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

  • Plasma, Hydro- and Gas Dynamics
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Abstract

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.

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Authors and Affiliations

  1. Institute of Cybernetics, Tallinn University of Technology, 12618, Tallinn, Estonia

    I. I. Didenkulova & I. F. Nikolkina

  2. MARUM-Center for Marine Environmental Sciences, 28359, Bremen, Germany

    I. I. Didenkulova

  3. Nizhni Novgorod State Technical University, Nizhni Novgorod, 603950, Russia

    I. I. Didenkulova, I. F. Nikolkina & E. N. Pelinovsky

  4. Institute of Applied Physics, Russian Academy of Sciences, Nizhni Novgorod, 603950, Russia

    E. N. Pelinovsky

Authors
  1. I. I. Didenkulova
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  2. I. F. Nikolkina
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  3. E. N. Pelinovsky
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Correspondence to I. I. Didenkulova.

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Didenkulova, I.I., Nikolkina, I.F. & Pelinovsky, E.N. Rogue waves in the basin of intermediate depth and the possibility of their formation due to the modulational instability. Jetp Lett. 97, 194–198 (2013). https://doi.org/10.1134/S0021364013040024

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  • DOI: https://doi.org/10.1134/S0021364013040024

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