Modified Nonlinear Schrodinger Equation for Alfven Waves Propagating along the Magnetic Field in Cold Plasmas

  • Mio Koji
    Department of Electrical Engineering, Nagoya University
  • Ogino Tatsuki
    Department of Electrical Engineering, Nagoya University
  • Minami Kazuo
    Department of Electrical Engineering, Nagoya University
  • Takeda Susumu
    Department of Electrical Engineering, Nagoya University

書誌事項

タイトル別名
  • Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
  • Modified Nonlinear Schrodinger Equation
  • Modified nonlinear Schrödinger equation for Alfvén waves propagating along magnetic field in cold plasma
  • Modified nonlinear Schrödinger for Alfvén waves propagating along the magnetic field in cold plasma
  • Modified nonlinear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasma

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説明

The basic nonlinear equation which describes the Alfvén waves, with small but finite amplitude propagating along the magnetic field in cold plasmas, is derived modifying the reductive perturbation method proposed by Taniuti and Wei. Then as a result, the nonlinear dispersion relation is obtained through a procedure which clarifies the physical meaning. Furthermore, the modified nonlinear Schrödinger equation which describes the modulated Alfvén wave more correctly than the previous works is proposed. An example of the nonlinear phenomena is shown by the numerical calculations of the initial value problem, using our basic equation for the Alfvén waves.

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