Exact solutions for small-amplitude capillary-gravity water waves

被引：6
|
作者：
Ionescu-Kruse, Delia [1 ]
机构：
[1] Romanian Acad Sci, Inst Math, RO-014700 Bucharest, Romania
来源：
WAVE MOTION | 2009年 / 46卷 / 06期
关键词：
Capillary-gravity water waves; Small-amplitude waves; Jacobian elliptic functions; Abel differential equations of second kind; LINEAR PERIODIC CAPILLARY; PARTICLE TRAJECTORIES; SURFACE-TENSION; VORTICITY; SYMMETRY; FLOWS;
D O I：
10.1016/j.wavemoti.2009.06.003
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
We present explicit solutions for the ordinary differential equations system describing the motion of the particles beneath small-amplitude capillary-gravity waves which propagate on the surface of an irrotational water flow with a flat bottom. The required computations involve elliptic integrals of first kind, the Legendre normal form and a solvable Abel differential equation of the second kind. (C) 2009 Elsevier B. V. All rights reserved.
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页码：379 / 388
页数：10
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