EVOLUTION OF MODULATED GRAVITY-WAVES IN WATER OF FINITE DEPTH

The evolution of a gravity wavetrain in water of finite depth is consi dered. It is shown that the dynamics can be distinguished as pseudo-in finite depth like and finite-depth like in the weakly nonlinear limit Two specific aspects of the weakly nonlinear dynamics, namely, the lin ear instability and the long-time evolution of the linearly unstable m odulation of a gravity wavetrain are considered.