Whether there is the shelf behind the soliton of the KdV equation with corrections is one of central problems debated recently in the theory of solition Some accurate solutions to the KdV equations with special corrections are derived concisely In the end,it is shown that there are not the shelves behind the soliton of the

Small amplitude travelling wave solitons in biased photorefractive crystal;

Effects of solitary internal wave on horizontal longitudinal coherence of shallow-water acoustic fields;