Zakharov-Shabat system and hyperbolic pseudoanalytic function theory
Mathematical Physics
2013-07-11 v2 math.MP
Abstract
In [1] a hyperbolic analogue of pseudoanalytic function theory was developed. In the present contribution we show that one of the central objects of the inverse problem method the Zakharov-Shabat system is closely related to a hyperbolic Vekua equation for which among other results a generating sequence and hence a complete system of formal powers can be constructed explicitly.
Cite
@article{arxiv.0808.3219,
title = {Zakharov-Shabat system and hyperbolic pseudoanalytic function theory},
author = {Viktor G. Kravchenko and Vladislav V. Kravchenko and Sébastien Tremblay},
journal= {arXiv preprint arXiv:0808.3219},
year = {2013}
}
Comments
9 pages