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Funktsional. Anal. i Prilozhen.:

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Funktsional. Anal. i Prilozhen., 1975, Volume 9, Issue 1, Pages 69–70 (Mi faa2220)  

This article is cited in 24 scientific papers (total in 24 papers)

Brief communications

vHill's operator with finitely many gaps

A. R. Its, V. B. Matveev

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English version:
Functional Analysis and Its Applications, 1975, 9:1, 65–66

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Received: 20.05.1974

Citation: A. R. Its, V. B. Matveev, “vHill's operator with finitely many gaps”, Funktsional. Anal. i Prilozhen., 9:1 (1975), 69–70; Funct. Anal. Appl., 9:1 (1975), 65–66

Citation in format AMSBIB
\by A.~R.~Its, V.~B.~Matveev
\paper vHill's operator with finitely many gaps
\jour Funktsional. Anal. i Prilozhen.
\yr 1975
\vol 9
\issue 1
\pages 69--70
\jour Funct. Anal. Appl.
\yr 1975
\vol 9
\issue 1
\pages 65--66

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    This publication is cited in the following articles:
    1. A. R. Its, V. B. Matveev, “Schrödinger operators with finite-gap spectrum and $N$-soliton solutions of the Korteweg–de Vries equation”, Theoret. and Math. Phys., 23:1 (1975), 343–355  mathnet  crossref  mathscinet
    2. I. M. Krichever, “Potentials with zero coefficient of reflection on a background of finite-zone potentials”, Funct. Anal. Appl., 9:2 (1975), 161–163  mathnet  crossref  mathscinet  zmath
    3. B. A. Dubrovin, “Periodic problems for the Korteweg–de Vries equation in the class of finite band potentials”, Funct. Anal. Appl., 9:3 (1975), 215–223  mathnet  crossref  mathscinet  zmath
    4. B. A. Dubrovin, V. B. Matveev, S. P. Novikov, “Non-linear equations of Korteweg–de Vries type, finite-zone linear operators, and Abelian varieties”, Russian Math. Surveys, 31:1 (1976), 59–146  mathnet  crossref  mathscinet  zmath
    5. B. A. Dubrovin, “Konechnozonnye lineinye differentsialnye operatory i abelevy mnogoobraziya”, UMN, 31:4(190) (1976), 259–260  mathnet  mathscinet  zmath
    6. E. D. Belokolos, A. I. Bobenko, V. B. Matveev, V. Z. Ènol'skii, “Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations”, Russian Math. Surveys, 41:2 (1986), 1–49  mathnet  crossref  mathscinet  zmath  isi
    7. I. A. Taimanov, “Secants of Abelian varieties, theta functions, and soliton equations”, Russian Math. Surveys, 52:1 (1997), 147–218  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. Krichever, I, “Periodic and almost-periodic potentials in inverse problems”, Inverse Problems, 15:6 (1999), R117  isi
    9. Yu. V. Brezhnev, “Finite-Band Potentials with Trigonal Curves”, Theoret. and Math. Phys., 133:3 (2002), 1657–1662  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    10. V. M. Buchstaber, I. M. Krichever, “Integrable equations, addition theorems, and the Riemann–Schottky problem”, Russian Math. Surveys, 61:1 (2006), 19–78  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    11. I. M. Krichever, “Abelian solutions of the soliton equations and Riemann–Schottky problems”, Russian Math. Surveys, 63:6 (2008), 1011–1022  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    12. Matveev, VB, “30 years of finite-gap integration theory”, Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 366:1867 (2008), 837  crossref  isi
    13. S. Kotani, “Kdv flow on generalized reflectionless potentials”, Zhurn. matem. fiz., anal., geom., 4:4 (2008), 490–528  mathnet  mathscinet  zmath
    14. Kurasov P., “Inverse problems for Aharonov-Bohm rings”, Mathematical Proceedings of the Cambridge Philosophical Society, 148:Part 2 (2010), 331–362  crossref  isi
    15. Kostov N.A., Gerdjikov V.S., Mioc V., “Exact solutions for a class of integrable Henon-Heiles-type systems”, Journal of Mathematical Physics, 51:2 (2010), 022702  crossref  isi
    16. A. A. Fedotov, “Adiabatic almost-periodic Schrödinger operators”, J. Math. Sci. (N. Y.), 173:3 (2011), 299–319  mathnet  crossref
    17. Y. C. Hon, Engui Fan, “Super quasiperiodic wave solutions and asymptotic analysis for $\mathcal N=1$ supersymmetric $KdV$-type equations”, Theoret. and Math. Phys., 166:3 (2011), 317–336  mathnet  crossref  crossref  adsnasa  isi
    18. Shou-fu Tian, Hong-qing Zhang, “Super Riemann theta function periodic wave solutions and rational characteristics for a supersymmetric KdV–Burgers equation”, Theoret. and Math. Phys., 170:3 (2012), 287–314  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    19. Gaëtan Borot, Bertrand Eynard, “Geometry of Spectral Curves and All Order Dispersive Integrable System”, SIGMA, 8 (2012), 100, 53 pp.  mathnet  crossref  mathscinet
    20. Andrei Ya. Maltsev, “Whitham's Method and Dubrovin–Novikov Bracket in Single-Phase and Multiphase Cases”, SIGMA, 8 (2012), 103, 54 pp.  mathnet  crossref
    21. Brezhnev Yu.V., “Spectral/Quadrature Duality: Picard-Vessiot Theory and Finite-Gap Potentials”, Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics, Contemporary Mathematics, 563, ed. AcostaHumanez P. Finkel F. Kamran N. Olver P., Amer Mathematical Soc, 2012, 1–31  crossref  isi
    22. Vladimir P. Kotlyarov, “A Matrix Baker–Akhiezer Function Associated with the Maxwell–Bloch Equations and their Finite-Gap Solutions”, SIGMA, 14 (2018), 082, 27 pp.  mathnet  crossref
    23. P. G. Grinevich, P. M. Santini, “The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes”, Russian Math. Surveys, 74:2 (2019), 211–263  mathnet  crossref  crossref  adsnasa  isi  elib
    24. O. A. Veliev, “On the finite-zone periodic PT-symmetric potentials”, Mosc. Math. J., 19:4 (2019), 807–816  mathnet  crossref
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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