Author: Mohajer Keivan Szmigielski Jacek
Publisher: IOP Publishing
ISSN: 0266-5611
Source: Inverse Problems, Vol.28, Iss.1, 2012-01, pp. : 15002-15014
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Abstract
The inverse problem which arises in the study of the integrable PDE proposed by V Novikov is solved for a class of discrete densities. The method of solution relies on the use of Cauchy biorthogonal polynomials. The explicit formulas are obtained directly from the analysis on the real axis without any additional transformations to the ‘string’-type boundary value problems known from prior works.
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