A Generating Function for the N-Soliton Solutions of
the Kadomtsev-Petviashvili II Equation
Sarbarish Chakravarty
Department of Mathematics, University of Colorado, Colorado Springs
Abstract: We describe a classification of the N-soliton solutions of
the Kadomtsev-Petviashvili II equation in terms of chord diagrams
of N chords joining pairs of 2N points. The different classes of N-solitons
are enumerated by the distribution of crossings of the chords.
This is joint work with Yuji Kodama.
