On the existence of small amplitude solitary waves with strong surface tension
On the existence of small amplitude solitary waves with strong surface tension
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DOI：
10.1016/0022-0396(91)90159-7
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发表时间：
1991-03
影响因子：
2.4
通讯作者：
R. Sachs
中科院分区：
文献类型：
--
作者：
R. Sachs
对于较大的表面张力参数(β>；1，3)，发展了包含表面张力效应的小振幅孤立波的存在性理论。利用Beale的思想，应用Nash-Moser隐函数定理证明了Korteweg和DeVries的著名近似。因此，阿米克和基希格斯内尔的一些最新结果得到了更直接的结果，并为未决案件β<；1 3获得了额外的洞察力。
An existence theory for small amplitude solitary waves with surface tension effects included is developed for large values of the surface tension parameter (β> 1 3). Using ideas of Beale, the Nash-Moser implicit function theorem is applied to justify the well-known approximation of Korteweg and deVries. Some of the recent results of Amick and Kirchgässner are thereby achieved more directly and additional insight obtained for the open case β< 1 3.