New integrable (3+1)-dimensional systems and contact geometry
Analysis of PDEs
2018-01-25 v5 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
We introduce a novel systematic construction for integrable (3+1)-dimensional dispersionless systems using nonisospectral Lax pairs that involve contact vector fields. In particular, we present new large classes of (3+1)-dimensional integrable dispersionless systems associated to the Lax pairs which are polynomial and rational in the spectral parameter.
Cite
@article{arxiv.1401.2122,
title = {New integrable (3+1)-dimensional systems and contact geometry},
author = {A. Sergyeyev},
journal= {arXiv preprint arXiv:1401.2122},
year = {2018}
}
Comments
16 pages, LaTeX, no figures, revised and abridged, in this version (v5) the typos were fixed (including some that have unfortunately crept into the published version too), Letters in Mathematical Physics (2017)