Inverse Scattering Transform for the Degasperis-Procesi Equation
Exactly Solvable and Integrable Systems
2012-05-23 v1 Pattern Formation and Solitons
Abstract
We develop the Inverse Scattering Transform (IST) method for the Degasperis-Procesi equation. The spectral problem is an Zakharov-Shabat problem with constant boundary conditions and finite reduction group. The basic aspects of the IST such as the construction of fundamental analytic solutions, the formulation of a Riemann-Hilbert problem, and the implementation of the dressing method are presented.
Cite
@article{arxiv.1205.4754,
title = {Inverse Scattering Transform for the Degasperis-Procesi Equation},
author = {Adrian Constantin and Rossen I. Ivanov and Jonatan Lenells},
journal= {arXiv preprint arXiv:1205.4754},
year = {2012}
}
Comments
18 pages, 1 figure