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Dokl. Akad. Nauk SSSR, 1984, Volume 279, Number 1, Pages 20–24 (Mi dan9374)  

This article is cited in 58 scientific papers (total in 59 papers)


Finite-gap two-dimensional potential Schrödinger operators. Explicit formulas and evolution equations

A. P. Veselov, S. P. Novikov

Landau Institute for Theoretical Physics, USSR Academy of Sciences, Chernogolovka Moscow region

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UDC: 517.984+512.77
Received: 06.06.1984

Citation: A. P. Veselov, S. P. Novikov, “Finite-gap two-dimensional potential Schrödinger operators. Explicit formulas and evolution equations”, Dokl. Akad. Nauk SSSR, 279:1 (1984), 20–24

Citation in format AMSBIB
\by A.~P.~Veselov, S.~P.~Novikov
\paper Finite-gap two-dimensional potential Schrödinger operators. Explicit formulas and evolution equations
\jour Dokl. Akad. Nauk SSSR
\yr 1984
\vol 279
\issue 1
\pages 20--24

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    This publication is cited in the following articles:
    1. P. G. Grinevich, R. G. Novikov, “Analogs of multisoliton potentials for the two-dimensional Schrödinger operator”, Funct. Anal. Appl., 19:4 (1985), 276–285  mathnet  crossref  mathscinet  zmath  isi
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    4. A. P. Veselov, “Integration of the stationary problem for a classical spin chain”, Theoret. and Math. Phys., 71:1 (1987), 446–450  mathnet  crossref  mathscinet  isi
    5. P. G. Grinevich, S. P. Novikov, “Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I. Energies below the ground state”, Funct. Anal. Appl., 22:1 (1988), 19–27  mathnet  crossref  mathscinet  zmath  isi
    6. S. M. Natanzon, “Nonsingular finite-zone two-dimensional Schrödinger operators and prymians of real curves”, Funct. Anal. Appl., 22:1 (1988), 68–70  mathnet  crossref  mathscinet  zmath  isi
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    14. S. M. Natanzon, “Differential equations on the Prym theta function. a realness criterion for two-dimensional, finite-zone, potential Schrödinger operators”, Funct. Anal. Appl., 26:1 (1992), 13–20  mathnet  crossref  mathscinet  zmath  isi
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    23. R. G. Novikov, “Approximate Inverse Quantum Scattering at Fixed Energy in Dimension 2”, Proc. Steklov Inst. Math., 225 (1999), 285–302  mathnet  mathscinet  zmath
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    32. A. E. Mironov, “Relationship Between Symmetries of the Tzizeica Equation and the Novikov–Veselov Hierarchy”, Math. Notes, 82:4 (2007), 569–572  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    33. Wang Hong-Yan, “The Nizhnik–Veselov–Novikov equation with self-consistent sources”, Theoret. and Math. Phys., 157:1 (2008), 1474–1483  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
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    41. V. G. Dubrovsky, A. V. Topovsky, M. Yu. Basalaev, “New exact solutions of two-dimensional integrable equations using the $\bar\partial$-dressing method”, Theoret. and Math. Phys., 167:3 (2011), 725–739  mathnet  crossref  crossref  mathscinet  adsnasa  isi
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    43. A. V. Kazeykina, “Absence of Conductivity-Type Solitons for the Novikov–Veselov Equation at Zero Energy”, Funct. Anal. Appl., 47:1 (2013), 64–66  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
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    48. I. A. Taimanov, “Blowing up solutions of the modified Novikov–Veselov equation and minimal surfaces”, Theoret. and Math. Phys., 182:2 (2015), 173–181  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
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