An inverse problem for the modified Camassa-Holm equation and multi-point Padé approximants

Abstract

In this Letter the main steps in the inverse spectral construction of a family of non-smooth solitons (peakons) to the modified Camassa-Holm equation are oulined. It is shown that the inverse problem is solvable in terms of multi-point Padé approximations.

7 pages, a report

References in corpus (1)

• Integrable system with peakon, weak kink, and kink-peakon interactional solutions