A NEW SOLITARY WAVE SOLUTION FOR WATER-WAVES WITH SURFACE-TENSION

被引:6
|
作者
SUN, SM
SHEN, MC
机构
[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706
[2] UNIV WISCONSIN,CTR MATH SCI,MADISON,WI 53706
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关键词
D O I
10.1007/BF01760005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we show that when the Froude number is less than but close to 1 and the Bond number is greater than but close to 1/3 there exists a new solitary wave solution for surface waves on water with surface tension. An approximate expression for the new solitary wave solution, which satisfies a fourth order ordinary differential equation and represents a wave of depression is presented.
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页码:179 / 214
页数:36
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