RESONANCE WAVE INTERACTIONS IN A WEAKLY VISCOUS-LIQUID

A study is made of non-linear wave interactions in a weakly viscous li quid. Using the averaged variational method, new Interaction equations are derived. It is shown that results of this paper reduce to those o btained earlier for weak second-order resonant interactions in the lim it as viscosity nu --> 0. The Lax-Wendroff method having second-order accuracy with respect to space and time is chosen for numerical calcul ations because the method does not depend on the direction of wave pro pagation or domains of dependence. The non-linear resonant evolution o f amplitude triads has been investigated for different values of visco sity, Numerical results with graphical representations are presented i n some detail. (C) 1998 Elsevier Science Ltd. All rights reserved.