Multi-peakon solutions of the Degasperis-Procesi equation

Details Multi-peakon solutions of the Degasperis-Procesi equation Multi-peakon solutions of the Degasperis-Procesi equation

2005-03-14

arxiv.org/abs/nlin/0503033v1

Inverse Problems 19 (2003) 1241-1245

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Updated version (minor errors corrected), 5 pages, uses iopart.cls

Scientific paper

10.1088/0266-5611/19/6/001

We present an inverse scattering approach for computing n-peakon solutions of the Degasperis-Procesi equation (a modification of the Camassa-Holm (CH) shallow water equation). The associated non-self-adjoint spectral problem is shown to be amenable to analysis using the isospectral deformations induced from the n-peakon solution, and the inverse problem is solved by a method generalizing the continued fraction solution of the peakon sector of the CH equation.

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