scholarly journals The coupled Hirota system as an example displaying discrete breathers: Rogue waves, modulation instability and varying cross-phase modulations

AIP Advances ◽  
2018 ◽  
Vol 8 (9) ◽  
pp. 095303 ◽  
Author(s):  
Q. Pan ◽  
W. C. Chung ◽  
K. W. Chow
Keyword(s):  
Modulation Instability ◽  
Rogue Waves ◽  
Discrete Breathers

Rogue waves and modulation instability in an extended Manakov system

2020 ◽  
Vol 102 (3) ◽  
pp. 1801-1812 ◽  
Author(s):  
Yanlin Ye ◽  
Jia Liu ◽  
Lili Bu ◽  
Changchang Pan ◽  
Shihua Chen ◽  
...  
Keyword(s):  
Modulation Instability ◽  
Rogue Waves

New coupled rogue waves propagating backward and forward and modulation instability in a composite nonlinear right- and left-handed transmission line

2021 ◽  
Vol 136 (10) ◽  
Author(s):  
Djidere Ahmadou ◽  
Houwe Alphonse ◽  
Mibaile Justin ◽  
Gambo Betchewe ◽  
Doka Yamigno Serge ◽  
...  
Keyword(s):  
Transmission Line ◽  
Modulation Instability ◽  
Rogue Waves ◽  
Left Handed

scholarly journals Seeded Supercontinuum Generation - Modulation Instability Gain, Coherent and Incoherent Rogue Waves

2012 ◽  
Author(s):  
S. T. Sørensen ◽  
C. Larsen ◽  
U. Møller ◽  
P. M. Moselund ◽  
C. L. Thomsen ◽  
...  
Keyword(s):  
Modulation Instability ◽  
Rogue Waves ◽  
Supercontinuum Generation

scholarly journals Brief communication: Modulation instability of internal waves in a smoothly stratified shallow fluid with a constant buoyancy frequency

2019 ◽  
Vol 19 (3) ◽  
pp. 583-587 ◽  
Author(s):  
Kwok Wing Chow ◽  
Hiu Ning Chan ◽  
Roger H. J. Grimshaw
Keyword(s):  
Numerical Simulation ◽  
Surface Wave ◽  
Internal Waves ◽  
Modulation Instability ◽  
Rogue Waves ◽  
Buoyancy Frequency ◽  
Spontaneous Generation ◽  
Large Displacements ◽  
Analytical Treatment ◽  
Intermediate Depth

Abstract. Unexpectedly large displacements in the interior of the oceans are studied through the dynamics of packets of internal waves, where the evolution of these displacements is governed by the nonlinear Schrödinger equation. In cases with a constant buoyancy frequency, analytical treatment can be performed. While modulation instability in surface wave packets only arises for sufficiently deep water, “rogue” internal waves may occur in shallow water and intermediate depth regimes. A dependence on the stratification parameter and the choice of internal modes can be demonstrated explicitly. The spontaneous generation of rogue waves is tested here via numerical simulation.

scholarly journals Baseband modulation instability as the origin of rogue waves

2015 ◽  
Vol 91 (3) ◽  
Author(s):  
Fabio Baronio ◽  
Shihua Chen ◽  
Philippe Grelu ◽  
Stefan Wabnitz ◽  
Matteo Conforti
Keyword(s):  
Modulation Instability ◽  
Rogue Waves

scholarly journals Brief communication: The occurrence of rogue waves in the interior of the oceans: A modelling and computational study

2018 ◽  
Author(s):  
Kwok Wing Chow ◽  
Hiu Ning Chan ◽  
Roger H. J. Grimshaw
Keyword(s):  
Numerical Simulations ◽  
Internal Waves ◽  
Deep Water ◽  
Modulation Instability ◽  
Computational Study ◽  
Rogue Waves ◽  
Buoyancy Frequency ◽  
Spontaneous Generation ◽  
Large Displacements ◽  
Analytical Treatment

Abstract. The occurrence of unexpectedly large displacements in the interior of the oceans is studied through the dynamics of packets of internal waves, where the evolution is governed by the nonlinear Schrödinger equation. The case of constant buoyancy frequency permits analytical treatment. While modulation instability for surface waves only arises for sufficiently deep water, rogue internal waves may occur if the fluid depth is shallow. The dependence on the stratification parameter and choice of internal modes can be demonstrated explicitly. The spontaneous generation of rogue waves is tested by numerical simulations.

Baseband modulation instability, rogue waves and state transitions in a deformed Fokas–Lenells equation

2019 ◽  
Vol 97 (1) ◽  
pp. 343-353 ◽  
Author(s):  
Xin Wang ◽  
Jiao Wei ◽  
Lei Wang ◽  
Jianlin Zhang
Keyword(s):  
Modulation Instability ◽  
Rogue Waves ◽  
State Transitions
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