This article is cited in 5 papers

Rational interpolation and solitons

A. B. Shabat<sup>ab

a</sup> Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
^b Aliev Karachaev--Cherkess State University, Karachaevsk, Russia

Abstract: We consider the general construction scheme for second-order spectral problems, for which the semiclassical approximation is exact. We show that the inverse spectral problem in this case reduces to the classical interpolation problem for meromorphic functions.

Keywords: inverse spectral problem, semiclassical approximation, interpolation of meromorphic functions.

Received: 18.02.2014

DOI: 10.4213/tmf8662

 English version: Theoretical and Mathematical Physics, 2014, 179:3, 637–648

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