2 papers
solv-int1999
Multipeakons and the Classical Moment Problem
Richard Beals, D. H. Sattinger, J. Szmigielski
Classical results of Stieltjes are used to obtain explicit formulas for the peakon-antipeakon solutions of the Camassa-Holm equation. The closed form solution is expressed in terms…
solv-int1999
Acoustic Scattering and the Extended Korteweg deVries hierarchy
R. Beals, D. H. Sattinger, J. Szmigielski
The acoustic scattering operator on the real line is mapped to a Schrödinger operator under the Liouville transformation. The potentials in the image are characterized precisely in…