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Rogue waves in the sea: observations, physics, and mathematics

†  a, b, ‡  b, c, §  a, b
a National Research University Higher School of Economics, Nizhny Novgorod Branch, B. Pecherskaya str. 25/12, Nizhny Novgorod, 603155, Russian Federation
b Institute of Applied Physics, Russian Academy of Sciences, Moscow, Russian Federation
c McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S4L8, Canada

Rogue waves are anomalously high waves that may suddenly form on the sea surface. At the dawn of the 21st century, they attracted the interest of researchers, from oceanographers to mathematicians. The review discusses the results of their research: physical mechanisms leading to the generation of anomalously high waves and respective mathematical models, observational data, results of direct numerical simulations and laboratory experiments, and new approaches to modeling and forecasting extreme sea waves.

Fulltext pdf (1.1 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2021.08.039038
Keywords: rogue waves, freak waves, sea wind waves, nonlinear waves
PACS: 05.45.−a, 92.10.Hm (all)
DOI: 10.3367/UFNe.2021.08.039038
URL: https://ufn.ru/en/articles/2023/2/b/
001097218300002
2-s2.0-85135972312
2023PhyU...66..148S
Citation: Slunyaev A V, Pelinovsky D E, Pelinovsky E N "Rogue waves in the sea: observations, physics, and mathematics" Phys. Usp. 66 148–172 (2023)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 24th, July 2021, revised: 6th, August 2021, 7th, August 2021

Оригинал: Слюняев А В, Пелиновский Д Е, Пелиновский Е Н «Морские волны-убийцы: наблюдения, физика и математика» УФН 193 155–181 (2023); DOI: 10.3367/UFNr.2021.08.039038

References (274) ↓ Cited by (15) Similar articles (20)

  1. Draper L Oceanus 10 13 (1964)
  2. Mallory J K Int. Hydrographic Rev. 51 (2) 99 (1974)
  3. Tørum A, Gudmestad O T (Eds) Water Wave Kinematics (Dordrecht: Kluwer Acad. Publ., 1990)
  4. Lopatukhin L I et al Nauchno-Tekh. Sb. Ross. Morskogo Registra Sudokhodstva (26) 65 (2003)
  5. Kharif C, Pelinovsky E, Slunyaev A Rogue Waves In The Ocean (Berlin: Springer, 2009)
  6. Grigor’ev V G, Gulev S K Fundament. Priklad. Geofiz. 4 (4) 18 (2011)
  7. Dyachenko A I et al "Volny-ubiitsy i zadachi ikh issledovaniya (Rogue waves and their studies)" Mirovoi Okean (The World Ocean) Vol. 1 Geologiya I Tektonika Okeana. Katastroficheskie Yavleniya V Okeane (Geology And Tectorials Of The Ocean. Catastrophic Phenomena In The Ocean, Gen. Ed. L I Lobkovsky) (Moscow: Nauchnyi Mir, 2013)
  8. Didenkulova E G Ocean Coastal Management 188 105076 (2020)
  9. Nikolkina I, Didenkulova I Nat. Hazards Earth Syst. Sci. 11 2913 (2011)
