2018
DOI: 10.1007/s11141-018-9865-8
|View full text |Cite
|
Sign up to set email alerts
|

Analysis of the Nonlinear Spectrum of Intense Sea Wave with the Purpose of Extreme Wave Prediction

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

1
12
0

Year Published

2019
2019
2022
2022

Publication Types

Select...
5
2

Relationship

0
7

Authors

Journals

citations
Cited by 19 publications
(13 citation statements)
references
References 46 publications
1
12
0
Order By: Relevance
“…3(b) shows that for large enough L these deviations in eigenvalues lead to the exponential growth of errors as predicted by the developed theory, see Eq. (16). At the same time, for smaller L < 15, as expected, we observe the truncation errors for the norming constants.…”
Section: Varyingsupporting
confidence: 85%
See 2 more Smart Citations
“…3(b) shows that for large enough L these deviations in eigenvalues lead to the exponential growth of errors as predicted by the developed theory, see Eq. (16). At the same time, for smaller L < 15, as expected, we observe the truncation errors for the norming constants.…”
Section: Varyingsupporting
confidence: 85%
“…The Boffetta-Osborne method [7] represents the first numerical realization of the DST followed by a sequence of further improvements and alternatives [8][9][10][11][12]. These advancements have made the DST an essential scientific tool with a wide range of theoretical and experimental applications [4,[13][14][15][16][17]. The remarkable ability of the DST to identify and characterise solitons representing the coherent structures in nonlinearly interacting wave fields provides fundamental information about the origin of various physical effects [18,19] and can be fruitfully used in practical applications such as optical telecommunication systems [20][21][22][23].…”
mentioning
confidence: 99%
See 1 more Smart Citation
“…In Sec. IV we analyze the realization No 295 by means of the own method of evaluation of the soliton content suggested in [20,35] and further improved in [21]. The method employs the Inverse Scattering Transform for the NLS equation, formulated in infinite line and allows estimation of the amplitudes, velocities and locations of the soliton groups.…”
Section: Direct Numerical Simulation Of Irregular Unidirectional Wave...mentioning
confidence: 99%
“…In the present work we reconsider our observation of long-living wave groups in the numerical simulation of irregular sea waves and discuss their nature on a more solid background. We apply the nonlinear analysis based on the Inverse Scattering Transform (IST) [20,21] which helps to reveal the soliton-type nonlinear groups and to estimate them quantitatively.…”
Section: Introductionmentioning
confidence: 99%