• DocumentCode
    2210773
  • Title

    Computing Solution of the Nonlinear Schodinger Equation with Mixed Dispersion by Turing Machines

  • Author

    Lu, Dianchen ; Zheng, Rui ; Miao, Renxiang

  • Author_Institution
    Nonlinear Sci. Res. Center, Jiangsu Univ., Zhenjiang, China
  • fYear
    2009
  • fDate
    26-28 Dec. 2009
  • Firstpage
    4001
  • Lastpage
    4004
  • Abstract
    We investigate the computability of the solution operators of the initial value problem for the fourth-order nonlinear SchA¿¶dinger equation. The framework of our research is the TTE (Type-2 Theory Effectivity) which is founded by Weihrauch based on the generalized Turing machines.
  • Keywords
    Turing machines; computability; initial value problems; nonlinear equations; quantum computing; type theory; initial value problem; mixed dispersion; nonlinear Schodinger equation; solution operators computability; turing machines; type-2 theory effectivity; Computational modeling; Differential equations; Dispersion; Information science; Magnetic materials; Mathematics; Nonlinear equations; Solitons; Turing machines;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Engineering (ICISE), 2009 1st International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-4909-5
  • Type

    conf

  • DOI
    10.1109/ICISE.2009.418
  • Filename
    5454648