【摘要】 本文用多重尺度微扰方法研究了矩形波导中二水平固壁间两层不可压无粘流体界面上重力-表面张力波的非线性调制。将Larraza和Putterman的理论进行了推广,并计入了表面张力,得出了第一阶调制波满足非线性Schrodinger方程,求出了非传播孤波解,并对结果进行了讨论。更多还原

【Abstract】 We stutied the nonlinear modulation of the gravitation surface-tension waves on the interface between two layers of imcompressible inviscid fluids which are contained in a rectangular waveguide with horizontal solid walls, by the meth rd of multiple scales technique, and generalized the theory of Larraza and Putterman. Including the surface-tension effects, we found that the first order modulated wave satisfies the cubic Schrodinger equation. Then me derived the non-propagating solitary solution, and made some discussion on the results obtained.更多还原