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Nonlinear wave dynamics in space plasmas: Evolution from simplewave solitons to amplitudemodulated oscillitons,Used
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This is a companion monograph to Ma & StMaurice: Ion Kinetic Theory of Auroral Plasmas, LAP Lambert Academic Publishing, 2011. Nonlinear waves observed in space plasmas are featured by simplewave solitary structures and amplitudemodulated oscilliton wavepackets. Their wavefields are so strong that the traditional weakfield KdV formulation is not suitable to be adopted. A selfsimilar twofluid model is thus used to account for the excitation, propagation, and effects of largeamplitude solitary waves in space plasmas. Both Cartesian and cylindrical geometries are considered. After introducing two mathematical methods usually used for classical solitary waves, generic, exact modelings are described on a stepbystep basis to characterize the evolution from amplitudeunmodulated simplewave soliton modes to amplitudemodulated oscilliton ones. The effects of nonlinear waves on transverse ion heating and ioncyclotron frequency broadening are discussed in details by employing a simple magnetic flux tube model. A summary and limitations of the work are also addressed. The research was also guided by Professor Akira Hirose, Canada Research Chair, University of Saskatchewan, Canada.
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