  10. Didenkulova E G, Pelinovsky E N Dokl. Earth Sci. 491 187 (2020); Didenkulova E G, Pelinovsky E N Dokl. Ross. Akad. Nauk 491 97 (2020)
  11. Kurkin A A, Pelinovsky E N Volny-Ubiitsy: Fakty, Teoriya I Modelirovanie (Rogue Waves, Facts, Theory And Modeling) (Nizhny Novgorog: Nizhegor. Gos. Tekh. Univ., 2004)
  12. Dotsenko S F, Ivanov V A Volny-Ubiitsy (Rogue Waves) (Sevastopol’: MGI NANU, 2006)
  13. Shamin R V Matematicheskie Voprosy Voln-Ubiits (Mathematical Questions Of Rogue Waves, Synergetics: From The Past To The Future, No 76) (Moscow: LENAND, 2016)
  14. Guo B et al Rogue Waves: Mathematical Theory And Applications In Physics (Berlin: Walter de Gruyter GmbH, Hangzhou: Zhejiang Science and Technology Press, 2017)
  15. Dysthe K, Krogstad H E, Müller P Annu. Rev. Fluid Mech. 40 287 (2008)
  16. Slunyaev A, Didenkulova I, Pelinovsky E Contemp. Phys. 52 571 (2011)
  17. Onorato M et al Phys. Rep. 528 47 (2013)
  18. Adcock T A A, Taylor P H Rep. Prog. Phys. 77 105901 (2014)
  19. Slunyaev A V Moscow Univ. Phys. Bull. 72 236 (2017); Slunyaev A V Vestn. Mosk. Univ. Ser. 3 Fiz. Astron. (3) 33 (2017)
  20. Akhmediev N, Pelinovsky E Eur. Phys. J. Spec. Top. 185 1 (2010)
  21. Dudley J M et al Nat. Photon. 8 755 (2014)
  22. Dudley J M et al Nat. Rev. Phys. 1 675 (2019)
  23. Holthuijsen L H Waves In Oceanic And Coastal Waters (Cambridge: Cambridge Univ. Press, 2007)
  24. Haver S Rogue Waves 2004, Proc. of a Workshop, Brest, France, 20-22 October 2004 (Eds M Olagnon, M Prevosto) (Brest: Ifremer, 2005)
  25. Massel S R Ocean Surface Waves: Their Physics And Prediction (Singapore: World Scientific, 1996)
  26. Zakharov V E J. Appl. Mech. Tech. Phys. 9 190 (1968); Zakharov V E Priklad. Mekh. Tekh. Fiz. (2) 86 (1968)
  27. Zakharov V E, Ostrovsky L A Physica D 238 540 (2009)
  28. Osborne A R Nonlinear Ocean Waves And The Inverse Scattering Transform (New York: Academic Press, 2010)
  29. Henderson K L, Peregrine D H, Dold J W Wave Motion 29 341 (1999)
  30. Dysthe K B, Trulsen K Phys. Scr. (T82) 48 (1999)
  31. Kuznetsov E A Sov. Phys. Dokl. 22 507 (1977); Kuznetsov E A Dokl. Akad. Nauk SSSR 236 575 (1977)
  32. Peregrine D H J. Austral. Math. Soc. B 25 16 (1983)
  33. Akhmediev N N et al Sov. Phys. JETP 62 894 (1985); Akhmediev N N et al Zh. Eksp. Teor. Fiz. 89 1542 (1985)
  34. Akhmediev N N, Eleonskii V M, Kulagin N E Theor. Math. Phys. 72 809 (1987); Akhmediev N N, Eleonskii V M, Kulagin N E Teor. Mat. Fiz. 72 183 (1987)
  35. Akhmediev N, Ankiewicz A, Taki M Phys. Lett. A 373 675 (2009)
  36. Cavaleri L et al (The WISE Group) Prog. Oceanogr. 75 603 (2007)
  37. Chalikov D V Numerical Modeling Of Sea Waves (Cham: Springer, 2016)
  38. Chalikov D V Izv. Atmos. Ocean. Phys. 56 312 (2020); Chalikov D V Izv. Ross. Akad. Nauk. Fiz. Atmos. Okeana 56 360 (2020)
