Articles | Volume 10, issue 6
https://doi.org/10.5194/npg-10-503-2003
© Author(s) 2003. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
https://doi.org/10.5194/npg-10-503-2003
© Author(s) 2003. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
31 Dec 2003
Soliton interaction as a possible model for extreme waves in shallow water
P. Peterson
Institute of Cybernetics, Tallinn Technical University, Akadeemia tee 21, 12618 Tallinn, Estonia
T. Soomere
Marine Systems Institute, Tallinn Technical University, Akadeemia tee 21, 12618 Tallinn, Estonia
J. Engelbrecht
Institute of Cybernetics, Tallinn Technical University, Akadeemia tee 21, 12618 Tallinn, Estonia
E. van Groesen
Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
Viewed
Total article views: 3,072 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 01 Feb 2013)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 1,708 | 1,151 | 213 | 3,072 | 303 | 295 |
- HTML: 1,708
- PDF: 1,151
- XML: 213
- Total: 3,072
- BibTeX: 303
- EndNote: 295
Cited
58 citations as recorded by crossref.
- Interaction of Kadomtsev–Petviashvili solitons with unequal amplitudes T. Soomere https://doi.org/10.1016/j.physleta.2004.09.030
- Three reasons for freak wave generation in the non-uniform current I. Lavrenov & A. Porubov https://doi.org/10.1016/j.euromechflu.2006.02.009
- Soliton resonance of the (2+1)-dimensional Boussinesq equation for gravity water waves H. Zhang et al. https://doi.org/10.1016/j.nonrwa.2007.01.010
- On the localization of 2D nonlinear internal waves in a two-layer fluid A. Porubov https://doi.org/10.1134/1.1994965
- Electromagnetic backscattering from freak waves in (1 + 1)-dimensional deep-water X. Tao et al. https://doi.org/10.1088/1674-1056/19/5/054102
- Soliton Interactions of the Kadomtsev–Petviashvili Equation and Generation of Large‐Amplitude Water Waves G. Biondini et al. https://doi.org/10.1111/j.1467-9590.2009.00439.x
- General high-order rogue waves to nonlinear Schrödinger–Boussinesq equation with the dynamical analysis X. Zhang & Y. Chen https://doi.org/10.1007/s11071-018-4317-8
- Characteristics of freak wave and its interaction with marine structures: A review S. Xue et al. https://doi.org/10.1016/j.oceaneng.2023.115764
- Multicomponent long-wave–short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons K. Sakkaravarthi et al. https://doi.org/10.1103/PhysRevE.90.052912
- Symbolic computation on soliton dynamics and Bäcklund transformation for the generalized coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity P. Wang & B. Tian https://doi.org/10.1080/09500340.2012.744478
- Predicting rogue waves A. Slunyaev https://doi.org/10.3103/S0027134917030122
- Impact of Ship-Generated Waves on the Sediment Resuspension in Restricted Waterways M. Chakraborty et al. https://doi.org/10.1061/JWPED5.WWENG-1951
- Numerical modeling of rogue waves in coastal waters A. Sergeeva et al. https://doi.org/10.5194/nhess-14-861-2014
- Rogue waves in mode-locked fiber lasers A. Zaviyalov et al. https://doi.org/10.1103/PhysRevA.85.013828
- Rogue waves in shallow water T. Soomere https://doi.org/10.1140/epjst/e2010-01240-1
- Extreme elevations and slopes of interacting solitons in shallow water T. Soomere & J. Engelbrecht https://doi.org/10.1016/j.wavemoti.2004.06.006
- Understanding Internal Wave–Wave Interaction Patterns Observed in Satellite Images of the Mid-Atlantic Bight J. Xue et al. https://doi.org/10.1109/TGRS.2013.2271777
- Rogue waves in shallow water in the presence of a vertically sheared current C. Kharif et al. https://doi.org/10.1007/s40722-017-0085-7
- Predicting the occurrence of rogue waves in the presence of opposing currents with a high-order spectral method G. Ducrozet et al. https://doi.org/10.1103/PhysRevFluids.6.064803
- Collision-induced rogue waves and universal transport dynamics in chaotic Kerr microresonators Z. Wang et al. https://doi.org/10.1126/sciadv.adv9422
- Multiple solitary wave interactions K. Nakayama & H. Tsuji https://doi.org/10.1063/5.0056258
- Weakly two-dimensional interaction of solitons in shallow water T. Soomere & J. Engelbrecht https://doi.org/10.1016/j.euromechflu.2006.02.008
- Two-dimensional waves in extended square lattice A. Porubov et al. https://doi.org/10.1016/j.ijnonlinmec.2017.12.008
- Numerical study on the effects of uneven bottom topography on freak waves C. Cui et al. https://doi.org/10.1016/j.oceaneng.2012.06.021
- Breather solutions of the integrable quintic nonlinear Schrödinger equation and their interactions A. Chowdury et al. https://doi.org/10.1103/PhysRevE.91.022919
- Observation of extreme temporal events in CW-pumped supercontinuum A. Mussot et al. https://doi.org/10.1364/OE.17.017010
