See, page 4 of this, http://fusion.k.u-tokyo.ac.jp/~takase/plasma1_ch13.pdf

Hi, Pandey!

Could you give the reference of the book the chapter of which you have sent?

Hi!

This is what I got from the respective website. Associated textbook: TH Stix, Waves in Plasmas , American Institute of Physics (ISBN 0-88318-859-7 ) reference book: J. Freidberg ., plasma Physics And Fusion Energy, Cambridge Univ Press (ISBN 978-0-521-73317-5) plasma basis: RJ Goldston , Rutherford PJ, Introduction To Plasma Physics, IOP Publishing (ISBN 0-7503-0183-X) FF Chen, Introduction To Plasma Physics And Controlled Fusion Vol 1:. Plasma Physics, Springer (ISBN 0-306-41332-9) (translation Book) Translated by Shinjiro Uchida "Introduction to Plasma Physics" Maruzen (ISBN 4-621-04255-6)

non-linear effects can result in waves getting faster as they get bigger. This can result in the middle of a wave overtaking the front, so it peaks even more. Anything that gets out in front is smaller so slows down, so the wave catches it up. I'm not sure how it works at the back of the wave. The links in the previous answers will probably give the maths for that.

Dispersion is about different frequencies travelling at different speeds, irrespective of size. The signal spreads out more the further it travels.

Dear Malcolm White ,

Thanks a lot for response. Could you please cite references in support of your answer?

No. Look for dispersion on the internet, and non-linear effects in water waves. Try solitons.

Dear Malcolm White ,

Please refer to your response, " .... non-linear effects can result in waves getting faster as they get bigger .....". Could you explain the microphysical insightful details responsible for it?

Look up non-linear effects in water waves and solitons on the internet. I found all that you would need to answer that question on the first few pages of search results I found. You can do the same. The answers are there. I assume that if you are on Researchgate you have access to the internet.

The medium I am interested in is plasma fluid. Does the old theory of waves not require any revision? It would be nice if some newer revisions and perspectives on the theory of solitary structure formation were observed. The revisions, of course, would require a conceptual understanding of solitary structure formation instead of google or internet.

There are a lot of articles on non-linear plasma waves that come up if you don't use water in the search but still use solitons. I didn't expect you would want those because you seemed to want a basic understanding of dispersion and non-linearity, which is a lot easier in transmission lines (dispersion) and water (non-linearity and dispersion). If you want to go straight into plasma waves then the articles are there. If you read the articles and duplicate the maths you should get a conceptual understanding. If you can't follow or duplicate the maths then read the references - often they are on the internet to be found with a search.

Dear Malcolm White ,

I am sorry at this backdrop. My question seems to be ill understood. If you please go through the state-of-the-art materials in this context, you may understand that the "microphysics of soliton formation" is yet to be understood. If you do not agree with me, please provide seriously a clearcut microphysical explanation alongside references thereof.

Your question is poorly understood because you asked a quesion about why nonlinearity causes wave steepening and dispersion causes broadening effects. It is well understood why nonlinearity causes wave steepening and dispersion causes broadening effects. These are well described with a good theoretical background. If you want to know about the microphysics of soliton formation you should have asked that question instead. I cannot answer that question. If you do not have a thorough background in the theory of dispersion and non-linear effects in simple cases I suggest you learn that before trying to understand the microphysics of soliton formation.

Dear Malcolm White ,

The concentered aim of my question is simply to see and learn different explanations innovatively put forward for the basic physics of "soliton formation mechanism" in complex astroplasma fluids.

My focus should not be continued to misunderstand, nor to deviate, as before as to apparently lie on the well-known existential conditions.

According to you, this topic is well understood in the very past itself. I want to know whether this understanding has now gained any vertical advancement relative to the past standpoint?

You are kindly requested to stick to this point only and try to give your emotion-free scientific answer, alongside references, for the precast question alone, if understood and conceived properly at all.

Warm regards,

PK Karmakar