  39. "Cargo ship breaks in half off Turkey", Scuttlebutt Sailing News, Published on February 2, 2021, https://www.sailingscuttlebutt.com/2021/02/02/cargo-ship-breaks-in-half-off-turkey/
  40. "Father dies trying to rescue 2 kids swept off beach by wave", U.S. News. The Associated Press, January 5, 2021, https://apnews.com/article/ca-state-wire-1e313a82fc90be476f4061bccd94cbaf
  41. Didenkulova I I et al Nat. Hazards Earth Syst. Sci. 6 1007 (2006)
  42. Liu P C Geofizika 24 (1) 57 (2007)
  43. Liu P C Nat. Hazards Earth Syst. Sci. Discuss. 2 7017 (2014)
  44. Baschek B, Imai J Oceanography 24 158 (2011)
  45. Candella R N Nat. Hazards 83 211 (2016)
  46. O’Brien L et al Nat. Hazards Earth Syst. Sci. 18 729 (2018)
  47. Garcia-Medina G et al Nat. Hazards 94 583 (2018)
  48. Didenkulova I I, Nikolkina I F, Pelinovsky E N JETP Lett. 97 194 (2013); Didenkulova I I, Nikolkina I F, Pelinovsky E N Pis’ma Zh. Eksp. Teor. Fiz. 97 221 (2013)
  49. Turton J, Fenna P Weather 63 352 (2008)
  50. Barbario F et al Prog. Oceanogr. 175 139 (2019)
  51. Cardone V J et al Int. J. Climatol. 35 69 (2015)
  52. Christou M, Ewans K J. Phys. Oceanogr. 44 2317 (2014)
  53. Orzech M D, Wang D J. Mar. Sci. Eng. 8 890 (2020)
  54. Cattrell A D et al J. Geophys. Res. Oceans 123 5624 (2018)
  55. Cattrell A D et al Sci. Rep. 9 4461 (2019)
  56. Teutsch I et al Nat. Hazards Earth Syst. Sci. 20 2665 (2020)
  57. Mori N Ocean Eng. 31 165 (2004)
  58. Pinho U F, Liu P C, Ribeiro C E P Geofizika 21 53 (2004)
  59. Stansell P Appl. Ocean Res. 26 35 (2004)
  60. Lavrenov I Nat. Hazards 17 117 (1998)
  61. Glejin J et al Indian J. Geo-Marine Sci. 43 1339 (2014)
  62. Didenkulova I Borel Env. Res. 16 138 (2011)
  63. Kuznetsov K I et al Ekolog. Sist. Prib. (2) 33 (2014)
  64. Divinsky B V et al Dokl. Earth Sci. 395 438 (2004); Divinsky B V et al Dokl. Ross. Akad. Nauk 395 690 (2004)
  65. Karmpadakis I, Swan C J. Phys. Oceanogr. 50 1023 (2020)
  66. Benetazzo A et al Sci. Rep. 7 8276 (2017)
  67. Bergamasco F, Benetazzo A J. Mar. Sci. Eng. 9 238 (2021)
  68. Cavaleri L et al Sci. Data 8 37 (2021)
  69. Mei C C, Stiassnie M, Yue D K P Theory And Applications Of Ocean Surface Waves Pt. 1 Linear Aspects (Singapore: World Scientific, 2005)
  70. Krasitskii V P J. Fluid Mech. 272 1 (1994)
  71. Zakharov V Eur. J. Mech. B 18 327 (1999)
  72. Zakharov V E Procedia IUTAM 26 43 (2018)
  73. Pelinovsky E, Talipova T, Kharif C Physica D 147 83 (2000)
  74. White B S, Fornberg B J. Fluid Mech. 255 113 (1998)
  75. Johannessen T B, Swan C Appl. Ocean Res. 19 293 (1997)
  76. Clauss G Appl. Ocean Res. 24 147 (2002)
  77. Ducrozet G, Fink M, Chabchoub A Phys. Rev. Fluids 1 054302 (2016)
