Quasilinear systems with linearizable characteristic webs

Agafonov, S. I.; Ferapontov, E. V.; Novikov, V. S.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Quasilinear systems with linearizable characteristic webs

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Author(s):	Agafonov, S. I. ; Ferapontov, E. V. ; Novikov, V. S. Total Authors: 3
Document type:	Journal article
Source:	Journal of Mathematical Physics; v. 58, n. 7 JUL 2017.
Web of Science Citations:	0
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. Published by AIP Publishing. (AU)

FAPESP's process:	14/17812-0 - Singularities and geometry of Webs
Grantee:	Serguei Agafonov
Support Opportunities:	Regular Research Grants

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