Remarks on Combinatorial Aspects of the KP Equation
arXiv:1309.1480 · doi:10.1063/1.4828677
Abstract
We survey several results connecting combinatorics and Wronskian solutions of the KP equation, contextualizing the successes of a recent approach introduced by Kodama, et. al. We include the necessary combinatorial and analytical background to present a formula for generalized KP solitons, compute several explicit examples, and indicate how such a perspective could be used to extend previous research relating line-soliton solutions of the KP equation with Grassmannians.
Accepted for publication: AIP Conference Proceedings, 2nd International Workshop on Nonlinear and Modern Mathematical Physics, March 9-11, 2013. v2: Several clarifications made, references added, typos corrected; 16 pages, 1 figure