Rogue Waves in the Ocean, the Role of Modulational . . .
245
7. Bitner-Gregersen, E. M., Fernandez, L., Lefèvre, J. M., Monbaliu, J., & Toffoli, A. (2014).
The North Sea Andrea storm and numerical simulations. Natural Hazards and Earth System
Science, 14, 1407–1415.
8. Cavaleri, L., Barbariol, F., Benetazzo, A., Bertotti, L., Bidlot, J. R., Janssen, P., et al. (2016).
The Draupner wave: A fresh look and the emerging view. Journal of Geophysical Research:
Oceans, 121, 6061–6075.
9. Chabchoub, A., Hoffmann, N. P., & Akhmediev, N. (2011). Rogue wave observation in a water
wave tank. Physical Review Letters, 106, 204,502.
10. Chabchoub, A., Akhmediev, N., & Hoffmann, N. P. (2012). Experimental study of spatiotemporally localized surface gravity water waves. Physical Review Letters, 86, 016,311.
11. Chabchoub, A., Kibler, B., Dudley, J. M., & Akhmediev, N. (2014). Hydrodynamics of periodic
breathers. Philosophical Transactions of the Royal Society of London A, 372, 20140,005.
12. Crawford, D. R., Saffman, P. G., & Yuen, H. C. (1980). Evolution of a random inhomogeneous
field of nonlinear deep-water gravity waves. Wave Motion, 2, 1–16.
13. Davey, A. (1972). The propagation of a weak nonlinear wave. Journal of Fluid Mechanics, 53,
769–781.
14. Dommermuth, D. (2000). The initialization of nonlinear waves using an adjustment scheme.
Wave Motion, 32, 307–317.
15. Donelan, M. A., & Magnusson, A. K. (2017). The making of the Andrea wave and other rogues.
Scientific Reports, 7, 44,124.
16. Draper, L. (1964). ‘Freak’ ocean waves. Oceanus, 10, 13–15.
17. Dysthe, K., Krogstad, H. E., & Müller, P. (2008). Oceanic rogue waves. Annual Review of Fluid
Mechanics, 40, 287–310.
18. Dysthe, K. B. (1979). Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Proceedings of the Royal Society of London A, 369, 105–114.
19. Dysthe, K. B., & Trulsen, K. (1999). Note on breather type solutions of the NLS as models for
freak-waves. Physica Scripta, T82, 48–52.
20. Fedele, F., Brennan, J., Ponce de León, S., Dudley, J., & Dias, F. (2016). Real world ocean
rogue waves explained without the modulational instability. Scientific Reports, 6, 27,715.
21. Gramstad, O., & Trulsen, K. (2007). Influence of crest and group length on the occurrence of
freak waves. Journal of Fluid Mechanics, 582, 463–472.
22. Gramstad, O., Zeng, H., Trulsen, K., & Pedersen, G. K. (2013). Freak waves in weakly nonlinear unidirectional wave trains over a sloping bottom in shallow water. Physics of Fluid, 25,
122103.
23. Hasimoto, H., & Ono, H. (1972). Nonlinear modulation of gravity waves. Journal of the Physical Society of Japan, 33, 805–811.
24. Haver, S. (2000). Evidences of the existence of freak waves. In: 2000 Rogue Waves (pp. 129–
140). Ifremer.
25. Haver, S. (2004). A possible freak wave event measured at the Draupner jacket Januar 1 1995.
Rogue Waves, 2004, 1–8.
26. Janssen, P. A. E. M. (2003). Nonlinear four-wave interactions and freak waves. Journal of
Physical Oceanography, 33, 863–884.
27. Kharif, C., Pelinovsky, E., Slunyaev, A. (2009). Rogue waves in the ocean. Springer
28. Kuznetsov, E. A. (1977). Solitons in a parametrically unstable plasma. Soviet physics, Doklady,
22, 507–508.
29. Longuet-Higgins, M. S. (1963). The effect of non-linearities on statistical distributions in the
theory of sea waves. Journal of Fluid Mechanics, 17, 459–480.
30. Ma, Y. C. (1979). The perturbed plane-wave solutions of the cubic Schrödinger equation. Studies in Applied Mathematics, 60, 43–58.
31. Magnusson, A. K., & Donelan, M. A. (2013). The Andrea wave characteristics of a measured
North Sea rogue wave. Journal of Offshore Mechanics and Arctic Engineering, 135, 031,108.
32. Mallory, J. K. (1974). Abnormal waves on the south east coast of South Africa. The International Hydrographic Review, 51, 99–129.
