摘要
本文首先介绍槽中Faraday水波所满足的Miles方程,以及相应的非传播呼吸式和扭结式孤立子解。特别研究表面张力对孤立波存在域的影响,其结果和多个作者的理论和实验相矛盾,提出了一个修正模型。对稳定区,孤子-孤子互作用,在孤子存在域外的其它水波,孤立波和同(异)宿轨道间关系,以及从孤子态经分岔走向混沌等问题也都给予以进一步的研究和讨论。
The Miles' equation which is satisfied by the Faraday wave within the trough, and the corresponding solution of the nonpropagating breather solitons and kink solitons are introduced. The effect of surface tension on existing region of solitary waves, and the contradiction between the theory and experiment are discussed especially. A correcting model is proposed. The stability region, interaction of solitons, the pattern of water waves which go outside the existing region of solitary waves, the relation between solitary waves and homoclinic(heteroclinic) orbits, and the route from solitary waves to bifurcation and chaos are discussed.
出处
《物理学进展》
CSCD
北大核心
1996年第3期273-285,共13页
Progress In Physics
