A MODIFIED STATIONARY PRINCIPLE FOR NONLINEAR WAVES

被引：5

作者：

BISSHOPP, F

机构：

[1] Division of Applied Mathematics, Brown University, Providence

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1969年 / 5卷 / 03期

关键词：

D O I：

10.1016/0022-0396(69)90096-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two theorems related to propagation of modulated, nonlinear waves which are governed by stationarity of the integral of a Lagrangian density are derived. They are then used in the analysis of asymptotic approximations which represent nearly uniform wave trains. A relatively detailed treatment of a simple case is followed by a summary of some results which apply to the propagation of capillary-gravity waves in a liquid. © 1969.

引用

页码：592 / &

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WHITHAM, GB .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1965, 283 (1393) :238-&

[7]

WHITHAM GB, 1966, J SIAM APPL MATH, V14, P956

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