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Recently there are striking new ideas emerging on "lower level" dynamics with respect to quantum mechanics involving fluid mechanics principles, including hints of soliton-like aspects to particle physics dynamics.[1][2][3]

However, while there are now possibly decades of physical/empirical experiments, it does not seem that solitons have been studied much in the literature from a more abstract/theoretical or a 3D computational/simulation point of view.

Are there papers on 3D mesh/grid simulation experiments on soliton dynamics, in particular some that relate to particle physics?

Additionally, survey papers, if any exist, would also be helpful.

[1] Pilot wave hydrodynamics / Bush

[2] Why bouncing droplets are a pretty good model of quantum mechanics / Brady, Anderson

[3] Have We Been Interpreting Quantum Mechanics Wrong This Whole Time? / Wolchover

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    $\begingroup$ There are anywhere from ~5-10 papers per month in the journal Physics of Plasmas that discuss all sorts of different types of solitons and all of them are modeled. I did not post this as an answer because it relates to plasma, not particle physics. $\endgroup$ Dec 11 '15 at 15:10
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    $\begingroup$ You can also look at an example I made in Mathematica here: http://mathematica.stackexchange.com/a/63526/19732. $\endgroup$ Feb 11 '16 at 12:58

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