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Quasilinear systems with linearizable characteristic webs

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posted on 2017-08-09, 10:32 authored by S.I. Agafonov, Evgeny FerapontovEvgeny Ferapontov, Vladimir NovikovVladimir Novikov
We classify quasilinear systems in Riemann invariants whose characteristic webs are linearizable on every solution. Although the linearizability of an individual web is a rather nontrivial differential constraint, the requirement of linearizability of characteristic webs on all solutions imposes simple second-order constraints for the characteristic speeds of the system. It is demonstrated that every such system with n > 3 components can be transformed by a reciprocal transformation to n uncoupled Hopf equations. All our considerations are local.

Funding

This research was supported by FAPESP Grant No. 2014/17812-0.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Mathematical Physics

Volume

58

Citation

AGAFONOV, S.I., FERAPONTOV, E.V. and NOVIKOV, V.S., 2017. Quasilinear systems with linearizable characteristic webs. Journal of Mathematical Physics, 58 (7), 071506.

Publisher

American Institute of Physics (AIP) © 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/

Acceptance date

2017-07-02

Publication date

2017

Notes

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in AGAFONOV, S.I., FERAPONTOV, E.V. and NOVIKOV, V.S., 2017. Quasilinear systems with linearizable characteristic webs. Journal of Mathematical Physics, 58 (7), 071506 and may be found at http://dx.doi.org/10.1063/1.4994198.

ISSN

0022-2488

Language

  • en

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