Third-order Stokes wave solutions for interfacial internal waves in a three-layer density-stratified fluid  

作　　者：陈小刚 郭志萍 宋金宝 赫晓东 郭军明 包曙红 崔巍 

机构地区：[1]College of Science,Inner Mongolia University of Technology [2]Institute of Oceanology,Chinese Academy of Sciences [3]Teaching Department of Basic Sciences,Shanxi Water Technical Professional College [4]Chemical Engineering College,Inner Mongolia University of Technology

出　　处：《Chinese Physics B》2009年第5期1906-1916,共11页中国物理B（英文版）

基　　金：supported by the Natural Science Foundation of Inner Mongolia,China(Grant No 200711020116);Open Fund of the Key Laboratory of Ocean Circulation and Waves,Chinese Academy of Sciences(Grant No KLOCAW0805);the Key Program of the Scientific Research Plan of Inner Mongolia University of Technology,China(Grant No ZD200608);National Science Fund for Distinguished Young Scholars of China(Grant No 40425015)

摘　　要：Interracial 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 interracial waves. The wave velocity depends on not only the wave number and the depth of each layer but also on the wave amplitude.Interracial 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 interracial waves. The wave velocity depends on not only the wave number and the depth of each layer but also on the wave amplitude.

关 键 词：three-layer density-stratified fluid interracial internal waves third-order Stokes wavesolutions small amplitude wave theory 

分 类 号：O353[理学—流体力学]