Inverse problems associated with integrable equations of Camassa-Holm type; explicit formulas on the real axis, I

Details Inverse problems associated with integrable equations of Camassa-Holm type; explicit formulas on the real axis, I Inverse problems associated with integrable equations of Camassa-Holm type; explicit formulas on the real axis, I

2011-07-07

arxiv.org/abs/1107.1329v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

The inverse problem which arises in the Camassa--Holm equation is revisited
for the class of discrete densities. The method of solution relies on the use
of orthogonal polynomials. The explicit formulas are obtained directly from the
analysis on the real axis without any additional transformation to a "string"
type boundary value problem known from prior works.

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