Hans Lundmark and Jacek Szmigielski 2003 Inverse Problems 19 1241 doi:10.1088/0266-5611/19/6/001
Hans Lundmark1 and Jacek Szmigielski2
Show affiliationsWe 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.
35R30 Inverse problems (undetermined coefficients, etc.) for PDE
Issue 6 (December 2003)
Received 5 July 2003
Published 26 September 2003
Hans Lundmark and Jacek Szmigielski 2003 Inverse Problems 19 1241
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