• DocumentCode
    2530574
  • Title

    Numerical Solutions of the Nonlinear Schrödinger Equation with a Square Root Nonlinearity

  • Author

    Phibanchon, Sarun ; Allen, Michael A.

  • Author_Institution
    Fac. of Sci. & Arts, Burapha Univ., Chanthaburi, Thailand
  • fYear
    2010
  • fDate
    23-26 March 2010
  • Firstpage
    293
  • Lastpage
    295
  • Abstract
    The time evolution of bright solitons in an ion-acoustic plasma with non-isothermal electrons are determined numerically by using the Crank-Nicolson scheme. Head-on collisions between two solitons with the same and different amplitudes are investigated. Both types of collision are found to be inelastic -- the amplitudes and speeds of the outgoing solitons are a little different from those of the incoming solitons.
  • Keywords
    Schrodinger equation; integral equations; nonlinear equations; Crank-Nicolson scheme; ion-acoustic plasma; non-isothermal electrons; nonlinear Schrδdinger equation; square root nonlinearity; time evolution; Art; Difference equations; Electron traps; Maxwell equations; Nonlinear equations; Nuclear and plasma sciences; Physics computing; Plasma waves; Road accidents; Solitons; finite differences; ion-acoustic waves; nonlinear Schrodinger equation; plasmas;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Science and Its Applications (ICCSA), 2010 International Conference on
  • Conference_Location
    Fukuoka
  • Print_ISBN
    978-0-7695-3999-7
  • Electronic_ISBN
    978-1-4244-6462-3
  • Type

    conf

  • DOI
    10.1109/ICCSA.2010.68
  • Filename
    5476654