University of British Columbia
Gross–Pitaeskii, Kadomtsev–Petviashvili and Adler–Moser
I will discuss the traveling wave solutions to Gross–Pitaeskii equation with speed \(c\). I will show how Adler–Moser polynomial and lump solutions of KP-I are connected as the speed varies from zero to sound speed. Key results proved are nondegeneracy of Adler–Moser, and lump of KP-I.