WIT Press


The Linear And Nonlinear Properties Of The High-order Boussinesq Equations For Wave Propagation

Price

Free (open access)

Paper DOI

10.2495/AFM040191

Volume

45

Pages

10

Published

2004

Size

310 kb

Author(s)

C.H. Kong & C.M. Liu

Abstract

A study of the Boussinesq equations for waves propagating from deep water to shallow water is presented. In this paper, we rederive the Boussinesq equations with the recursion form not only appearing in the main variables but in the coefficients. This greatly reduces the efforts of the derivation of the higher-order Boussinesq equations. Parameters concerning the linear and nonlinear wave properties are also derived to analyze the accuracy of the present models. The linear properties include the phase velocity, the group velocity and the particle velocities. The forcing terms of the continuity equation and the equation of motion are developed to analyze the nonlinear properties. By choosing a suitable water-depth par

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