Forced solitary Rossby waves under the influence of slowly varying topography with time

By using a weakly nonlinear and perturbation method, the generalized inhomogeneous Korteweg de Vries （KdV）- Burgers equation is derived, which governs the evolution of the amplitude of Rossby waves under the influence of dissipation and slowly varying topography with time. The analysis indicates tha...

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Published inChinese physics B Vol. 20; no. 12; pp. 26 - 30
Main Author 杨红卫 尹宝树 杨德周 徐振华
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2011
Subjects
Amplitudes
Burgers方程
Dissipation
Evolution
Mathematical analysis
Nonlinearity
Perturbation methods
Rossby波
Solitary waves
Topography
地形
孤立波
广义KdV方程
弱非线性
慢变
时间
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/20/12/120203

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Summary:By using a weakly nonlinear and perturbation method, the generalized inhomogeneous Korteweg de Vries （KdV）- Burgers equation is derived, which governs the evolution of the amplitude of Rossby waves under the influence of dissipation and slowly varying topography with time. The analysis indicates that dissipation and slowly varying topography with time are important factors in causing variation in the mass and energy of solitary waves.
Bibliography:By using a weakly nonlinear and perturbation method, the generalized inhomogeneous Korteweg de Vries （KdV）- Burgers equation is derived, which governs the evolution of the amplitude of Rossby waves under the influence of dissipation and slowly varying topography with time. The analysis indicates that dissipation and slowly varying topography with time are important factors in causing variation in the mass and energy of solitary waves.
slowly varying topography, dissipation, generalized inhomogeneous Korteweg-deVries（KdV）-Burgers equation, forced solitary Rossby waves
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/20/12/120203