- Laboratory measurements of limiting freak waves on currents C. Wu & A. Yao https://doi.org/10.1029/2004JC002612
- KP solitons in shallow water Y. Kodama https://doi.org/10.1088/1751-8113/43/43/434004
- Controllable optical rogue waves: Recurrence, annihilation and sustainment Q. Tian et al. https://doi.org/10.1016/j.optcom.2010.12.081
- Mixed interaction solutions for the coupled nonlinear Schrödinger equations Y. Tang & J. Zhou https://doi.org/10.1142/S0217984921500044
- Modulational Instability in Crossing Sea States: A Possible Mechanism for the Formation of Freak Waves M. Onorato et al. https://doi.org/10.1103/PhysRevLett.96.014503
- Solitons on two-dimensional anharmonic square lattices T. Astakhova & G. Vinogradov https://doi.org/10.1088/0305-4470/39/14/007
- Formation of the rogue wave due to non-linear two-dimensional waves interaction A. Porubov et al. https://doi.org/10.1016/j.wavemoti.2005.02.001
- Nonlinear Components of Ship Wake Waves T. Soomere https://doi.org/10.1115/1.2730847
- Nonlinear physical complex hirota dynamical system: Construction of chirp free optical dromions and numerical wave solutions T. Sugati et al. https://doi.org/10.1016/j.chaos.2021.111788
- Freak wave events in 2005–2021: statistics and analysis of favourable wave and wind conditions E. Didenkulova et al. https://doi.org/10.5194/nhess-23-1653-2023
- Effects of topography and Earth's rotation on the oblique interaction of internal solitary‐like waves in the Andaman Sea K. Shimizu & K. Nakayama https://doi.org/10.1002/2017JC012888
- Rogue waters A. Slunyaev et al. https://doi.org/10.1080/00107514.2011.613256
- Characteristics of soliton gas with the strongest pairwise soliton interactions in the focusing Gardner equation X. Zhang et al. https://doi.org/10.1007/s11071-024-10215-8
- Simulation of scattering on a time-varying sea surface beneath which an internal solitary wave travels Y. Wei & L. Guo https://doi.org/10.1080/01431161.2017.1312029
- Characteristic behaviour of N-order ion acoustic rogue waves solution in electron-positron-ion plasmas M. Alam & M. Talukder https://doi.org/10.1088/2516-1067/ac4bea
- Symbolic computation on integrable decompositions for the cylindrical Kadomtsev–Petviashvili equation from dusty plasmas and Bose–Einstein condensates J. Li et al. https://doi.org/10.1088/0031-8949/77/01/015001
- Fast Ferry Traffic as a Qualitatively New Forcing Factor of Environmental Processes in Non-Tidal Sea Areas: A Case Study in Tallinn Bay, Baltic Sea T. Soomere https://doi.org/10.1007/s10652-005-5226-1
- On the nature of large and rogue waves M. Kovalyov https://doi.org/10.3934/dcds.2014.34.3061
- Oblique interactions of weakly nonlinear long waves in dispersive systems M. Oikawa & H. Tsuji https://doi.org/10.1016/j.fluiddyn.2006.07.002
- Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients Z. Yan & D. Jiang https://doi.org/10.1016/j.jmaa.2012.05.058
- Ship-induced solitary Riemann waves of depression in Venice Lagoon K. Parnell et al. https://doi.org/10.1016/j.physleta.2014.12.004
- Solitons, breathers and rogue waves for a higher-order nonlinear Schrödinger–Maxwell–Bloch system in an erbium-doped fiber system Q. Wang et al. https://doi.org/10.1088/0031-8949/90/10/105202
- Study of Optical Rogue Waves in Two-Dimensional Disordered Lattices J. Song et al. https://doi.org/10.3390/photonics11040373
- Decomposition of 2-Soliton Solutions for the Good Boussinesq Equations V. Vatchev https://doi.org/10.1080/14029251.2020.1819610
- Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation A. Wazwaz & H. Triki https://doi.org/10.1016/j.amc.2010.01.067
- The evolution of spectral data for nonlinear Klein-Gordon models P. Palheta et al. https://doi.org/10.1088/1402-4896/ad96f7
- Contribution of solitons to enhanced rogue wave occurrence in shallow depths: a case study in the southern North Sea I. Teutsch et al. https://doi.org/10.5194/nhess-23-2053-2023
- Parabola solitons for the nonautonomous KP equation in fluids and plasmas X. Yu & Z. Sun https://doi.org/10.1016/j.aop.2016.01.019
- Variational modelling of extreme waves through oblique interaction of solitary waves: application to Mach reflection F. Gidel et al. https://doi.org/10.5194/npg-24-43-2017
- Hybrid-wave solutions for a (2 + 1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics Y. Zhao & B. Tian https://doi.org/10.1063/5.0160717
- Waves Generated by a Pressure Disturbance Moving in a Channel with a Variable Cross-Sectional Topography T. Torsvik et al. https://doi.org/10.1061/(ASCE)0733-950X(2009)135:3(120)
- Physical mechanisms of the rogue wave phenomenon C. Kharif & E. Pelinovsky https://doi.org/10.1016/j.euromechflu.2003.09.002
Latest update: 24 Jun 2026