  78. Tobisch E, Pelinovsky E J. Phys. A 53 345703 (2020)
  79. Slunyaev A et al Physica D 173 77 (2002)
  80. Ruban V P JETP Lett. 97 686 (2013); Ruban V P Pis’ma Zh. Eksp. Teor. Fiz. 97 788 (2013)
  81. Ruban V P JETP Lett. 100 751 (2014); Ruban V P Pis’ma Zh. Eksp. Teor. Fiz. 100 853 (2014)
  82. Stiassnie M, Shemer L Wave Motion 41 307 (2005)
  83. Annenkov S Y, Shrira V I J. Fluid Mech. 561 181 (2006)
  84. Janssen P A E M J. Phys. Oceanogr. 33 863 (2003)
  85. Mori N, Janssen P A E M J. Phys. Oceanogr. 36 1471 (2006)
  86. Onorato M et al Phys. Rev. Lett. 86 5831 (2001)
  87. Onorato M et al Eur. J. Mech. B 25 586 (2006)
  88. McLean J W J. Fluid Mech. 114 315 (1982)
  89. Alber I E Proc. R. Soc. Lond. A 363 525 (1978)
  90. Dyachenko A I, Zakharov V E JETP Lett. 81 255 (2005); Dyachenko A I, Zakharov V E Pis’ma Zh. Eksp. Teor. Fiz. 81 318 (2005)
  91. Badulin S I, Ivonon D V Fundament. Priklad. Geofiz. 5 (1) 37 (2012)
  92. Mori N, Onorato M, Janssen P A E M J. Phys. Oceanogr. 41 1484 (2011)
  93. Waseda T, Kinoshita T, Tamura H J. Phys. Oceanogr. 39 621 (2009)
  94. Xiao W et al J. Fluid Mech. 720 357 (2013)
  95. Ribal et al J. Fluid Mech. 719 314 (2013)
  96. Janssen P The Interaction Of Surface Waves And Wind (Cambridge: Cambridge Univ. Press, 2004)
  97. Pelinovsky E, Sergeeva A Eur. J. Mech. B 25 425 (2006)
  98. Mussot A et al Opt. Express 17 17010 (2009)
  99. Slunyaev A V, Pelinovsky E N Phys. Rev. Lett. 117 214501 (2016)
  100. Sun Y-H Phys. Rev. E 93 052222 (2016)
  101. Ruban V P JETP Lett. 102 650 (2015); Ruban V P Pis’ma Zh. Eksp. Teor. Fiz. 102 739 (2015)
  102. Soto-Crespo J M, Devine N, Akhmediev N Phys. Rev. Lett. 116 103901 (2016)
  103. Pelinovsky E N, Shurgalina E G, Slunyaev A V Nelineinye Volny 2016 (Eds A M Sergeev, A V Slunyaev) (Nizhny Novgorod: IPF RAN, 2017) p. 279
  104. Gelash A A, Agafontsev D S Phys. Rev. E 98 042210 (2018)
  105. El G, Tovbis A Phys. Rev. E 101 052207 (2020)
  106. Mullyadzhanov R, Gelash A Phys. Rev. Lett. 126 234101 (2021)
  107. El G A J. Stat. Mech. 2021 114001 (2021)
  108. Agafontsev D S, Zakharov V E Nonlinearity 28 2791 (2015)
  109. Agafontsev D S, Zakharov V E Nonlinearity 29 3551 (2016)
  110. Kachulin D, Dyachenko A, Zakharov V Fluids 5 (2) 67 (2020)
  111. Onorato M et al Phys. Lett. A 380 3173 (2016)
  112. Fedele F J. Fluid Mech. 782 25 (2015)
  113. Janssen P A E M, Janssen A J E M J. Fluid Mech. 859 790 (2019)
  114. Onorato M et al Phys. Rev. Lett. 102 114502 (2009)
  115. Tang T et al J. Fluid Mech. 908 A3 (2021)
  116. Annenkov S Y, Shrira V I Geophys. Res. Lett. 36 L13603 (2009)
  117. Annenkov S Y, Shrira V I Phys. Rev. Lett. 102 024502 (2009)
  118. Slunyaev A, Sergeeva A, Pelinovsky E Physica D 303 18 (2015)
