Abstract. Unexpectedly large displacements in the interior of the
oceans are studied through the dynamics of packets of internal waves, where
the evolution of these displacements is governed by the nonlinear Schrödinger equation.
In cases with a constant buoyancy frequency, analytical treatment can be performed. While
modulation instability in surface wave packets only arises for sufficiently
deep water, “rogue” internal waves may occur in shallow water and
intermediate depth regimes. A dependence on the stratification parameter
and the choice of internal modes can be demonstrated explicitly. The spontaneous
generation of rogue waves is tested here via numerical simulation.
Omnipresent coexistence of rogue waves in a nonlinear two-wave interference system and its explanation by modulation instability
