Volume 21, Issue 2, March 2014, Pages 214 - 224
Characteristic integrals in 3D and linear degeneracy
Received 19 December 2013, Accepted 22 January 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.900993How to use a DOI?
- Keywords
- Characteristic integrals; principal symbol; linear degeneracy; dispersionless integrability; Veronese variety
- Abstract
Conservation laws vanishing along characteristic directions of a given system of PDEs are known as characteristic conservation laws, or characteristic integrals. In 2D, they play an important role in the theory of Darboux-integrable equations. In this paper we discuss characteristic integrals in 3D and demonstrate that, for a class of second order linearly degenerate dispersionless integrable PDEs, the corresponding characteristic integrals are parametrised by points on the Veronese variety.
- Copyright
- © 2014 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - E.V. Ferapontov AU - J. Moss PY - 2021 DA - 2021/01/06 TI - Characteristic integrals in 3D and linear degeneracy JO - Journal of Nonlinear Mathematical Physics SP - 214 EP - 224 VL - 21 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.900993 DO - 10.1080/14029251.2014.900993 ID - Ferapontov2021 ER -