Spiky Soliton in Circular Polarized Alfven Wave

  • Ichikawa Y.H.
    Research Information Center, Institute of Plasma Physics, Nagoya University Institute of Plasma Physics, Nagoya University
  • Konno K.
    Research Information Center, Institute of Plasma Physics, Nagoya University Department of Physics, College of Science and Technology, Nihon University
  • Wadati M.
    Research Information Center, Institute of Plasma Physics, Nagoya University Institute of Applied Physics, University of Tsukuba
  • Sanuki H.
    Research Information Center, Institute of Plasma Physics, Nagoya University Institute of Plasma Physics, Nagoya University

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Description

A new type of nonlinear evolution equation for the Alfven waves, propagating parallel to the magnetic field, is now registered to the completely integrable family of nonlinear evolution equations. In spite of the extensive studies of Kaup and Newell, and of Kawata and Inoue, these analysis have been dealing with solutions for restricted boundary conditions. The present paper presents full account of stationary solitary wave solutions for the plane wave boundary condition. The obtained results exhibit peculiar structure of spiky modulation of amplitude and phase, which arises from the derivative nonlinear coupling term. A nonlinear equation for complex amplitude associated with the carrier wave is shown to be a mixed type of nonlinear Schrodinger equation, having an ordinary cubic nonlinear term and the derivative of cubic nonlinear term.

Journal

  • Research report

    Research report 399 1-27, 1979-06

    National Institute for Fusion Science

Details 詳細情報について

  • CRID
    1570572701837211648
  • NII Article ID
    110000011438
  • NII Book ID
    AA0081640X
  • ISSN
    04694732
  • Text Lang
    en
  • Data Source
    • CiNii Articles

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