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Interactions of internal solitary waves in deep stratified fluids (I)——Weak interactions 被引量:1

Interactions of internal solitary waves in deep stratified fluids (I)——Weak interactions
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摘要 The weak interactions of internal solitary waves in deep stratified fluids are investigated interms of Lagrangian coordinates, which include the head-on and overtaking collisions of solitary waves with. different modes, and the head-on collision of waves with the same mode. The analysis shows that each waveis governed by the intermediately long wave (ILW) equation for finitely deep fluids and the Benjamin-Ono(BO) equation for infinitely deep fluids. The main effect of the interaction is the phase shifts of each wave. The weak interactions of internal solitary waves in deep stratified fluids are investigated interms of Lagrangian coordinates, which include the head-on and overtaking collisions of solitary waves with. different modes, and the head-on collision of waves with the same mode. The analysis shows that each waveis governed by the intermediately long wave (ILW) equation for finitely deep fluids and the Benjamin-Ono(BO) equation for infinitely deep fluids. The main effect of the interaction is the phase shifts of each wave.
作者 朱勇
出处 《Science China Mathematics》 SCIE 1996年第7期728-737,共10页 中国科学:数学(英文版)
基金 Science Foundation of Shanghai Education Committee.
关键词 internal SOLITARY waves WEAK INTERACTIONS DEEP STRATIFIED fluids. internal solitary waves, weak interactions, deep stratified fluids.
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