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Quasilinear systems with linearizable characteristic webs
journal contribution
posted on 2017-08-09, 10:32 authored by S.I. Agafonov, Evgeny FerapontovEvgeny Ferapontov, Vladimir NovikovVladimir NovikovWe 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 PhysicsVolume
58Citation
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 AuthorsVersion
- 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
2017-07-02Publication date
2017Notes
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
0022-2488Publisher version
Language
- en