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HU DINGMING. 1986. ANALYTICAL SOLUTION FOR THE VELOCITY POTENTIAL OF LINEAR WAVES OVER SLOPING BEACHES. Acta Oceanologica Sinica, (1):1-14
ANALYTICAL SOLUTION FOR THE VELOCITY POTENTIAL OF LINEAR WAVES OVER SLOPING BEACHES
ANALYTICAL SOLUTION FOR THE VELOCITY POTENTIAL OF LINEAR WAVES OVER SLOPING BEACHES
Received:September 15, 1984  Revised:January 18, 1985
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HU DINGMING Shandong College of Oceanology, Qingdao 
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Abstract:
      An analytical solution for the velocity potential of linear waves traveling over sloping beaches is obtained in the present paper, the restriction to the solution, i.e.the cube of bottom slope α being negligible.When the terms of order of α2 are neglected, the solution is the same as that presented by Biesel in 1951[1].When the terms of order of α2 are retained, the wave dispersion relation is corrected.Forthermore, the solution corrected to any higher order of α can be obtained without difficulty by means of the disturbation method given by this paper1).
中文摘要:
      An analytical solution for the velocity potential of linear waves traveling over sloping beaches is obtained in the present paper, the restriction to the solution, i.e.the cube of bottom slope α being negligible.When the terms of order of α2 are neglected, the solution is the same as that presented by Biesel in 1951[1].When the terms of order of α2 are retained, the wave dispersion relation is corrected.Forthermore, the solution corrected to any higher order of α can be obtained without difficulty by means of the disturbation method given by this paper1).
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