Linear and nonlinear rogue wave statistics in the presence of random currents

Nonlinearity

Volumn 24, Issue 11, 2011, Pages

  Ying, L H ^a   Zhuang, Z ^b   Heller, E J ^c   Kaplan, L ^a  

^a Tulane University   (United States)

^b School of Operations Research and Industrial Engineering   (United States)

^c HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80054966331     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/24/11/R01     Document Type: Review

References (59)

1. Trulsen K and Dysthe K B 1997 Proc. 21st Symp. on Naval Hydrodynamics (Trondheim, Norway) (Washington, DC: National Academy Press) p 550
2. Dankert H, Horstmann J, Lehner S and Rosenthal W 2003 IEEE Trans. Geosci. Remote Sens. 41 1437
3. Schulz-Stellenfleth J and Lehner S 2004 IEEE Trans. Geosci. Remote Sens. 42 1149
4. Dysthe K B, Krogstad H E and Müller P 2008 Annu. Rev. Fluid Mech. 40 287
5. Mallory J K 1974 Int. Hydrog. Rev. 51 89
6. Kharif C and Pelinovsky E 2003 Eur. J. Mech. 22 603
7. Longuet-Higgins M S 1957 Phil. Trans. R. Soc. Lond. A 249 321
8. Forristall G Z 2000 J. Phys. Oceanogr. 30 1931
9. Onorato M, Osborne A R, Serio M, Cavaleri L, Brandini C and Stansberg C T 2004 Phys. Rev. E 70 067302
10. Tanaka M 2001 J. Fluid. Mech. 444 199
11. Gibson R S and Taylor P H 2005 Appl. Ocean Res. 27 142
12. Gibson R S and Swan C 2007 Proc. R. Soc. A 463 21
13. White B S and Fornberg B 1998 J. Fluid. Mech. 355 113
14. Heller E J, Kaplan L and Dahlen A 2008 J. Geophys. Res. 113 C09023
15. Peregrine D H 1976 Adv. Appl. Mech. 16 9
16. Lavrenov I 1998 Natural Hazards 17 117
17. Irvine D E and Tilley D G 1988 J. Geophys. Res. 93 15389
18. Grundlingh M L 1994 AVISO Altimeter Newslett. 3
19. Jannsen P and Alpers W 2006 Proc. SEASAR Workshop (Frascati, Italy) (23-26 January 2006) ESA SP-613
20. Schulz-Stellenfleth J, König T and Lehner S 2007 J. Geophys. Res. 112 C03019
21. Kaplan L 2002 Phys. Rev. Lett. 89 184103
22. Metzger J J, Fleischmann R and Geisel T 2010 Phys. Rev. Lett. 105 020601
23. Tucker M J and Pitt E G 2001 Waves in Ocean Engineering (Ocean Engineering Book Series vol 5) (Amsterdam: Elsevier) p 521
24. Berry M V 2005 New J. Phys. 7 129
25. Berry M V 2007 Proc. R. Soc. A 463 3055
26. Dobrokhotov S Y, Sekerzh-Zenkovich S Y, Tirozzi B and Tudorovskii T Y 2006 Dokl. Math. 74 592
27. Topinka M A, LeRoy B J, Westervelt R M, Shaw S E J, Fleischmann R, Heller E J, Maranowski K D and Gossard A C 2001 Nature 410 183
28. Jura M P, Topinka M A, Urban L, Yazdani A, Shtrikman H, Pfeiffer L N, West K W and Goldhaber-Gordon D 2007 Nature Phys. 3 841
29. Wolfson M and Tomsovic S 2001 J. Acoust. Soc. Am. 109 2693
30. Berry M V 1977 J. Phys. A: Math. Gen. 10 2061
31. Wilkinson M, Mehlig B and Bezuglyy V 2006 Phys. Rev. Lett. 97 048501
32. Höhmann R, Kuhl U, Stöckmann H-J, Kaplan L and Heller E J 2010 Phys. Rev. Lett. 104 093901
33. Kaplan L 1999 Nonlinearity 12 R1
34. Smith A M and Kaplan L 2009 Phys. Rev. E 80 035205(R)
35. Bäcker A and Schubert R 2002 J. Phys. A: Math. Gen. 35 527
36. Regev A, Agnon Y, Stiassnie M and Gramstad O 2008 Phys. Fluids 20 112102
37. Jakeman E and Pusey P N 1978 Phys. Rev. Lett. 40 546
38. Mirlin A 2000 Phys. Rep. 326 259
39. Damborsky K and Kaplan L 2005 Phys. Rev. E 72 066204
40. Stocker J R and Peregrine D H 1999 J. Fluid Mech. 399 335
41. Weidman J A C and Herbst B M 1986 SIAM J. Numer. Anal. 23 485
42. Zakharov V E 1968 J. Appl. Mech. Tech. Phys. 2 190
43. Dysthe K B 1979 Proc. R. Soc. A 369 105
44. Trulsen K and Dysthe K B 1996 Wave Motion 24 281
45. Trulsen K and Dysthe K B 1997 J. Fluid Mech. 352 359
46. Lake B M, Yuen H C, Rungaldier H and Ferguson W E 1977 J. Fluid Mech. 83 49
47. Segur H, Henderson D, Carter J D, Hammack J, Li C, Pheiff D and Socha K 2005 J. Fluid Mech. 539 229
48. Janssen T T and Herbers T H C 2009 J. Phys. Oceanogr. 39 1948
49. Ying L H and Kaplan L 2011 Systematic study of rogue wave probability distributions in a fourth-order nonlinear Schrödinger equation (in preparation)
50. Benjamin T B and Feir J E 1967 J. Fluid Mech. 27 417
51. Onorato M, Osborne A R and Serio M 2002 Phys. Fluids 14 L25
52. Dysthe K B 2001 Proc. Rogue Waves 2000 (Brest, France) (Brest, France: Ifremer) p 255
53. Socquet-Juglard H, Dysthe K B, Trulsen K, Krogstad H E and Liu J 2005 J. Fluid Mech. 542 195
54. Gramstad O and Trulsen K 2007 J. Fluid Mech. 582 463
55. Clamond D and Grue J 2002 C. R. Mec. 330 575
56. Henderson K L, Peregrine D H and Dold J W 1999 Wave Motion 29 341
57. Tanaka M 1990 Wave Motion 12 559
58. Zakharov V E, Dyachenko A I and Prokofiev A O 2006 Eur. J. Mech. B 25 667
59. Bretherton F P and Garrett C J R 1968 Proc. R. Soc. A 302 529