Two-component {CH} system: Inverse Scattering, Peakons and Geometry
Exactly Solvable and Integrable Systems
2015-05-20 v1 Mathematical Physics
math.MP
Abstract
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equation. As an illustration of the method, the multi - soliton solutions corresponding to the reflectionless potentials are constructed in terms of the scattering data for CH2.
Cite
@article{arxiv.1009.5374,
title = {Two-component {CH} system: Inverse Scattering, Peakons and Geometry},
author = {D. D. Holm and R. I. Ivanov},
journal= {arXiv preprint arXiv:1009.5374},
year = {2015}
}
Comments
22 pages, 3 figures, draft, please send comments