Solitary waves in the critical surface-tension model

被引:0
|
作者
Brian T. N. Gunney
Yi A. Li
Peter J. Olver
机构
[1] Medtronic,
[2] Inc.,undefined
[3] Los Alamos National Laboratory,undefined
[4] School of Mathematics University of Minnesota,undefined
来源
Journal of Engineering Mathematics | 1999年 / 36卷
关键词
solitary wave; surface tension; water wave; Korteweg-de Vries equation; Boussinesq expansion.;
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学科分类号
摘要
This paper studies the properties of solitary-wave solutions of a particular fifth-order evolution equation that models water waves with surface tension. Existence and nonexistence results are surveyed and strengthened. An accurate numerical code is devised and used to show the small dispersive effects of solitary-wave collisions.
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页码:99 / 112
页数:13
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