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Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system |
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| Authors: | YANG Hongli YANG Liangui SONG Jinbao and Hou Yijun |
| Institution: | 1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences, Qingdao 266071, China 2. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China 3. Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences, Qingdao 266071, China |
| Abstract: | Interfacial waves propagating along the interface between a three-dimensional two-fluid system with a rigid upper boundary and an uneven bottom are considered. There is a light fluid layer overlying a heavier one in the system, and a small density difference exists between the two layers. A set of higher-order Boussinesq-type equations in terms of the depth-averaged velocities accounting for stronger nonlinearity are derived. When the small parameter measuring frequency dispersion keeping up to lower-order ... |
| Keywords: | two-layer fluid interfacial waves Boussinesq-type equations enhanced equations fully nonlinear |
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