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—It has been shown that Boussinesq-type equations,which include the lowest order effects ofnonlinearity and frequency dispersion,can provide an accurate description of wave evolution in coastal re-gions.But different linear dispersion characteristics of the equation can be obtained by different inte-grating method.In this paper,a new form of the Boussinesq equation is derived by use of two different lay-er horizontal velocity variables instead of the commonly used depth-averaged velocity or an arbitrary layervelocity.This significantly improves the linear dispersion properties of the Boussinesq equation and ena-bles it to be applied to a wider range of water depth.
-It has been shown that Boussinesq-type equations, which include the lowest order effects ofnonlinearity and frequency dispersion, can provide an accurate description of wave evolution in coastal re-gions.But different linear dispersion characteristics of the equation can be obtained by different intensions -grating method.In this paper, a new form of the Boussinesq equation is derived by use of two different lay-er horizontal velocity variables instead of the commonly used depth-averaged velocity or an arbitrary layer velocity. This significantly improves the linear dispersion properties of the Boussinesq equation and ena-bles it to be applied to a wider range of water depth.