考虑表面张力的非传播孤立波

本文考虑了表面张力,用多重尺度法导出了与立方 Schrodinger 方程相类似的非传播孤立波的基本方程,得到了非传播孤立波解。用毛细重力波理论解释了非传播孤立波横向谐振中波峰尖、波谷平的原因。在σ～kh 平面上首次给出了可产生非传播孤立波的二个参数区,但现有的实验点都在区域(1)中。

NON-PROPAGATING SOLITARY WAVES WITH THE CONSIDERATION OF SURFACE TENSION

In this paper, the governing equations for the non-propagating solitarywaves, similar to the cubic Schrodinger equation are derived by the multiple scale method with the consideration of surface tension. The non-propagating solitary waves solution is given. It is explained by the capillary-gravity wave theory that the crests are sharpened and the troughs are plattened in the transverse harmonic of the non-propagating solitary waves. On σ-kh plane, two parameter regions are gotten in which the non-propagatin...