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Third-order Stokes wave solutions for interfacial internalwaves in three-layer dendity-stratified fluid |
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| Authors: | Chen Xiao-Gang Guo Zhi-Ping Song Jin-Bao He Xiao-Dong Guo Jun-Ming Bao Shu-Hong Cui Wei |
| Affiliation: | Chemical Engineering College, Inner Mongolia Universityof Technology, Hohhot 010051, China; College of Science, Inner Mongolia University ofTechnology, Hohhot 010051, China; College of Science, Inner Mongolia University ofTechnology, Hohhot 010051, China;Institute of Oceanology, Chinese Academy of Sciences,Qingdao 266071,China; College of Science, Inner Mongolia University ofTechnology, Hohhot 010051, China;Teaching Department of Basic Sciences, Shanxi WaterTechnicalProf |
| Abstract: | Interfacial internal waves in a three-layer density-stratifiedfluid are investigated using a singular perturbation method, andthird-order asymptotic solutions of the velocity potentials andthird-order Stokes wave solutions of the associated elevationsof the interfacial waves are presented based on the small amplitudewave theory. As expected, the third-order solutions describe thethird-order nonlinear modification and the third-order nonlinearinteractions between the interfacial waves. The wave velocitydepends on not only the wave number and the depth of each layer butalso on the wave amplitude. |
| Keywords: | three-layer density-stratifiedfluid interfacial internal waves third-order Stokes wavesolutions small amplitude wave theory |
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