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arXiv · 1309.1480

Remarks on Combinatorial Aspects of the KP Equation

Shabnam Beheshti·Amanda Redlich
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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.

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Shabnam Beheshti, Amanda Redlich. 2013-09-05. Remarks on Combinatorial Aspects of the KP Equation. https://doi.org/10.1063/1.4828677

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