

Notes

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.

ISSN

1402-9251

eISSN

1776-0852

Language

  • en