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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 12, issue 3
Nonlin. Processes Geophys., 12, 425–431, 2005
https://doi.org/10.5194/npg-12-425-2005
© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: Nonlinear plasma waves-solitons, periodic waves and...

Nonlin. Processes Geophys., 12, 425–431, 2005
https://doi.org/10.5194/npg-12-425-2005
© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  23 Mar 2005

23 Mar 2005

Relativistic whistler oscillitons - do they exist?

J. F. McKenzie1,2, E. M. Dubinin1, and K. Sauer1 J. F. McKenzie et al.
  • 1Max-Planck-Institute für Sonnensystemforschung, Lindau, Germany
  • 2Schools of Pure and Applied Physics and Mathematical Sciences, University of Natal, Durban, South Africa

Abstract. We examine the effects of relaxing the assumption of quasi-charge neutrality on the propagation of stationary whistler waves. This necessitates that in the wave frame the equations of motion must be made fully relativistic and when this is done, the correct form of the relativistic dispersive effects is recovered. Our numerical solutions indicate that fully relativistic effects can prevent the formation of oscillitons by virtue of the weakening of dispersive effects required to counterbalance those of nonlinear steepening.

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