NOTE ON CONSERVATION EQUATIONS FOR NONLINEAR SURFACE-WAVES

Euler's equations of motion in conjunction with the dynamic boundary c ondition are manipulated to obtain exact (and approximate) alternative momentum equations for nonlinear irrotational surface waves. The Airy and Boussinesq equations are re-derived as demonstrative examples. A fully nonlinear version of the improved Boussinesq equations is presen ted as a new application of the proposed equations. Further use of the equations in developing depth-integrated wave models, which are not n ecessarily restricted to finite depths, is also pointed out. (C) 1998 Elsevier Science Ltd. All rights reserved.