<RESEARCH REPORT>Solitons in Plasma and Other Dispersive Media : Dawn of Nonlinear Physics
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概要
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A review is given to recent development of extensive studies of nonlinear waves with purpose of showing methods of systematic analysis of nonlinear phenomena has been now established on the basis of new concept "soliton". Firstly, characteristic properties of various kinds of solitons are discussed with illustration of typical nonlinear evolution equations. Brief discussions are also given to basic mechanisms which ensure the remarkable stability and individuality of solitons. The reductive perturbation theory is a key method to reduce a given nonlinear system to a soliton system. Introductory survey is presented for an example of ionic mode in plasmas, although the method can be applied to any dispersive medium. Central subject of the present review is the analytical methods of solving nonlinear evolution equations. The inverse method, the Backlund transformation and the concervation laws are discussed to emphasize that very firm analytical basis is now available to disentangle the nonlinear problems. Finally, a notion of "dressed" solitons is introduced on basis of the higher order analysis of the reductive perturbation theory. In spite of the fact that success is restricted so far only for the one dimensional system, the achievement of soliton physics encourages us to face dawn of nonlinear physics with a confident expectation for forthcoming break through in the field.
- 核融合科学研究所の論文
著者
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Ichikawa Yoshi
Research Information Center Institute Of Plasma Physics Nagoya University
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Wadati Miki
Research Information Center Institute Of Plasma Physics Nagoya University:department Of Physics And
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Ichikawa Yoshi
Research Information Center, Institute of Plasma Physics Nagoya University
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