245
7. Bitner-Gregersen, E. M., Fernandez, L., Lefèvre, J. M., Monbaliu, J., & Toffoli, A. (2014).
The North Sea Andrea storm and numerical simulations. Natural Hazards and Earth System
Science, 14, 1407–1415.
8. Cavaleri, L., Barbariol, F., Benetazzo, A., Bertotti, L., Bidlot, J. R., Janssen, P., et al. (2016).
The Draupner wave: A fresh look and the emerging view. Journal of Geophysical Research:
Oceans, 121, 6061–6075.
9. Chabchoub, A., Hoffmann, N. P., & Akhmediev, N. (2011). Rogue wave observation in a water
wave tank. Physical Review Letters, 106, 204,502.
10. Chabchoub, A., Akhmediev, N., & Hoffmann, N. P. (2012). Experimental study of spatiotemporally localized surface gravity water waves. Physical Review Letters, 86, 016,311.
11. Chabchoub, A., Kibler, B., Dudley, J. M., & Akhmediev, N. (2014). Hydrodynamics of periodic
breathers. Philosophical Transactions of the Royal Society of London A, 372, 20140,005.
12. Crawford, D. R., Saffman, P. G., & Yuen, H. C. (1980). Evolution of a random inhomogeneous
field of nonlinear deep-water gravity waves. Wave Motion, 2, 1–16.
13. Davey, A. (1972). The propagation of a weak nonlinear wave. Journal of Fluid Mechanics, 53,
769–781.
14. Dommermuth, D. (2000). The initialization of nonlinear waves using an adjustment scheme.
Wave Motion, 32, 307–317.
15. Donelan, M. A., & Magnusson, A. K. (2017). The making of the Andrea wave and other rogues.
Scientific Reports, 7, 44,124.
16. Draper, L. (1964). ‘Freak’ ocean waves. Oceanus, 10, 13–15.
17. Dysthe, K., Krogstad, H. E., & Müller, P. (2008). Oceanic rogue waves. Annual Review of Fluid
Mechanics, 40, 287–310.
18. Dysthe, K. B. (1979). Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Proceedings of the Royal Society of London A, 369, 105–114.
19. Dysthe, K. B., & Trulsen, K. (1999). Note on breather type solutions of the NLS as models for
freak-waves. Physica Scripta, T82, 48–52.
20. Fedele, F., Brennan, J., Ponce de León, S., Dudley, J., & Dias, F. (2016). Real world ocean
rogue waves explained without the modulational instability. Scientific Reports, 6, 27,715.
21. Gramstad, O., & Trulsen, K. (2007). Influence of crest and group length on the occurrence of
freak waves. Journal of Fluid Mechanics, 582, 463–472.
22. Gramstad, O., Zeng, H., Trulsen, K., & Pedersen, G. K. (2013). Freak waves in weakly nonlinear unidirectional wave trains over a sloping bottom in shallow water. Physics of Fluid, 25,
122103.
23. Hasimoto, H., & Ono, H. (1972). Nonlinear modulation of gravity waves. Journal of the Physical Society of Japan, 33, 805–811.
24. Haver, S. (2000). Evidences of the existence of freak waves. In: 2000 Rogue Waves (pp. 129–
140). Ifremer.
25. Haver, S. (2004). A possible freak wave event measured at the Draupner jacket Januar 1 1995.
Rogue Waves, 2004, 1–8.
26. Janssen, P. A. E. M. (2003). Nonlinear four-wave interactions and freak waves. Journal of
Physical Oceanography, 33, 863–884.
27. Kharif, C., Pelinovsky, E., Slunyaev, A. (2009). Rogue waves in the ocean. Springer
28. Kuznetsov, E. A. (1977). Solitons in a parametrically unstable plasma. Soviet physics, Doklady,
22, 507–508.
29. Longuet-Higgins, M. S. (1963). The effect of non-linearities on statistical distributions in the
theory of sea waves. Journal of Fluid Mechanics, 17, 459–480.
30. Ma, Y. C. (1979). The perturbed plane-wave solutions of the cubic Schrödinger equation. Studies in Applied Mathematics, 60, 43–58.
31. Magnusson, A. K., & Donelan, M. A. (2013). The Andrea wave characteristics of a measured
North Sea rogue wave. Journal of Offshore Mechanics and Arctic Engineering, 135, 031,108.
32. Mallory, J. K. (1974). Abnormal waves on the south east coast of South Africa. The International Hydrographic Review, 51, 99–129.