• DocumentCode
    440402
  • Title

    New rational solutions of Veselov-Novikov equation and new exact rational potentials of two-dimensional stationary Schrodinger equation via ∂~-dressing method

  • Author

    Dubrovsky, V.G. ; Formusatik, J.B.

  • Author_Institution
    NSTU, Novosibirsk, Russia
  • fYear
    2005
  • fDate
    26 June-2 July 2005
  • Firstpage
    136
  • Lastpage
    138
  • Abstract
    The examples of new recently via Zakharov-Manakov ∂~-dressing method calculated lumps of Veselov-Novikov (VN) nonlinear equation and new exact rational potentials of two-dimensional stationary Schrodinger (2DSchr) equation with multiple pole of order two wave functions are presented. Among the constructed rational solutions are as nonsingular and also singular.
  • Keywords
    Schrodinger equation; nonlinear differential equations; partial differential equations; wave functions; 2D stationary Schrodinger equation; Veselov-Novikov equation; Veselov-Novikov nonlinear equation; Zakharov-Manakov dressing method; multiple pole; rational potentials; rational solutions; wave functions; Books; Differential equations; Humans; Integral equations; Multidimensional systems; Nonlinear equations; Physics; Schrodinger equation; Transforms; Wave functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Science and Technology, 2005. KORUS 2005. Proceedings. The 9th Russian-Korean International Symposium on
  • Print_ISBN
    0-7803-8943-3
  • Type

    conf

  • DOI
    10.1109/KORUS.2005.1507665
  • Filename
    1507665