Transformation of a solitary wave propagating over a Shelf

Abstract

<span style="font-size:11.0pt;font-family: " times="" new="" roman","serif";mso-fareast-font-family:pmingliu;mso-bidi-font-family:="" mangal;mso-ansi-language:en-gb;mso-fareast-language:en-us;mso-bidi-language:="" hi"="" lang="EN-GB">Transformation of single solitary wave passing over a semi-infinite shelf is investigated in this study. Considering the energy loss near the corner of the step, a semi-analytical solution to both the transmission and reflection coefficients is derived. Since the solitary wave will decompose to several solitons in the far field, the amplitudes of separated solitons are discussed as well. The results are very identical to those shown in previous studies. Furthermore, the appearance oscillatory tails appearing after split solitons are investigated by using the bilinear transformation method. Present calculations are very consistent with numerical and experimental results given by existing studies.</span>