Well, I don't have a clue on where to put this, but I'll go with this because solitons are a physical phenomenom, too. But I'll guess this is a wrong place for this anyway, so I apologize in advance.(adsbygoogle = window.adsbygoogle || []).push({});

Anyway, could somebody help me understand the box-ball soliton system (soliton, specifically, because I'm considering the form that doesn't disperse).

I've found very little information on box-ball soliton system. I've found this but I don't completely get it.

It seems to me that the last line with superscripts differs from the first colored line.

And it is said that: "Find the first maximal string of only 0s or only 1s no longer than the one to its immediate right, and denote its length m. Label each element of the string and the leftmost m elements of the adjacent string with the number m. Now remove these 2m elements from consideration, yielding a new system with fewer 1s. Repeat this process until all 1s (and as many 0s) have been labeled."

There is a line: 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 ...

So the first "11110000" is reduced from the line, resulting in: 0 1 1 0 1 0 0 0 1 0 0 ...

But why then, isn't the first zero taken into account?

1. "find the first maximal string of only 0s or only 1s"

2. "no longer that the one to its immediate right"

So the first 0 is a string of lenght 1 and the following string of 1s is of lenght 2.

Well.. I just don't get it.

How should the line 0 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

be labeled and how do the solitons move when colliding with each other?

It isn't probably anything complicated, but as said, I just don't get it.

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# Box-ball soliton system?

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