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周显初, 崔洪农, 向隆万. 考虑表面张力的非传播孤立波[J]. 力学学报, 1991, 23(6): 666-673. DOI: 10.6052/0459-1879-1991-6-1995-890
引用本文: 周显初, 崔洪农, 向隆万. 考虑表面张力的非传播孤立波[J]. 力学学报, 1991, 23(6): 666-673. DOI: 10.6052/0459-1879-1991-6-1995-890
NON-PROPAGATING SOLITARY WAVES WITH THE CONSIDERATION OF SURFACE TENSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(6): 666-673. DOI: 10.6052/0459-1879-1991-6-1995-890
Citation: NON-PROPAGATING SOLITARY WAVES WITH THE CONSIDERATION OF SURFACE TENSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(6): 666-673. DOI: 10.6052/0459-1879-1991-6-1995-890

考虑表面张力的非传播孤立波

NON-PROPAGATING SOLITARY WAVES WITH THE CONSIDERATION OF SURFACE TENSION

  • 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。

     

    Abstract: 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...

     

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