Peakons, continued fractions and all that
This will be an overview of my work on nonsmooth solitons (peakons). The subject of peakons is very closely related to a classical inverse problem allied with the nonhomogeneous string and its generalizations. I will discuss some of the highlights of these inverse problems
and how these problems help solve the peakon dynamics. This talk is based on my joint work with R. Beals, D. Sattinger and more recently with H. Lundmark.