Rogue waves in the basin of intermediate depth and the possibility of their formation due to the modulational instability
I. I. Didenkulova+*, I. F. Nikolkina+, E. N. Pelinovsky×
+Institute of Cybernetics at Tallinn University of Technology, 12618 Tallinn, Estonia
*MARUM - Center for Marine Environmental Sciences, University of Bremen, D-28359 Bremen, Germany
×Institute of Applied Physics of the RAS, 603600 N.Novgorod, Russia
Abstract
Properties of rogue waves in the basin of intermediate depth
are discussed in comparison with known properties of rogue waves in deep waters.
Based on observations of rogue waves in the ocean of intermediate depth
we demonstrate that the modulational instability can still play a significant role
in their formation for basins of 20 m and larger depth.
For basins of smaller depth, the influence of modulational instability
is less probable.
By using the rational solutions of the nonlinear Schrödinger equation (breathers),
it is shown that the rogue wave packet becomes wider and contains
more individual waves in intermediate rather than in deep waters,
which is also confirmed by observations.