Skip to main content
SpringerLink
Log in

Inversion of the Miura transformation

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform, SIAM Studies in Applied Mathematics, SIAM, Philadelphia (1981).

    Google Scholar 

  2. V. Buslaev and V. Fomin, “On the inverse scattering problem for the one-dimensional Schrödinger equation on the entire axis,” Vestn. Leningr. Univ. Mat. Mekh. Astron., No. 1, Issue 1, 56–64 (1962).

    Google Scholar 

  3. V. A. Marchenko, Sturm-Liouville Operators and Their Applications [in Russian], Naukova Dumka, Kiev (1977).

    Google Scholar 

  4. I. M. Glazman, Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, Israel Program for Scientific Translations, Jerusalem (1965).

    Google Scholar 

  5. F. S. Rofe-Beketov and A. M. Khol'kin, “The connection between spectral and oscillation properties of differential-operator equations of arbitrary order. I. Sturm-type theorems,” Teor. Funktsii Funktsional. Anal. i Prilozhen. (Khar'kov), No. 48, 101–111 (1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Ukrain

    V. P. Kotlyarov

Authors
  1. V. P. Kotlyarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 46, No. 4, pp. 14–24, October, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kotlyarov, V.P. Inversion of the Miura transformation. Mathematical Notes of the Academy of Sciences of the USSR 46, 762–769 (1989). https://doi.org/10.1007/BF01158141

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01158141

Search

Navigation