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From solitary wave to traveling surge

From solitary wave to traveling surge
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摘要 The solution of kinetic Alfven wave under action of anomalous resistance has two branches: the slow wave, VP<VA cosθ will evolve into a stationary structure of Alfven traveling surge and the fast wave VP>VA cosθ will be in a wave-broken state. Such traveling surge structure is a typical self-organization phenomenon and its wave form is determined by parameter β which represents the magnitude of resistance. High β leads to shock-like structure and low β to the appearance of some solitary waves in front of the shock. According to the study on solitary wave, shock wave and traveling surge in conjunction with self-organization of nonlinear dynamics, a general definition of wave can be given. The solution of kinetic Alfven wave under action of anomalous resistance has two branches: the slow wave, VP&lt;VA cosθ will evolve into a stationary structure of Alfven traveling surge and the fast wave VP&gt;VA cosθ will be in a wave-broken state. Such traveling surge structure is a typical self-organization phenomenon and its wave form is determined by parameter β which represents the magnitude of resistance. High β leads to shock-like structure and low β to the appearance of some solitary waves in front of the shock. According to the study on solitary wave, shock wave and traveling surge in conjunction with self-organization of nonlinear dynamics, a general definition of wave can be given.
作者 宋礼庭
出处 《Science China Mathematics》 SCIE 1995年第9期1145-1152,共8页 中国科学:数学(英文版)
基金 the National Natural Science Foundation of China
关键词 SOLITARY WAVE Alfven TRAVELING SURGE nonlinear dynamics SELF-ORGANIZED process. solitary wave, Alfven traveling surge, nonlinear dynamics, self-organized process.
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