Rogue wave theorem

Rogue wave theorem

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The rogue wave theorem [1] suggests that a rogue wave in the ocean can be formed whenever:

a) there is a momentaneous surplus of energy perturbed on the momentum or in the kinetic term of a wave train, induced either by a sudden change in the atmosphere leading to strong winds appearing suddenly over large volumes of water.

b) there is a collision of large volumes of water with highly different temperatures and densities.

c) there is a constructive overlap of waves, in opposite directions, in traverse directions or running in the same direction, and the duration of the rogue wave is determined, when occurring in the same direction, by the slight deviations in the momenta of the overlapping waves.