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Chin. Phys. B, 2009, Vol. 18(5): 1906-1916    DOI: 10.1088/1674-1056/18/5/031
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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)
a College 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; d Chemical 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.
Keywords:  three-layer density-stratified fluid      interfacial internal waves      third-order Stokes wave solutions      small amplitude wave theory  
Received:  18 August 2008      Revised:  31 October 2008      Accepted manuscript online: 
PACS:  47.55.Hd (Stratified flows)  
  47.35.-i (Hydrodynamic waves)  
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

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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

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