Oblique nonlinear Alfvén waves in strongly magnetized beam plasmas. Part 1. Nonlinear vector evolution equation

Nonlinear MHD waves propagating obliquely to the external magnetic field in warm multi-species plasmas with anisotropic pressures and different equilibrium drifts are treated without imposing the customary quasi-neutrality between the different species or neglecting the displacement current in Ampère's law. The wave magnetic field obeys a vector nonlinear evolution equation, which in the limits of parallel propagation or of both the neglect of the displacement current and the imposition of quasi-neutrality reduces to the vector formulation of the well-known derivative nonlinear Schrödinger equation.

[1]  B. Deconinck,et al.  Oblique nonlinear Alfvén waves in strongly magnetized beam plasmas. Part 2. Soliton solutions and integrability , 1993, Journal of Plasma Physics.

[2]  M. J. Rycroft,et al.  Solar Wind Seven: E. Marsch and R. Schwenn (eds), 1992, 711 pp. Pergamon Press, £95.00 hb, ISBN 0-08-042049-4 , 1993 .

[3]  S. Spangler,et al.  Characteristics of obliquely propagating, nonlinear Alfvén waves , 1992 .

[4]  F. Verheest.  Parallel solitary Alfvén waves in warm multi-species beam-plasma systems. Part 2. Anisotropic pressures , 1992, Journal of Plasma Physics.

[5]  B. Buti,et al.  Parallel solitary Alfvén waves in warm multi-species beam-plasma systems. Part 1 , 1992, Journal of Plasma Physics.

[6]  S. Spangler.  The evolution of large-amplitude MHD waves near quasi-parallel shocks in the solar wind , 1992 .

[7]  F. Michel.  Theory of Neutron Star Magnetospheres , 1990 .

[8]  F. Verheest.  Nonlinear parallel Alfvén waves in cometary plasmas , 1990 .

[9]  Tohru Hada,et al.  Stationary nonlinear Alfvén waves and solitons , 1989 .

[10]  J. Wyller,et al.  Nonlinear Alfvén waves in a finite-beta plasma , 1988, Journal of Plasma Physics.

[11]  C. Kennel,et al.  Nonlinear, dispersive, elliptically polarized Alfvén waves , 1988 .

[12]  K. Mio.  Envelope Solitons for Nonlinear Alfvén Waves Propagating along along the Magnetic Field in Plasmas , 1988 .

[13]  S. Spangler,et al.  Properties of Alfvén Solitons in a Finite-Beta Plasma J. Plasma Phys. vol. 27, 1982, p. 193 , 1982, Journal of Plasma Physics.

[14]  J. Sakai,et al.  Modulational instability of finite amplitude dispersive Alfvén waves , 1983 .

[15]  R. Rajaram,et al.  Evolution of nonlinear Alfvén waves propagating along the magnetic field in a collisionless plasma , 1982, Journal of Plasma Physics.

[16]  Susumu Takeda,et al.  Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas , 1975 .

[17]  A. Rogister.  Parallel Propagation of Nonlinear Low‐Frequency Waves in High‐β Plasma , 1971 .

[18]  M. Bachynski,et al.  The Particle Kinetics of Plasmas , 1966 .