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Paper detail

KP solitons, higher Bruhat and Tamari orders

In a tropical approximation, any tree-shaped line soliton solution, a member of the simplest class of soliton solutions of the Kadomtsev-Petviashvili (KP-II) equation, determines a chain of planar rooted binary trees, connected by right rotation. More precisely, it determines a maximal chain of a Tamari lattice. We show that an analysis of these solutions naturally involves higher Bruhat and higher Tamari orders.

preprint2011arXivOpen access
Aristophanes DimakisFolkert Mueller-Hoissen
math.COmath-phmath.MPnlin.SI
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Aristophanes DimakisFolkert Mueller-Hoissen

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