In this paper,the governing equation for the non-propagating solitary waves,similar to the cubicSchr(?)dinger equation,is derived by the multiple scales with the consideration of surface tension.The non-propagatingsol...In this paper,the governing equation for the non-propagating solitary waves,similar to the cubicSchr(?)dinger equation,is derived by the multiple scales with the consideration of surface tension.The non-propagatingsolitary wave solution is given.It is explained by the capillary-gravity wave theory that the crests are sharpened and thetroughs are flattened in the transversal harmonic of the non-propagating solitary waves.On σ～kh plane,twoparameter regions are obtained in which the non-propagating solitary wave can occur,but all existing experimentalparameters are in region 1(Fig.1).展开更多
With the consideration of surface tension,two parameter regions for non-propagating solitary waves liave been found by theory and have been con&rmed by experiments.The parameters mentioned up to now in all experim...With the consideration of surface tension,two parameter regions for non-propagating solitary waves liave been found by theory and have been con&rmed by experiments.The parameters mentioned up to now in all experimental and theoretical articles are all in region(1).Region(2)is never reported before.展开更多
文摘In this paper,the governing equation for the non-propagating solitary waves,similar to the cubicSchr(?)dinger equation,is derived by the multiple scales with the consideration of surface tension.The non-propagatingsolitary wave solution is given.It is explained by the capillary-gravity wave theory that the crests are sharpened and thetroughs are flattened in the transversal harmonic of the non-propagating solitary waves.On σ～kh plane,twoparameter regions are obtained in which the non-propagating solitary wave can occur,but all existing experimentalparameters are in region 1(Fig.1).
文摘With the consideration of surface tension,two parameter regions for non-propagating solitary waves liave been found by theory and have been con&rmed by experiments.The parameters mentioned up to now in all experimental and theoretical articles are all in region(1).Region(2)is never reported before.
