Cauchy invariants and exact solutions of nonlinear equations of hydrodynamics

被引：0
|
作者：
Abrashkin, A. A. [1 ,2 ]
Pelinovsky, E. N. [1 ,2 ]
机构：
[1] Natl Res Univ Higher Sch Econ, Nizhnii Novgorod, Russia
[2] Russian Acad Sci, Inst Appl Phys, Fed Res Ctr, Nizhnii Novgorod, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2023年 / 215卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
Lagrangian coordinates; Cauchy invariants; Gerstner wave; FORMULATION; PRESSURE; WAVES;
D O I：
10.1134/S004057792305001X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We review exact solutions for gravity waves in deep water. All of them are obtained within the Lagrangian framework and are generalizations of Gerstner waves (to the cases of inhomogeneous pressure on the free surface and taking the rotation of the fluid into account). The Cauchy invariants are found for each type of waves.
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页码：599 / 608
页数：10
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