考虑表面张力的非传播孤立波  

NON-PROPAGATING SOLITARY WAVES WITH THE CONSIDERATION OF SURFACE TENSION

作　　者：周显初[1] 崔洪农[2] 向隆万[3] 

机构地区：[1]中国科学院力学研究所非线性连续介质力学开放实验室,北京100080 [2]湘潭大学物理系 [3]上海交通大学应用数学系

出　　处：《力学学报》1991年第6期666-673,共8页Chinese Journal of Theoretical and Applied Mechanics

摘　　要：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。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-propagating solitary waves can occur, but all the experimental parameters lie in the region 1.

关 键 词：非传播孤立波 表面张力 毛细重力波 

分 类 号：O353.2[理学—流体力学]