Inverse scattering transform for the Degasperis–Procesi equation

Authors

Adrian Constantin, University of ViennaFollow
Rossen Ivanov, Technological University DublinFollow
Jonatan Lenells, Leibniz Universitat Hannover,Follow

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Applied mathematics

Publication Details

Nonlinearity, vol. 23 (2010) pp. 2559–2575, doi:10.1088/0951-7715/23/10/012.

Abstract

We develop the Inverse Scattering Transform (IST) method for the Degasperis- Procesi equation. The spectral problem is an sl(3) 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.

DOI

https://doi.org/10.1088/0951-7715/23/10/012.

Recommended Citation

Constantin, A., Ivanov, R., & Lenells, J. (2010). Inverse Scattering Transform for the Degasperis–Procesi Equation. Nonlinearity vol. 23, pg. 2559–2575. doi:10.1088/0951-7715/23/10/012.

Funder

SFI Grant 09/RFP/MTH2144