• DocumentCode
    3152548
  • Title

    The integrability and solvability for the variable coefficient higher-order nonlinear Schrödinger equation

  • Author

    Tao, Yongsheng ; He, Jingsong

  • Author_Institution
    Dept. of Math., Ningbo Univ., Ningbo, China
  • fYear
    2011
  • fDate
    16-18 April 2011
  • Firstpage
    5402
  • Lastpage
    5405
  • Abstract
    A more general variable coefficient higher-order nonlinear Schrödinger equation (VCHNLSE) in nonlinear fiber optics is studied by constructing a transformation which maps the VCHNLSE to the Sasa-satsuma equation (SSE), thus its solutions are expressed explicitly from the known ones of the SSE. One novel feature of this transformation is made up of two arbitrary functions so that we can design different integrable VCHNLSEs from different concerns.
  • Keywords
    Schrodinger equation; integral equations; nonlinear equations; SSE; Sasa-satsuma equation; arbitrary function; higher-order nonlinear Schrodinger equation; integrability; integrable VCHNLSE; nonlinear fiber optics; variable coefficient; Equations; Mathematical model; Optical fiber communication; Optical fiber dispersion; Optical fibers; Optical pulses; Solitons; SSE; VCHNLSE; bright soliton; designable integrability; two peak soltion;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on
  • Conference_Location
    XianNing
  • Print_ISBN
    978-1-61284-458-9
  • Type

    conf

  • DOI
    10.1109/CECNET.2011.5768446
  • Filename
    5768446