Third-order Stokes wave solutions for interfacial internal waves in a three-layer dendity-stratified fluid
Chen Xiao-Gang(陈小刚)a)b)†, Guo Zhi-Ping(郭志萍)a)c), Song Jin-Bao(宋金宝)b), He Xiao-Dong(赫晓东)d), Guo Jun-Ming(郭军明)a), Bao Shu-Hong(包曙红)a), and Cui Wei(崔巍)a)
aCollege of Science, Inner Mongolia University of Technology, Hohhot 010051, China; b Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China; c Teaching Department of Basic Sciences, Shanxi Water Technical Professional College, Shanxi 044004, China; dChemical Engineering College, Inner Mongolia University of Technology, Hohhot 010051, China
Abstract Interfacial internal waves in a three-layer density-stratified fluid are investigated using a singular perturbation method, and third-order asymptotic solutions of the velocity potentials and third-order Stokes wave solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory. As expected, the third-order solutions describe the third-order nonlinear modification and the third-order nonlinear interactions between the interfacial waves. The wave velocity depends on not only the wave number and the depth of each layer but also on the wave amplitude.
Received: 18 August 2008
Revised: 31 October 2008
Accepted manuscript online:
Fund: Project supported by
the Natural Science Foundation of Inner Mongolia, China (Grant No
200711020116), and Open Fund of the Key Laboratory of Ocean
Circulation and Waves, Chinese Academy of Sciences (Grant No
KLOCAW0805), and the Key Program of the Scienti
Cite this article:
Chen Xiao-Gang(陈小刚), Guo Zhi-Ping(郭志萍), Song Jin-Bao(宋金宝), He Xiao-Dong(赫晓东), Guo Jun-Ming(郭军明), Bao Shu-Hong(包曙红), and Cui Wei(崔巍) Third-order Stokes wave solutions for interfacial internal waves in a three-layer dendity-stratified fluid 2009 Chin. Phys. B 18 1906
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
