Convergence of the dispersion Camassa-Holm N-Soliton
Mathematical Physics
2018-03-21 v1 math.MP
Abstract
In this paper, we show that the peakon (peaked soliton) solutions can be recovered from the smooth soliton solutions, in the sense that there exists a sequence of smooth N-soliton solutions of the dispersion Camassa-Holm equation converging to the N-peakon of the dispersionless Camassa-Holm equation uniformly with respect to the spatial variable x when the dispersion parameter tends to zero. The main tools are asymptotic analysis and determinant identities.
Keywords
Cite
@article{arxiv.1803.07236,
title = {Convergence of the dispersion Camassa-Holm N-Soliton},
author = {Fengfeng Dong and Lingjun Zhou},
journal= {arXiv preprint arXiv:1803.07236},
year = {2018}
}