Wave box with constant amplitude and velocity

Click For Summary

Discussion Overview

The discussion centers on solitons, specifically their creation, characteristics, and effects. Participants explore theoretical and practical aspects of solitons, including their behavior in different media and historical experiments related to solitons.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • One participant seeks information on solitons, noting their constant amplitude and velocity but expressing a need for more specific details.
  • Another participant asks for clarification on the original poster's requirements regarding solitons.
  • A participant suggests that solitons can be created by carefully matching the wave shape with the medium, mentioning the interaction of dispersion and non-linearity.
  • It is proposed that the Kerr effect in optics can lead to soliton formation by canceling dispersion under certain conditions.
  • One participant references John Scott Russell's experiments and inquires about their specifics.
  • Another participant provides a method for creating solitons, emphasizing the use of a non-linear medium and a tunable wave generator, and mentions both light pulses in glass and mechanical waves in water as examples.
  • It is noted that solitons can occur accidentally in various contexts.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and inquiry into the creation and properties of solitons. There is no consensus on a singular method or comprehensive explanation, indicating multiple competing views and unresolved questions.

Contextual Notes

Participants reference specific examples and historical experiments, but there are limitations in the depth of explanation regarding the mathematical and physical principles involved in soliton formation.

Who May Find This Useful

This discussion may be of interest to those studying wave phenomena, particularly in physics and engineering, as well as individuals curious about historical experiments related to solitons.

s_300tabestan
Messages
3
Reaction score
0
hello I need to informations about soliton. I know that soliton is a wave box with constant amplitude and velocity. but this datas cannot answer my requirement. piease help me fast.
 
Physics news on Phys.org


I want to know that how can we creat a soliton wave?
what are the soliton's qualities and effects?
 


We create a soliton by very carefully matching the shape of the wave with the medium. You've already described it's effects: the shape of the wave does not change as it travels.

Dispersion and non-linearity can interact to produce permanent and localized wave forms. Consider a pulse of light traveling in glass. This pulse can be thought of as consisting of light of several different frequencies. Since glass shows dispersion, these different frequencies will travel at different speeds and the shape of the pulse will therefore change over time. However, there is also the non-linear Kerr effect: the refractive index of a material at a given frequency depends on the light's amplitude or strength. If the pulse has just the right shape, the Kerr effect will exactly cancel the dispersion effect, and the pulse's shape won't change over time: a soliton. See soliton (optics) for a more detailed description.

Bear in mind that the theory of solitons fills a chunk of text-books and may be several lectures in a college course. Can you sort-of narrow down your inquiry a bit?
 


I read this article in Wikipedia completely but my question is this: how can I create soliton?

Do you know anything about John Scott Russell's experimental?
 


The article in wikipedia describes how to create a soliton.
Use a non-linear medium, and a wave generator that is very tunable.
Do the math and set up the wave according to the result.

I gave you a specific example using a light-pulse in glass.
Here's one using mechanical waves which should be quite easy for you to do.

For John Russel, the medium was a canal and the wave generator a barge pulled by horses. You can repeat this with a very long water-tank.

They happen by accident all the time.
 

Similar threads

Undergrad Amplitudes of longitudinal sound waves
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad Relationship between frequency and power for sound?
  • · Replies 11 ·
Replies
11
Views
6K
Undergrad Wave number, frequency, and velocity in dispersive waves
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Does a rotating accelerometer moving linearly measure linear velocity?
  • · Replies 47 ·
2
Replies
47
Views
5K
Undergrad Standing waves on a string experiment -- Relative amplitude of harmonics
  • · Replies 32 ·
2
Replies
32
Views
6K
Undergrad Rotating plate thrown parallel to ground
  • · Replies 2 ·
Replies
2
Views
1K
High School Does acceleration affect impact energy vs constant velocity?
  • · Replies 46 ·
2
Replies
46
Views
4K
Undergrad Two-Mass Oscillator: Plotting Amplitudes Over Frequency in Hertz
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Curl of velocity vector in rotational motion
  • · Replies 9 ·
Replies
9
Views
1K
Undergrad Stationary waves in a vertical rope
  • · Replies 2 ·
Replies
2
Views
1K