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arXiv · 1205.4754

Inverse Scattering Transform for the Degasperis-Procesi Equation

Adrian Constantin·Rossen I. Ivanov·Jonatan Lenells
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Abstract

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

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Adrian Constantin, Rossen I. Ivanov, Jonatan Lenells. 2012-05-21. Inverse Scattering Transform for the Degasperis-Procesi Equation. https://doi.org/10.1088/0951-7715%2F23%2F10%2F012

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