中文摘要：

Linear surface gravity waves on a semi-infinite incompressible Voigtmedium are studied in this paper.Three dimensionless parameters,the dimensionlessviscoelastic parameter ,the dimensionless wave number and the dimensionless sur-face tension are introduced.A dimensionless characteristic equation describing thewaves is derived.This is a sixth order complex algebraic equation which is solved togive the complex dispersion relation.Based on the numerical solution, two criticalvalues of ,_A=0.607 and _R=2.380,which represent the appearance of the cutoffregion and the disappearance of the strong dispersion region,are found.The effectsof on the characteristic equation and the properties of the waves are discussed.