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Based on the AfKdV equation of Xu et al.,a theory on the veloci-ties of the precursor soliton generation in two-layer flow over topography is presentedin the present paper.Moving velocities of precursor solitons,of the first zero-crossingof the tailing wavetrain and of the flow behind the topography are found theoretically.It is shown that for a given topography,when its moving velocities are at the resonantpoints,we have the following rules:the ratio of the moving velocity of the precursorsolitons to that of the first zero-crossing of the tailing wavetrain equals-4/3.At thesame time,the ratio of the width of generating region of the precursor solitons to thatof the depressed water region equals also -4/3.The theoretical results are examinedby means of numerical calculation.The comparison between the theoretical and nu-merical results are found in good agreement.For different stratified parameters oftwo-layer flow,the velocities of the precursor soliton generation are also predicted interms of the present theoretical results.
Based on the AfKdV equation of Xu et al., A theory on the veloci-ties of the precursor soliton generation in two-layer flow over topography is presented in the present paper. Motion velocities of precursor solitons, of the first zero-crossing of the tailing wavetrain and of the flow behind the topography are found theoretically. It’s shown that for a given topography, when its moving velocities are at the resonant point, we have the following rules: the ratio of the moving velocity of the precursorsolitons to that of the first zero-crossing of the tailing wavetrain equals-4 / 3.At thesame time, the ratio of the width of generating region of the precursor solitons to that of the depressed water region equals also -4 / 3.The theoretical results are examined by means of numerical calculation.The comparison between the theoretical and nu-merical results are found in good agreement. For different stratified parameters oftwo-layer flow, the velocities of the precursor soliton generation are also predicted in terms of the present theoretical results.