Experiments on higher-order and degenerate Akhmediev breather-type rogue water waves
Tóm tắt
Từ khóa
Tài liệu tham khảo
Akhmediev N, Ankiewicz A (1997) Solitons: nonlinear pulses and beams. Chapman & Hall, London
Akhmediev N, Ankiewicz A, Soto-Crespo J (2009) Rogue waves and rational solutions of the nonlinear Schrödinger equation. Phys Rev E 80(2):026601
Akhmediev N, Ankiewicz A, Taki M (2009) Waves that appear from nowhere and disappear without a trace. Phys Lett A 373(6):675–678
Akhmediev N, Eleonskii VM, Kulagin NE (1985) Generation of periodic trains of picosecond pulses in an optical fiber: exact solutions. Sov Phys JETP 62(5):894–899
Akhmediev N, Eleonskii VM, Kulagin NE (1987) Exact solutions of the first order of nonlinear Schrödinger equation. Theor Math Phys (USSR) 72(2):809–818
Akhmediev N, Korneev VI (1986) Modulation instability and periodic solutions of the nonlinear Schrödinger equation. Theor Math Phys (USSR) 69(2):1089–1093
Akhmediev N, Korneev V, Mitskevich N (1988) N-modulation signals in a single-mode optical waveguide under nonlinear conditions. Zh Eksp Teor Fiz 94:159–170
Benjamin TB, Feir J (1967) The disintegration of wave trains on deep water part 1. Theory. J Fluid Mech 27(03):417–430
Benjamin TB, Hasselmann K (1967) Instability of periodic wavetrains in nonlinear dispersive systems (and discussion). In: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol 299, The Royal Society, pp 59–76
Bitner-Gregersen EM, Gramstad O (2015) Rogue waves impact on ships and offshore structures. DNV-GL
Chabchoub A (2016) Tracking breather dynamics in irregular sea state conditions. Phys Rev Lett 117(14):144103
Chabchoub A, Grimshaw RH (2016) The hydrodynamic nonlinear Schrödinger equation: space and time. Fluids 1(3):23
Chabchoub A, Hoffmann N, Akhmediev N (2011) Rogue wave observation in a water wave tank. Phys Rev Lett 106(20):204502
Chabchoub A, Hoffmann N, Onorato M, Akhmediev N (2012) Super rogue waves: observation of a higher-order breather in water waves. Phys Rev X 2(1):011015
Chabchoub A, Hoffmann N, Onorato M, Genty G, Dudley JM, Akhmediev N (2013) Hydrodynamic supercontinuum. Phys Rev Lett 111(5):054104
Chabchoub A, Kibler B, Dudley J, Akhmediev N (2014) Hydrodynamics of periodic breathers. Philos Trans R Soc Lond A Math Phys Eng Sci 372(2027):20140005
Chabchoub A, Waseda T (2016) Modulation instability and extreme events beyond initial three wave systems. In: ASME 2016 35th international conference on ocean, offshore and arctic engineering, American Society of Mechanical Engineers, pp V003T02A036–V003T02A036
Dontsop PYG, Essama BGO, Dongo JM, Dedzo MM, Atangana J, Yemele D, Kofane TC (2016) Akhmediev–Peregrine rogue waves generation in a composite right/left-handed transmission line. Opt Quant Electron 48:59
Dudley JM, Genty G, Dias F, Kibler B, Akhmediev N (2009) Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation. Opt Express 17(24):21497–21508
Dysthe KB (1979) Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. In: Proceedings of Royal Society of London A: Mathematical, Physical and Engineering Sciences, The Royal Society, vol 369, pp 105–114
Erkintalo M, Genty G, Wetzel B, Dudley JM (2011) Akhmediev breather evolution in optical fiber for realistic initial conditions. Phys Lett A 375(19):2029–2034
Frisquet B, Chabchoub A, Fatome J, Finot C, Kibler B, Millot G et al (2014) Two-stage linear-nonlinear shaping of an optical frequency comb as rogue nonlinear-Schrödinger-equation-solution generator. Phys Rev A 89(2):023821
Gaillard P (2015) Other $$2N-2$$ 2 N - 2 parameters solutions of the NLS equation and 2N + 1 highest amplitude of the modulus of the N-th order Akhmediev-Peregrine breather. J Phys A Math Theor 48:145203
