Inverse problems associated with integrable equations of Camassa-Holm type; explicit formulas on the real axis, I
Exactly Solvable and Integrable Systems
2015-05-28 v1
Abstract
The inverse problem which arises in the Camassa--Holm equation is revisited for the class of discrete densities. The method of solution relies on the use of orthogonal polynomials. The explicit formulas are obtained directly from the analysis on the real axis without any additional transformation to a "string" type boundary value problem known from prior works.
Keywords
Cite
@article{arxiv.1107.1329,
title = {Inverse problems associated with integrable equations of Camassa-Holm type; explicit formulas on the real axis, I},
author = {Keivan Mohajer and Jacek Szmigielski},
journal= {arXiv preprint arXiv:1107.1329},
year = {2015}
}