I tried to find sources for the downstream waves, or the “pinned” waves, and solitons. Not quite sure if these really can exist in the way that the entry is written. Solitons are travelling solutions, but not necessarily stationary as in fixed to a spot on the road. The key issue here seems to me that the text currently is ambiguous when it refers to a wave “relative to the motion of the cars themselves”. What does that mean? Relative to speed of the cars, or relative to the direction of the cars? If speed is what is meant, then the wave cannot travel faster, that is considered unphsysical in the traffic flow literature[1].
I think the author probably intended to say that the wave can go in the same direction of the cars, and by the same token, occasionally be “pinned”. The word “pinned” is an unfortunate choice of words as the text seems to refer to a wave that travels backward (relative the moving traffic) with the same speed as the traffic is moving forward. But that is a coincidence, the wave is not really stuck to a spot on the road. If the unfortunate words "motion" and "pinned" are removed, then the text can be fixed. I have done this, hoping that it makes the entry better, and it can be taken of the "original research" list. I am not an expert on this though, is anyone in a position to comment on my suggested change?
There is a lovely picture in Wilson, R. E. (2008). Mechanisms for spatio-temporal pattern formation in highway traffic models. Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 366(1872), 2017-2032. (Fig 1). The paper is open access under research http://information.bristol.ac.uk/files/3007542/ptroysoc-v8.pdf but I presume the figure is under copyright. Anyone aware of something similar that can be put in?
Thank you
Pips15 (talk) 21:40, 27 October 2015 (UTC)
References
Daganzo C.F
1994 The cell transmission model: a simple dynamic representation of highway traffic. Trans. Res. B. 28, 269–287. doi:10.1016/0191-2615(94)90002-7