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Classification theorem

Friday, October 17, 2014 - 9:00am - 9:50am
Harry Yeh (Oregon State University)
Exact soliton solutions of the quasi-two-dimensional Kadomtsev-Petviashvili (KP) equation and its classification theorem (by Kodama) are available. The classification theorem is related to non-negative Grassmann manifold that is parameterized by a unique chord diagram based on the derangement of the permutation group. The cord diagram can infer the asymptotic behavior of the solution with arbitrary number of line solitons. Here we present the realization of a variety of the KP soliton formations in the laboratory environment.
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