Unified Theory Based on Parameter Scaling for Derivation of Nonlinear Wave Equations in Bubbly Liquids

Unified Theory Based on Parameter Scaling for Derivation of Nonlinear Wave Equations in Bubbly Liquids

We propose a systematic derivation method of the Korteweg-de Vries-Burgers (KdVB) equation and nonlinear Schrödinger (NLS) equation for nonlinear waves in bubbly liquids on the basis of appropriate choices of scaling relations of physical parameters. The basic equations are composed of a se...

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Bibliographic Details
Main Authors: Tetsuya KANAGAWA, Takeru YANO, Masao WATANABE, Shigeo FUJIKAWA
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2010-07-01
Series:Journal of Fluid Science and Technology
Subjects:
weakly nonlinear waves
dispersive waves
bubbly liquids
bubble dynamics
kdv-burgers equation
nonlinear schrödinger equation
Online Access:https://www.jstage.jst.go.jp/article/jfst/5/3/5_3_351/_pdf/-char/en

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https://www.jstage.jst.go.jp/article/jfst/5/3/5_3_351/_pdf/-char/en

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