Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Forced Oscillations01:06

Forced Oscillations

8.2K
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
8.2K
Propagation of Waves01:07

Propagation of Waves

3.4K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
3.4K
Damped Oscillations01:07

Damped Oscillations

7.6K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
7.6K
Interference and Superposition of Waves01:07

Interference and Superposition of Waves

7.5K
When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
7.5K
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

3.4K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
3.4K
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

1.6K
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
1.6K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Instabilities of periodic patterns for coherently coupled nonlinear Schrödinger systems.

Physical review. E·2026
Same author

Transient modes for the coupled modified Korteweg-de Vries equations with negative cubic nonlinearity: Stability and applications of breathers.

Chaos (Woodbury, N.Y.)·2024
Same author

[A preliminary study on the characteristics of refractive parameters and retinal blood flow in dominant eyes].

[Zhonghua yan ke za zhi] Chinese journal of ophthalmology·2024
Same author

Triad resonance for internal waves in a uniformly stratified fluid: Rogue waves and breathers.

Physical review. E·2024
Same author

Robustness and stability of doubly periodic patterns of the focusing nonlinear Schrödinger equation.

Chaos (Woodbury, N.Y.)·2024
Same author

Fermi-Pasta-Ulam-Tsingou recurrence and cascading mechanism for resonant three-wave interactions.

Physical review. E·2023
Same journal

Topological dependence of viral mutation spread in complex host-interaction networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Multifractal signatures of Hamiltonian chaos in Hyperion's rotational dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
Same journal

State estimation in spatiotemporal chaos via low-rank StatFEM.

Chaos (Woodbury, N.Y.)·2026
Same journal

Universal response functions in driven dissipative tunneling dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

Chaos (Woodbury, N.Y.)·2026
See all related articles

Related Experiment Video

Updated: Mar 31, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

10.2K

A coupled "AB" system: Rogue waves and modulation instabilities.

C F Wu1, R H J Grimshaw2, K W Chow3

  • 1Department of Mathematics, University of Hong Kong, Pokfulam, Hong Kong.

Chaos (Woodbury, N.Y.)
|November 2, 2015
PubMed
Summary
This summary is machine-generated.

Rogue waves, unpredictable large waves, can form in coupled systems even with opposing nonlinear Schrödinger (NLS) and dispersion signs. This study links modulation instability to rogue wave existence in geophysical flows.

More Related Videos

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
08:19

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System

Published on: May 9, 2021

2.9K
Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

9.2K

Related Experiment Videos

Last Updated: Mar 31, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

10.2K
Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
08:19

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System

Published on: May 9, 2021

2.9K
Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
08:54

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

9.2K

Area of Science:

  • Fluid dynamics
  • Nonlinear physics
  • Geophysical flows

Background:

  • Rogue waves are localized, large amplitude waves. The nonlinear Schrödinger (NLS) model predicts them under specific conditions of dispersion and nonlinearity.
  • Coupled NLS systems exhibit new modulation instability regimes, allowing rogue waves even when component dispersion and nonlinearity signs differ.

Purpose of the Study:

  • To investigate rogue wave formation in a coupled "AB" system, a wave-current interaction model relevant to geophysical flows.
  • To establish the correlation between modulation instability and the existence criterion for rogue waves in this system.
  • To analytically elucidate transitions between elevation and depression rogue waves.

Main Methods:

  • Analysis of a coupled "AB" system, a wave-current interaction model.
  • Investigating modulation instability and its relation to rogue wave criteria.
  • Analytical elucidation of rogue wave transitions.
  • Numerical simulations to validate findings.

Main Results:

  • Modulation instability onset precisely correlates with the rogue wave existence criterion for the coupled "AB" system.
  • Transitions between elevation and depression rogue waves are analytically described.
  • The fourth-order dispersion relation can yield multiple rogue wave configurations due to complex roots.
  • Special cases simplify the dispersion relation to a cubic polynomial, enabling explicit calculation of rogue wave criteria.

Conclusions:

  • Coupled systems, like the "AB" model, expand the conditions for rogue wave generation beyond the standard NLS model.
  • Modulation instability is a key predictor for rogue wave existence in these geophysical flow models.
  • The study provides analytical and numerical insights into the complex behavior and formation of rogue waves.