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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