Didenkulova I., Pelinovsky E., Rodin A.
Formation of extreme waves (rogue waves) in a basin of constant depth is studied in the framework of nonlin-ear shallow water theory. It is shown that unidirectional propagation of non-breaking waves does not lead to the increase in the probability of rogue wave occurrence, though the wave field deviates from Gaussian. Wave breaking effects do not influence on this result, although in the case of large-amplitude waves the reflected wave appears and in the case of irregular wave field it may contribute to the formation of rogue wave as the result of wave collision. At the same time the collision of long irregular waves with a smooth profile and wave collision with a vertical wall increases the probability of rogue wave occurrence. The contribution of the wave breaking in this case is studied for different scenarios of wave collision for waves of different amplitudes.