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

doi:10.1088/1674-1056/20/12/120203

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120203-120203.doi: 10.1088/1674-1056/20/12/120203

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

杨红卫¹, 尹宝树², 杨徳周², 徐振华²

(1)College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China; (2)Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China

收稿日期:2011-05-10 修回日期:2011-07-18 出版日期:2011-12-15 发布日期:2011-12-15
基金资助:
Project supported by the Knowledge Innovation Key Program of the Chinese Academy of Sciences (Grant No. KZCX1-YW-12) and the National Key Science Foundation of China (Grant No. 41030855).

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

Yang Hong-Wei(杨红卫)^a), Yin Bao-Shu(尹宝树)^b)c)†, Yang De-Zhou(杨徳周)^b)c), and Xu Zhen-Hua(徐振华)^b)c)

^a College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China; ^b Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China; ^cKey Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China

Received:2011-05-10 Revised:2011-07-18 Online:2011-12-15 Published:2011-12-15
Supported by:
Project supported by the Knowledge Innovation Key Program of the Chinese Academy of Sciences (Grant No. KZCX1-YW-12) and the National Key Science Foundation of China (Grant No. 41030855).

摘要/Abstract

摘要： 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.

关键词: slowly varying topography, dissipation, generalized inhomogeneous Korteweg-de Vries(KdV)-Burgers equation, forced solitary Rossby waves

Abstract: 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.

Key words: slowly varying topography, dissipation, generalized inhomogeneous Korteweg-de Vries(KdV)-Burgers equation, forced solitary Rossby waves

中图分类号: (Partial differential equations)

02.30.Jr

47.35.Fg (Solitary waves) 92.10.Hm (Ocean waves and oscillations)

杨红卫, 尹宝树, 杨徳周, 徐振华. Forced solitary Rossby waves under the influence of slowly varying topography with time[J]. 中国物理B, 2011, 20(12): 120203-120203.

Yang Hong-Wei(杨红卫), Yin Bao-Shu(尹宝树), Yang De-Zhou(杨徳周), and Xu Zhen-Hua(徐振华) . Forced solitary Rossby waves under the influence of slowly varying topography with time[J]. Chin. Phys. B, 2011, 20(12): 120203-120203.

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

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

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