Nonlinear Wave Modulation in a Magnetized Collisionless Plasma

  • Kako Masashi
    Institute of Plasma Physics, Nagoya University
  • Furutani Yoichiro
    Laboratoire de Physique des Plasmas (Laboratoire associé au C.N.R.S.), Faculté des Science d’Orsay, Université Paris XI
  • Ichikawa Yoshi H.
    Department of Physics and Atomic Energy Research Institute, College of Science and Engineering, Nihon University
  • Taniuti Tosiya
    Department of Physics, Nagoya University

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Nonlinear modulation of quasi-monochromatic electromagnetic waves propagating parallel to an external magnetic field is investigated with particular attention to contributions of resonant particles at the group velocity. The contributions of these resonant particles give rise to a nonlocal-nonlinear tram and modify the local-nonlinear term of the nonlinear Schrödinger equation. An explicit expression of a coefficient of the nonlocal-nonlinear term is given for a plasma characterized by isotropic Maxwellian velocity distribution functions. In a vanishing temperature limit this coefficient becomes zero and the nonlinear Schrödinger equation agrees with that obtained by using a fluid model.

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