Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations

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Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations. / Slunyaev, A.; Pelinovsky, E.; Sergeeva, A.; Chabchoub, A.; Hoffmann, N.; Onorato, M.; Akhmediev, N.

In: Physical Review E, Vol. 88, No. 1, 012909, 19.07.2013.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

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' Physical Review E, vol. 88, no. 1, 012909. https://doi.org/10.1103/PhysRevE.88.012909

APA

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. Physical Review E, 88(1), [012909]. https://doi.org/10.1103/PhysRevE.88.012909

Vancouver

Slunyaev A, Pelinovsky E, Sergeeva A, Chabchoub A, Hoffmann N, Onorato M et al. Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations. Physical Review E. 2013 Jul 19;88(1). 012909. https://doi.org/10.1103/PhysRevE.88.012909

Author

Slunyaev, A. ; Pelinovsky, E. ; Sergeeva, A. ; Chabchoub, A. ; Hoffmann, N. ; Onorato, M. ; Akhmediev, N. / Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations. In: Physical Review E. 2013 ; Vol. 88, No. 1.

Bibtex - Download

@article{1b37617d84b14c1283edb53fe5a80d1e,
title = "Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations",
abstract = "The rogue wave solutions (rational multibreathers) of the nonlinear Schr{\"o}dinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5 are considered. A higher accuracy of wave propagation in space is reached using the modified NLS equation, also known as the Dysthe equation. This numerical modeling allowed us to directly compare simulations with recent results of laboratory measurements in Chabchoub. In order to achieve even higher physical accuracy, we employed fully nonlinear simulations of potential Euler equations. These simulations provided us with basic characteristics of long time evolution of rational solutions of the NLS equation in the case of near-breaking conditions. The analytic NLS solutions are found to describe the actual wave dynamics of steep waves reasonably well.",
author = "A. Slunyaev and E. Pelinovsky and A. Sergeeva and A. Chabchoub and N. Hoffmann and M. Onorato and N. Akhmediev",
year = "2013",
month = "7",
day = "19",
doi = "10.1103/PhysRevE.88.012909",
language = "English",
volume = "88",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

RIS - Download

TY - JOUR

T1 - Super-rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations

AU - Slunyaev, A.

AU - Pelinovsky, E.

AU - Sergeeva, A.

AU - Chabchoub, A.

AU - Hoffmann, N.

AU - Onorato, M.

AU - Akhmediev, N.

PY - 2013/7/19

Y1 - 2013/7/19

N2 - The rogue wave solutions (rational multibreathers) of the nonlinear Schrödinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5 are considered. A higher accuracy of wave propagation in space is reached using the modified NLS equation, also known as the Dysthe equation. This numerical modeling allowed us to directly compare simulations with recent results of laboratory measurements in Chabchoub. In order to achieve even higher physical accuracy, we employed fully nonlinear simulations of potential Euler equations. These simulations provided us with basic characteristics of long time evolution of rational solutions of the NLS equation in the case of near-breaking conditions. The analytic NLS solutions are found to describe the actual wave dynamics of steep waves reasonably well.

AB - The rogue wave solutions (rational multibreathers) of the nonlinear Schrödinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5 are considered. A higher accuracy of wave propagation in space is reached using the modified NLS equation, also known as the Dysthe equation. This numerical modeling allowed us to directly compare simulations with recent results of laboratory measurements in Chabchoub. In order to achieve even higher physical accuracy, we employed fully nonlinear simulations of potential Euler equations. These simulations provided us with basic characteristics of long time evolution of rational solutions of the NLS equation in the case of near-breaking conditions. The analytic NLS solutions are found to describe the actual wave dynamics of steep waves reasonably well.

UR - http://www.scopus.com/inward/record.url?scp=84880580338&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.88.012909

DO - 10.1103/PhysRevE.88.012909

M3 - Article

VL - 88

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 012909

ER -

ID: 6981661