| Abstract: |
| I this talk I will discuss a candidate for a 2-component Camassa-Holm equation. The starting point of the work is the well-known fact that the Camassa-Holm equation is an isospectral deformation of the inhomogeneous string boundary value problem. Following this philosophy one can ask about isospectral deformations of the Euler beam problem and this leads to a natural candidate for a two-component Camassa-Holm equation. I will discuss some aspects of the inverse problem for a discrete beam, in particular how the inverse problem can be recast in terms of non-commuting continued fractions of Stieltjes` type, generalizing the results known for the string boundary value problem. This is a preliminary report on the joint work with R. Beals. |
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