Zero modes of the nonrelativistic SU(2) Chern-Simons solitons

Abstract

It is demonstrated that 4n parameters are required to specify a nonrelativistic n-soliton solution in the nonlinear planar Schrödinger equation coupled to the SU(2) Chern-Simons gauge fields. This result implies that the most general soliton solutions of the theory can be obtained from the Toda ansatz. © 1992 The American Physical Society.