Streamline pattern of a solitary wave?

[hanson]

Hi all!
How shall a streamline pattern of a solitary wave look like?
I can hardly find people plotting and discussing this, how this is the case?
It shall be reasonable to ask for the streamline pattern of a solitary wave, isn't it?
If I want to plot the velocity field of the solitary wave, all I basically need is to work out the velocity field after obtaining the surface evolution equation, isn't it?

 

[Chris Hillman]

Are you asking for the velocity field of a shallow water wave corresponding to a traveling wave solution of the KdV equation? I already pointed out that the sech solitons are not the only wave solutions. See Drazin and Johnson.