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

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

905
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:
905
Travelling Waves01:04

Travelling Waves

5.2K
A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
5.2K
Standing Electromagnetic Waves01:15

Standing Electromagnetic Waves

1.5K
Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...
1.5K
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

136
The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx  and a shunt capacitance CΔx.
136
The Wave Nature of Light02:12

The Wave Nature of Light

48.8K
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion. 
48.8K
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

2.9K
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
2.9K

You might also read

Related Articles

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

Sort by
Same author

Relaxation of acoustic parameters in rocks after strong earthquakes.

The Journal of the Acoustical Society of America·2025
Same author

Solitons and lumps in the cylindrical Kadomtsev-Petviashvili equation. I. Axisymmetric solitons and their stability.

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

Solitons and lumps in the cylindrical Kadomtsev-Petviashvili equation. II. Lumps and their interactions.

Chaos (Woodbury, N.Y.)·2024
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: Jun 24, 2025

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

3.1K

Localized wave structures: Solitons and beyond.

L Ostrovsky1,2, E Pelinovsky3,4, V Shrira5

  • 1Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309, USA.

Chaos (Woodbury, N.Y.)
|June 10, 2024
PubMed
Summary
This summary is machine-generated.

This review explores solitary waves and localized structures in generalized Korteweg-de Vries (KdV) systems. It covers radiating solitons, compactons, soliton gas, and 2D solitons, detailing their properties and interactions.

More Related Videos

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

17.0K
Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.6K

Related Experiment Videos

Last Updated: Jun 24, 2025

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

3.1K
Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

17.0K
Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.6K

Area of Science:

  • Nonlinear Physics
  • Wave Phenomena
  • Mathematical Physics

Background:

  • The Korteweg-de Vries (KdV) equation models various nonlinear wave phenomena.
  • Generalizations of the KdV equation exhibit diverse localized structures beyond simple solitons.

Purpose of the Study:

  • To review solitary waves and localized structures in generalized KdV equations.
  • To discuss properties and interactions of various soliton types, including compactons, radiating solitons, ring solitons, and lumps.
  • To explore statistical descriptions of soliton ensembles (soliton gas).

Main Methods:

  • Analysis of generalized Korteweg-de Vries (KdV) equations.
  • Study of soliton properties, including compactons and radiating solitons.
  • Investigation of soliton-soliton interactions and their asymptotic behavior.
  • Examination of 2D solitons (ring solitons and lumps) and their interactions.

Main Results:

  • Generalized KdV equations support diverse localized structures like compactons and radiating solitons.
  • Soliton-soliton collisions, even with minor non-elastic effects, can lead to significant asymptotic changes.
  • Soliton gas provides a statistical description for soliton ensembles.
  • Ring solitons and lumps exhibit unique properties and interact distinctively with other structures.

Conclusions:

  • Localized wave structures in generalized KdV systems are rich and varied.
  • Interactions between different soliton geometries present complex dynamics.
  • Future research directions include further studies on these localized wave structures in weakly nonlinear, weakly dispersive wave theory.