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On the spectral curve for functional-difference Schrödinger equation

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We suggest a method for constructing a set of finite-gap solutions for a functional-difference deformation of the Schrödinger equation v(x)f(x +2h)+ f(x)= λf(x + h). It is shown that the edges of gaps of the corresponding spectral curve depend on x. Examples are given. Bibliography: 7 titles.

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Authors and Affiliations

  1. St. Petersburg University of Aerospace Instruments, St. Petersburg, Russia

    G. M. Golovahev & A. O. Smirnov

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  1. G. M. Golovahev
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  2. A. O. Smirnov
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Correspondence to G. M. Golovahev.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 374, 2010, pp. 107–120.

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Golovahev, G.M., Smirnov, A.O. On the spectral curve for functional-difference Schrödinger equation. J Math Sci 168, 820–828 (2010). https://doi.org/10.1007/s10958-010-0030-y

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  • DOI: https://doi.org/10.1007/s10958-010-0030-y

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