Goullet A, Choi W (2011) A numerical and experimental study on the nonlinear evolution of long-crested irregular waves. Phys Fluids 23(1):016601
Kedziora DJ, Ankiewicz A, Akhmediev N (2012) Second-order nonlinear Schrödinger equation breather solutions in the degenerate and rogue wave limits. Phys Rev E 85:066601
Kharif C, Pelinovsky E (2003) Physical mechanisms of the rogue wave phenomenon. Eur J Mech B Fluids 22(6):603–634
Kharif C, Pelinovsky E, Slunyaev A (2009) Rogue waves in the ocean. Springer, New York
Kibler B, Chabchoub A, Gelash A, Akhmediev N, Zakharov VE (2015) Superregular breathers in optics and hydrodynamics: omnipresent modulation instability beyond simple periodicity. Phys Rev X 5(4):041026
Kibler B, Fatome J, Finot C, Millot G, Dias F, Genty G, Akhmediev N, Dudley JM (2010) The Peregrine soliton in nonlinear fibre optics. Nat Phys 6(10):790–795
Kimmoun O, Hsu H, Branger H, Li M, Chen Y, Kharif C, Onorato M, Kelleher E, Kibler B, Akhmediev N et al (2016) Modulation instability and phase-shifted Fermi-Pasta-Ulam recurrence. Sci Rep 6:28516
Kimmoun O, Hsu H, Kibler B, Chabchoub A (2017) Nonconservative higher-order hydrodynamic modulation instability. Phys Rev E 96:022219
Liggett J, Liu P-F (1984) Applications of boundary element methods to fluid mechanics. In: Basic principles and applications, Springer, New York, pp 78–96
Ma Q (2010) Advances in numerical simulation of nonlinear water waves, vol 11. World Scientific, Singapore
Mozumi K, Waseda T, Chabchoub A (2015) 3D stereo imaging of abnormal waves in a wave basin. In: ASME 2015 34th International conference on ocean, offshore and arctic engineering, American Society of Mechanical Engineers, pp V003T02A027–V003T02A027
Onorato M, Proment D, Clauss G, Klein M (2013) Rogue waves: from nonlinear Schrödinger breather solutions to sea-keeping test. PLoS One 8(2):e54629
Osborne A (2010) Nonlinear ocean waves and the inverse scattering transform, vol 97. Academic Press, Cambridge
Slunyaev A, Pelinovsky E, Sergeeva A, Chabchoub A, Hoffmann N, Onorato M, Akhmediev N (2013) Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations. Phys Rev E 88(1):012909
Tai K, Hasegawa A, Tomita A (1986) Observation of modulational instability in optical fibers. Phys Rev Lett 56(2):135
Tanizawa K (1996) Long time fully nonlinear simulation of floating body motions with artificial damping zone. J Soc Naval Arch Jpn 180:311–319
Trulsen K, Stansberg CT (2001) Spatial evolution of water surface waves: numerical simulation and experiment of bichromatic waves. In: Proceedings of the eleventh international offshore and polar engineering conference, Stavanger, Norway, 17–22 June 2017
Tulin MP, Waseda T (1999) Laboratory observations of wave group evolution, including breaking effects. J Fluid Mech 378:197–232
Waseda T, Kinoshita T, Cavaleri L, Toffoli A (2015) Third-order resonant wave interactions under the influence of background current fields. J Fluid Mech 784:51–73
Waseda T, Rheem C-K, Sawamura J, Yuhara T, Kinoshita T, Tanizawa K, Tomita H et al (2005) Extreme wave generation in laboratory wave tank. In: Proceedings of the fifteenth international offshore and polar engineering conference, Seoul, Korea, 19–24 June 2005
Wetzel B, Erkintalo M, Genty G, Hammani K, Kibler B, Fatome J, Finot C, Dias F, Akhmediev N, Millot G et al (2011) New analysis of an old instability. Optoelectron Commun SPIE Newsroom 10:2–1201104
Zakharov VE (1968) Stability of periodic waves of finite amplitude on the surface of a deep fluid. J Appl Mech Technol Phys 9(2):190–194