  119. Janssen T T, Herbers T H C J. Phys. Oceanogr. 39 1948 (2009)
  120. Onorato M, Proment D, Toffoli A Phys. Rev. Lett. 107 184502 (2011)
  121. Sergeeva A, Pelinovsky E, Talipova T Nat. Hazards Earth Syst. Sci. 11 323 (2011)
  122. Ruban V P JETP Lett. 95 486 (2012); Ruban V P Pis’ma Zh. Eksp. Teor. Fiz. 95 550 (2012)
  123. Zeng H, Trulsen K Nat. Hazards Earth Syst. Sci. 12 631 (2012)
  124. Adcock T A A, Taylor P H Int. J. Offshore Polar Eng. 21 8 (2011)
  125. Ducrozet G, Slunyaev A V, Stepanyants Y A Phys. Fluids 33 066606 (2021)
  126. Trulsen K et al J. Fluid Mech. 882 R2 (2020)
  127. Zheng Y K et al Phys. Rev. Fluids 5 064804 (2020)
  128. Zhang J, Benoit M J. Fluid Mech. 912 A28 (2021)
  129. Li Y et al J. Fluid Mech. 915 A71 (2021)
  130. Peregrine D H Adv. Appl. Math. 16 9 (1976)
  131. Basovich A Ya, Talanov V I Izv. Akad. Nauk SSSR. Fiz. Atmos. Okeana 13 766 (1977)
  132. Moreira R M, Peregrine D H J. Fluid Mech. 691 1 (2012)
  133. Shrira V I, Slunyaev A V J. Fluid Mech. 738 65 (2014)
  134. Pelinovsky E, Polukhina O, Kurkin A Eur. Phys. J. Spec. Top. 185 35 (2010)
  135. Shrira V I, Slunyaev A V Phys. Rev. E 89 041002 (2014)
  136. Deconinck B, Segal B L Physica D 346 1 (2017)
  137. Chen J, Pelinovsky D E, White R E Physica D 405 132378 (2020)
  138. Zakharov V E, Shabat A B Sov. Phys. JETP 34 62 (1972); Zakharov V E, Shabat A B Zh. Eksp. Teor. Fiz. 61 118 (1971)
  139. Ablowitz M J et al Stud. Appl. Math. 53 249 (1974)
  140. Biondini G, Mantzavinos D Commun. Pure Appl. Math. 70 2300 (2017)
  141. Grinevich P G, Santini P M Nonlinearity 31 5258 (2018)
  142. Kedziora D J, Ankiewicz A, Akhmediev N Phys. Rev. E 88 013207 (2013)
  143. Matveev V B, Smirnov A O J. Math. Phys. 59 091419 (2018)
  144. Chen J, Pelinovsky D E, White R Phys. Rev. E 100 052219 (2019)
  145. Tajiri M, Watanabe Y Phys. Rev. E 57 3510 (1998)
  146. Slunyaev A Eur. J. Mech. B 25 621 (2006)
  147. Zakharov V E, Gelash A A Phys. Rev. Lett. 111 054101 (2013)
  148. Garnier J, Kalimeris K J. Phys. A 45 035202 (2012)
  149. Biondini G, Kovacic G J. Math. Phys. 55 031506 (2014)
  150. Bilman D, Miller P D Commun. Pure Appl. Math. 72 1722 (2019)
  151. Klaus M, Pelinovsky D E, Rothos V M J. Nonlin. Sci. 16 1 (2006)
  152. Klein C, Haragus M Ann. Math. Sci. Appl. 2 217 (2017)
  153. Calini A, Schober C M, Strawn M Appl. Numer. Math. 141 36 (2019)
  154. Cuevas-Maraver J et al Phys. Rev. E 96 012202 (2017)
  155. Calini A, Schober C M Nonlinearity 25 R99 (2012)
  156. Grinevich P G, Santini P M Nonlinearity 34 8331 (2021); Haragus M, Pelinovsky D E J. Nonlinear. Sci. 32 66 (2022)
  157. Alejo M A, Fanelli L, Munoz C Front. Phys. 8 591995 (2020)
  158. Pelinovsky D E Front. Phys. 9 599146 (2021)
