Quasilinear systems with linearizable characteristic webs
Differential Geometry
2017-08-02 v1
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.
Cite
@article{arxiv.1606.02175,
title = {Quasilinear systems with linearizable characteristic webs},
author = {S. I. Agafonov and E. V. Ferapontov and V. S. Novikov},
journal= {arXiv preprint arXiv:1606.02175},
year = {2017}
}