Coupled Modes Approach to Non-Linear Dispersive Wave. : I. Recurrence of Soliton
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概要
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The K-dV equation is numerically solved by means of a mode coupling methodfor periodic waves launched at a certain boundary. The coupled modes equationsfor slowly varying complex amplitudes are first derived and are solved. Thesuperposition of N modes yields almost periodic solutions in space which representthe recurrence of an initial state. The recurrence length is given explicitly as afunction of a frequency and an initial amplitude at the boundary. The recurrenceis, in general, imperfect and the waveform differs from each other at differentrecurrence points. The reason of the imperfect recurrence is discussed from theview points of wave-wave interaction and of soliton-soliton interaction.
- 社団法人日本物理学会の論文
- 1977-04-15
著者
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Tanaca Hiroshi
Research Institute For Energy Materials Yokohama National University
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Ohishi Masako
Research Institute For Energy Materials Yokohama National University
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WATANABE Sihnsuke
Research Institute for Energy Materials,Yokohama National University
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Watanabe Sihnsuke
Research Institute For Energy Materials Yokohama National University
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Watanabe Shinsuke
Research Information Center Institute Of Plasma Physics Nagoya University:research Institute For Ene
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