  159. Kedziora D J, Ankiewicz A, Akhmediev N Eur. Phys. J. Spec. Top. 223 43 (2014)
  160. Chen J, Pelinovsky D E Proc. R. Soc. Lond. A 474 20170814 (2018)
  161. Feng B F, Ling L, Takahashi D A Stud. Appl. Math. 144 46 (2020)
  162. Xu G et al Phys. Rev. Res. 2 033528 (2020)
  163. Baronio F et al Phys. Rev. Lett. 113 034101 (2014)
  164. Baronio F Phys. Rev. A 91 033804 (2015)
  165. Mancic A et al Phys. Rev. E 98 012209 (2018)
  166. Pelinovsky D E, White R E Proc. R. Soc. Lond. A 476 20200490 (2020)
  167. Marangell R, Miller P D Physica D 308 87 (2015)
  168. Deconinck B, McGill P, Segal B L Physica D 360 17 (2017)
  169. Chen J, Pelinovsky D E Nonlinearity 31 1955 (2018)
  170. Bertola M, El G A, Tovbis A Proc. R. Soc. Lod. A 472 20160340 (2016)
  171. Wright O C Physica D 321 16 (2016)
  172. Bertola M, Tovbis A Commun. Math. Phys. 354 525 (2017)
  173. Wright O C Nonlinearity 32 1929 (2019)
  174. Soto-Crespo J M, Denive N, Akhmediev N Phys. Rev. A 96 023825 (2017)
  175. Kimmoun O et al Sci. Rep. 6 28516 (2016)
  176. Vanderhaegen G et al Opt. Lett. 45 3757 (2020)
  177. Conforti M et al Phys. Rev. A 101 023843 (2020)
  178. Gramstad O, Stiassnie M J. Fluid Mech. 718 280 (2013)
  179. Annenkov S Y, Shrira V I J. Fluid Mech. 844 766 (2018)
  180. Slunyaev A V J. Exp. Theor. Phys. 101 926 (2005); Slunyaev A V Zh. Eksp. Teor. Fiz. 128 1061 (2005)
  181. Sedletsky Yu V Ukr. J. Phys. 66 41 (2021)
  182. Trulsen K et al Phys. Fluids 12 2432 (2000)
  183. Gramstad O, Trulsen K J. Fluid Mech. 670 404 (2011)
  184. Slunyaev A, Pelinovsky E, Guedes Soares C J. OMAE 136 011302 (2014)
  185. Dyachenko A I Dokl. Math. 63 115 (2001); Dyachenko A I Dokl. Ross. Akad. Nauk 376 27 (2001)
  186. Zakharov V E, Dyachenko A I, Vasilyev O A Eur. J. Mech. B 21 283 (2002)
  187. Chalikov D Nonlin. Proc. Geophys. 12 671 (2005)
  188. Ruban V P Phys. Rev. E 71 055303 (2005)
  189. Ruban V P Phys. Rev. E 81 056303 (2010)
  190. Lushnikov P M, Dyachenko S A, Silantyev D A Proc. R. Soc. Lond. A 473 20170198 (2017)
  191. Dyachenko et al Proc. R. Soc. Lond. A 476 20200811 (2021)
  192. Dommermuth D, Yue D K P J. Fluid Mech. 184 267 (1987)
  193. West et al J. Geophys. Res. 92 11803 (1987)
  194. Onorato M, Osborne A R, Serio M Eur. J. Mech. B 26 43 (2007)
  195. Ducrozet G et al Comput. Phys. Commun. 203 245 (2016)
  196. Gouin M, Ducrozet G, Ferrant P Eur. J. Mech. B 57 115 (2016)
  197. Chalikov D V, Babanin A V, Sanina E Ocean Dyn. 64 1469 (2014)
  198. Dyachenko A I, Zakharov V E JETP Lett. 93 701 (2011); Dyachenko A I, Zakharov V E Pis’ma Zh. Eksp. Teor. Fiz. 93 782 (2011)
  199. Dyachenko A I, Kachulin D I, Zakharov V E J. Fluid Mech. 828 661 (2017)
  200. Dyachenko A I Stud. Appl. Math. 144 493 (2020)
