Evolution of wave pulses in fully nonlinear shallow-water theory

被引：12
|
作者：
Ivanov, S. K. [1 ,2 ]
Kamchatnov, A. M. [1 ,2 ]
机构：
[1] Russian Acad Sci, Inst Spect, Moscow 108840, Russia
[2] Moscow Inst Phys & Technol, Inst Lane 9, Dolgoprudnyi 141701, Moscow Region, Russia
来源：
PHYSICS OF FLUIDS | 2019年 / 31卷 / 05期
关键词：
ZERO DISPERSION LIMIT; DE-VRIES EQUATION; ASYMPTOTIC SOLUTIONS; SHOCK-WAVES; PERTURBATION; PROPAGATION; BOUSSINESQ; DERIVATION; BREAKING;
D O I：
10.1063/1.5094695
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We consider evolution of wave pulses with formation of dispersive shock waves in framework of fully nonlinear shallow-water equations. Situations of initial elevations or initial dips on the water surface are treated, and motion of the dispersive shock edges is studied within the Whitham theory of modulations. Simple analytical formulas are obtained for asymptotic stage of evolution of initially localized pulses. Analytical results are confirmed by exact numerical solutions of the fully nonlinear shallow water equations. Published under license by ATP Publishing.
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页数：11
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