On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems
Exactly Solvable and Integrable Systems
2018-03-19 v3
Abstract
In this letter I analyze a covering jet manifold scheme, its relation to the invariant theory of the associated vector fields, and applications to the Lax-Sato-type integrability of nonlinear dispersionless differential systems. The related contact geometry linearization covering scheme is also discussed. The devised techniques are demonstrated for such nonlinear Lax-Sato integrable equations as Gibbons-Tsarev, ABC, Manakov-Santini and the differential Toda singular manifold equations.
Keywords
Cite
@article{arxiv.1801.07312,
title = {On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems},
author = {Anatolij K. Prykarpatski},
journal= {arXiv preprint arXiv:1801.07312},
year = {2018}
}