  201. Babanin A Breaking And Dissipation Of Ocean Surface Waves (Cambridge: Cambridge Univ. Press, 2011)
  202. Slunyaev A, Kokorina A Water Waves 2 243 (2020)
  203. Zakharov V E, Shamin R V JETP Lett. 96 66 (2012); Zakharov V E, Shamin R V Pis’ma Zh. Eksp. Teor. Fiz. 96 68 (2012)
  204. Shamin R V, Yudin A V Math. Models Comput. Simul. 9 (2) 176 (2017); Shamin R V, Yudin A V Matem. Model. 28 (9) 31 (2016)
  205. Zakharov V E, Shamin R V JETP Lett. 91 62 (2010); Zakharov V E, Shamin R V Pis’ma Zh. Eksp. Teor. Fiz. 91 68 (2010)
  206. Kirezci C, Babanin A V, Chalikov D V Ocean Eng. 231 108715 (2021)
  207. Shemer L, Sergeeva A, Slunyaev A Phys. Fluids 22 016601 (2010)
  208. Shemer L, Sergeeva A, Liberzon D J. Geophys. Res. 115 12039 (2010)
  209. Slunyaev A V, Sergeeva A V JETP Lett. 94 779 (2011); Slunyaev A V, Sergeeva A V Pis’ma Zh. Eksp. Teor. Fiz. 94 779 (2011)
  210. Slunyaev A V Phys. Rev. E 101 062214 (2020)
  211. Annenkov S Y, Shrira V I J. Phys. Oceanogr. 44 1582 (2014)
  212. Andrade D, Stiassnie M Wave Motion 97 102581 (2020)
  213. Fedele F et al Sci. Rep. 6 27715 (2016)
  214. Chalikov D, Bulgakov K J. Ocean Eng. Mar. Energy 3 417 (2017)
  215. Arena F Ocean Eng. 32 1311 (2005)
  216. Petrova P, Arena F, Guedes Soares C Ocean Eng. 38 1640 (2011)
  217. Ruban V P Phys. Rev. Lett. 99 044502 (2007)
  218. Chalikov D V Fundament. Priklad. Geofiz. 5 (1) 5 (2012)
  219. Sergeeva A, Slunyaev A Nat. Hazards Earth Syst. Sci. 13 1759 (2013)
  220. Zakharov V E, Shamin R V, Yudin A V JETP Lett. 99 514 (2014); Zakharov V E, Shamin R V, Yudin A V Pis’ma Zh. Eksp. Teor. Fiz. 99 59 (2014)
  221. Zakharov V E, Shamin R V, Yudin A V Dokl. Earth Sci. 462 484 (2015); Zakharov V E, Shamin R V, Yudin A V Dokl. Ross. Akad. Nauk 462 100 (2015)
  222. Adcock T A A, Taylor P H, Draper S Proc. R. Soc. Lond. A 471 20150660 (2015)
  223. Adcock T A A, Taylor P H, Draper S Phys. Fluids 28 106601 (2016)
  224. Slunyaev A, Sergeeva A, Didenkulova I Nat. Hazards 84 549 (2016)
  225. Slunyaev A V, Kokorina A V Izv. Atmos. Ocean. Phys. 56 179 (2020); Slunyaev A V, Kokorina A V Izv. Ross. Akad. Nauk. Fiz. Atm. Okeana 56 210 (2020)
  226. Ruban V P JETP Lett. 94 177 (2011); Ruban V P Pis’ma Zh. Eksp. Teor. Fiz. 94 194 (2011)
  227. Kokorina A, Slunyaev A Fluids 4 70 (2019)
  228. Fujimoto W, Waseda T, Webb A Ocean Dyn. 69 101 (2019)
  229. Dyachenko A I, Zakharov V E JETP Lett. 88 307 (2008); Dyachenko A I, Zakharov V E Pis’ma Zh. Eksp. Teor. Fiz. 88 356 (2008)
  230. Slunyaev A V JETP 109 676 (2009); Slunyaev A V Zh. Eksp. Teor. Fiz. 136 785 (2009)
  231. Slunyaev A et al Phys. Fluids 25 067105 (2013)
  232. Slunyaev A, Klein M, Clauss G F Phys. Fluids 29 047103 (2017)
  233. Dyachenko A I, Kachulin D I, Zakharov V E Nat. Hazards Earth Syst. Sci. 13 3205 (2013)
