Riemann--Hilbert problem for Camassa--Holm equation with step-like initial data
Mathematical Physics
2014-04-15 v2 math.MP
Abstract
The Cauchy problem for the Camassa -- Holm equation with step-like initial conditions is reformulated as a Riemann -- Hilbert problem. The the initial value problem solution is obtained then in a parametric form from the Riemann -- Hilbert problem solution.
Cite
@article{arxiv.1401.6777,
title = {Riemann--Hilbert problem for Camassa--Holm equation with step-like initial data},
author = {Alexander Minakov},
journal= {arXiv preprint arXiv:1401.6777},
year = {2014}
}
Comments
22 pages