Propagation of nonlinear waves in an inhomogeneous gas-liquid medium. Derivation of wave equations in the Korteweg-de Vries approximation

被引：5

作者：

Lugovtsov, A. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Kutateladze Inst Thermal Phys, Siberian Div, Novosibirsk 630090, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2009年 / 50卷 / 02期

关键词：

bubble liquid; inhomogeneous medium; continuous propagation; wave equation;

D O I：

10.1007/s10808-009-0044-8

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Equations describing the propagation of waves of small but finite amplitude in a liquid with gas bubbles are derived. The bubble distribution density is a continuous function of bubble size and spatial coordinates. It is found that, for a uniform bubble distribution, the obtained equations become the Korteweg-de Vries, Kadomtsev-Petviashvili and Khokhlov-Zabolotskaya equations.

引用

页码：327 / 335

页数：9