  234. Kachulin D, Dyachenko A, Gelash A Fluids 4 83 (2019)
  235. Kachulin D, Dyachenko A, Dremov S Fluids 5 65 (2020)
  236. Chabchoub A, Hoffmann N P, Akhmediev N Phys. Rev. Lett. 106 204502 (2011)
  237. Chabchoub A et al Phys. Rev. X 2 011015 (2012)
  238. Chabchoub A et al Phys. Fluids 25 101704 (2013)
  239. Slunyaev A et al Phys. Rev. E 88 012909 (2013)
  240. Slunyaev A V, Shrira V I J. Fluid Mech. 735 203 (2013)
  241. Shemer L, Alperovich L Phys. Fluids 25 051701 (2013)
  242. Viotti C et al Phys. Rev. E 87 063001 (2013)
  243. Slunyaev A V, Kokorina A V J. Ocean Eng. Mar. Energy 3 395 (2017)
  244. Cazaubiel A et al Phys. Rev. Fluids 3 114802 (2018)
  245. Osborne A et al Ocean Dyn. 69 187 (2019)
  246. Suret P et al Phys. Rev. Lett. 125 264101 (2020)
  247. Tikan A Phys. Rev. E 101 012209 (2020)
  248. Wang A et al Phys. Fluids 32 087109 (2020)
  249. Agafontsev D S, Gelash A A Front. Phys. 9 610896 (2021)
  250. Slunyaev A V Phys. Fluids 33 036606 (2021)
  251. Sergeeva A et al Nat. Hazards Earth Syst. Sci. 14 861 (2014)
  252. Adcock T A A et al Proc. R. Soc. Lond. A 467 3004 (2011)
  253. Clauss G F, Klein M J. Offshore Mech. Arct. Eng. 131 041001 (2009)
  254. McAllister M L et al J. Fluid Mech. 860 767 (2019)
  255. Bitner-Gregersen E M et al Nat. Hazards Earth Syst. Sci. 14 1407 (2014)
  256. Fedele F, Lugni C, Chawla A Sci. Rep. 7 11188 (2017)
  257. Donelan M A, Magnusson A K Sci. Rep. 7 44124 (2017)
  258. Kokina T, Dias F J. Mar. Sci. Eng. 8 1023 (2020)
  259. Innocenti A, Onorato M, Brandini C J. Mar. Sci. Eng. 9 422 (2021)
  260. Onorato M et al PLOS One 8 e54629 (2013)
  261. Klein M et al Ocean Eng. 128 199 (2016)
  262. Klein M, Clauss G F, Hoffmann N Ocean Eng. 234 109271 (2021)
  263. Haver S, Andersen O J Proc. of the Tenth (2000) Intern. Offshore and Polar Engineering Conf. ISOPE-2000, Seattle, USA, May 27 - June 2 2000 (Cupertino, CA: The Intern. Soc. of Offshore and Polar Engineers, 2000) p. 123
  264. van Groesen E, Turnip P, Kurnia R J. Ocean Eng. Mar. Energy 3 233 (2017)
  265. Köllisch N et al Ocean Eng. 157 387 (2018)
  266. Klein M et al Fluids 5 (1) 9 (2020)
  267. Ruban V P JETP Lett. 103 568 (2016); Ruban V P Pis’ma Zh. Eksp. Teor. Fiz. 103 647 (2016)
  268. Annenkov S Yu, Shrira V I J. Fluid Mech. 449 341 (2001)
  269. Ponce de León S, Guedes Soares C Ocean Modelling 81 78 (2014)
  270. Cousins W, Sapsis T P J. Fluid Mech. 790 368 (2016)
  271. Cousins W et al Phys. Rev. E 99 032201 (2019)
  272. Randoux S, Suret P, El G Sci. Rep. 6 29238 (2016)
  273. Calini A, Schober C M Wave Motion 71 5 (2017)
  274. Brühl M, Oumeraci H Appl. Ocean Res. 61 81 (2016)
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