Rogue waves in the basin of intermediate depth and the possibility of their formation due to the modulational instability

Pleiades Publishing Ltd - Tập 97 - Trang 194-198 - 2013
I. I. Didenkulova1,2,3, I. F. Nikolkina1,3, E. N. Pelinovsky3,4
1Institute of Cybernetics, Tallinn University of Technology, Tallinn, Estonia
2MARUM-Center for Marine Environmental Sciences, Bremen, Germany
3Nizhni Novgorod State Technical University, Nizhni Novgorod, Russia
4Institute of Applied Physics, Russian Academy of Sciences, Nizhni Novgorod, Russia

Tóm tắt

The 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 Schrodinger 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.

Tài liệu tham khảo

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