On the Cauchy problem for a new integrable two-component system with peakon and weak kink solutions
Analysis of PDEs
2013-06-04 v1
Abstract
This paper is contributed to study the Cauchy problem of a new integrable two-component system with peaked soliton (peakon) and weak kink solutions. We first establish the local well-posedness result for the Cauchy problem in Besov spaces, and then present a precise blow-up scenario and a new blow-up result for strong solutions to the system.
Keywords
Cite
@article{arxiv.1306.0417,
title = {On the Cauchy problem for a new integrable two-component system with peakon and weak kink solutions},
author = {Kai Yan and Zhijun Qiao and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1306.0417},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1105.1196