An inverse problem for the modified Camassa-Holm equation and multi-point Pad\'{e} approximants
Exactly Solvable and Integrable Systems
2015-12-29 v1 Mathematical Physics
Analysis of PDEs
Classical Analysis and ODEs
math.MP
Numerical Analysis
Abstract
In this Letter the main steps in the inverse spectral construction of a family of non-smooth solitons (peakons) to the modified Camassa-Holm equation are oulined. It is shown that the inverse problem is solvable in terms of multi-point Pad\'{e} approximations.
Keywords
Cite
@article{arxiv.1512.08303,
title = {An inverse problem for the modified Camassa-Holm equation and multi-point Pad\'{e} approximants},
author = {Xiangke Chang and Jacek Szmigielski},
journal= {arXiv preprint arXiv:1512.08303},
year = {2015}
}
Comments
7 pages, a report