A Boussinesq system for two-way propagation of interfacial waves |
| |
Authors: | Hai Yen Nguyen |
| |
Institution: | CMLA, ENS Cachan, CNRS, PRES UniverSud, 61, avenue du Président Wilson, 94230 Cachan cedex, France |
| |
Abstract: | The theory of internal waves between two layers of immiscible fluids is important both for its applications in oceanography and engineering, and as a source of interesting mathematical model equations that exhibit nonlinearity and dispersion. A Boussinesq system for two-way propagation of interfacial waves in a rigid lid configuration is derived. In most cases, the nonlinearity is quadratic. However, when the square of the depth ratio is close to the density ratio, the coefficients of the quadratic nonlinearities become small and cubic nonlinearities must be considered. The propagation as well as the collision of solitary waves and/or fronts is studied numerically. |
| |
Keywords: | Boussinesq systems Interfacial waves Solitary waves Table-top solitary waves Korteweg-de Vries equation |
本文献已被 ScienceDirect 等数据库收录! |
|