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Title: Quasilinear systems with linearizable characteristic webs
Authors: Agafonov, S.I.
Ferapontov, E.V.
Novikov, V.S.
Keywords: Hyperbolic systems
Characteristics
Webs
Linearization problem
Reciprocal transformations
Issue Date: 2017
Publisher: American Institute of Physics (AIP) © The Authors
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.
Abstract: 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.
Description: 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.
Sponsor: This research was supported by FAPESP Grant No. 2014/17812-0.
Version: Accepted for publication
DOI: 10.1063/1.4994198
URI: https://dspace.lboro.ac.uk/2134/25992
Publisher Link: http://dx.doi.org/10.1063/1.4994198
ISSN: 0022-2488
Appears in Collections:Published Articles (Maths)

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