Wave box with constant amplitude and velocity

AI Thread Summary
Solitons are waves that maintain constant amplitude and velocity, created by carefully matching the wave shape to the medium. The interaction of dispersion and non-linearity, such as the Kerr effect in optics, allows for the formation of solitons by canceling out changes in wave shape over time. Historical experiments, like those by John Scott Russell, demonstrate soliton creation using a canal and a moving barge, which can be replicated in a long water tank. To create a soliton, one must use a non-linear medium and a tunable wave generator, following specific mathematical setups. Understanding solitons requires a deep dive into the relevant physics, often covered in advanced coursework.
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.
 
Thread 'Is 'Velocity of Transport' a Recognized Term in English Mechanics Literature?'
Here are two fragments from Banach's monograph in Mechanics I have never seen the term <<velocity of transport>> in English texts. Actually I have never seen this term being named somehow in English. This term has a name in Russian books. I looked through the original Banach's text in Polish and there is a Polish name for this term. It is a little bit surprising that the Polish name differs from the Russian one and also differs from this English translation. My question is: Is there...
I know that mass does not affect the acceleration in a simple pendulum undergoing SHM, but how does the mass on the spring that makes up the elastic pendulum affect its acceleration? Certainly, there must be a change due to the displacement from equilibrium caused by each differing mass? I am talking about finding the acceleration at a specific time on each trial with different masses and comparing them. How would they compare and why?
Back
Top