RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Dokl. Akad. Nauk:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Dokl. Akad. Nauk SSSR, 1986, Volume 286, Number 1, Pages 19–22 (Mi dan8795)  

This article is cited in 11 scientific papers (total in 11 papers)

MATHEMATICS

Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem

P. G. Grinevich, R. G. Novikov

Lomonosov Moscow State University

Full text: PDF file (496 kB)

Bibliographic databases:
UDC: 517.957+517.984.54
Presented: С. П. Новиков
Received: 29.11.1984

Citation: P. G. Grinevich, R. G. Novikov, “Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem”, Dokl. Akad. Nauk SSSR, 286:1 (1986), 19–22

Citation in format AMSBIB
\Bibitem{GriNov86}
\by P.~G.~Grinevich, R.~G.~Novikov
\paper Analogues of multisoliton potentials for the two-dimensional Schr\"odinger operator, and a nonlocal Riemann problem
\jour Dokl. Akad. Nauk SSSR
\yr 1986
\vol 286
\issue 1
\pages 19--22
\mathnet{http://mi.mathnet.ru/dan8795}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=0822090}
\zmath{https://zbmath.org/?q=an:0616.35071}


Linking options:
  • http://mi.mathnet.ru/eng/dan8795
  • http://mi.mathnet.ru/eng/dan/v286/i1/p19

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. P. G. Grinevich, S. V. Manakov, “Inverse scattering problem for the two-dimensional Schrödinger operator, the $\bar\partial$-method and nonlinear equations”, Funct. Anal. Appl., 20:2 (1986), 94–103  mathnet  crossref  mathscinet  zmath
    2. R. G. Novikov, “Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy”, Funct. Anal. Appl., 20:3 (1986), 246–248  mathnet  crossref  mathscinet  zmath  isi
    3. P. G. Grinevich, “Rational solitons of the Veselov–Novikov equations are reflectionless two-dimensional potentials at fixed energy”, Theoret. and Math. Phys., 69:2 (1986), 1170–1172  mathnet  crossref  mathscinet  zmath  isi
    4. R. G. Novikov, G. M. Henkin, “The $\bar\partial$-equation in the multidimensional inverse scattering problem”, Russian Math. Surveys, 42:3 (1987), 109–180  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    5. V. D. Lipovskii, A. V. Shirokov, “$2+1$ Toda chain. I. Inverse scattering method”, Theoret. and Math. Phys., 75:3 (1988), 555–566  mathnet  crossref  mathscinet  isi
    6. R. G. Novikov, “Multidimensional inverse spectral problem for the equation $-\Delta\psi+(v(x)-Eu(x))\psi=0$”, Funct. Anal. Appl., 22:4 (1988), 263–272  mathnet  crossref  mathscinet  zmath  isi
    7. T. I. Garagash, A. K. Pogrebkov, “Scattering problem for the differential operator $\partial_x\partial_y+1+a(x,y)\partial_y+ b(x,y)$”, Theoret. and Math. Phys., 102:2 (1995), 117–132  mathnet  crossref  mathscinet  zmath  isi
    8. P. G. Grinevich, “Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity”, Russian Math. Surveys, 55:6 (2000), 1015–1083  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. 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
    10. A. V. Kazeykina, “Absence of Solitons with Sufficient Algebraic Localization for the Novikov–Veselov Equation at Nonzero Energy”, Funct. Anal. Appl., 48:1 (2014), 24–35  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    11. A. D. Agaltsov, R. G. Novikov, “Examples of solution of the inverse scattering problem and the equations of the Novikov–Veselov hierarchy from the scattering data of point potentials”, Russian Math. Surveys, 74:3 (2019), 373–386  mathnet  crossref  crossref  adsnasa  isi  elib
  • Number of views:
    This page:25
    Full text:12

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020