Chiral solitons in a current coupled Schrödinger equation with self-interaction

Abstract

Recently nontopological chiral soliton solutions were obtained in a derivatively coupled nonlinear Schrödinger model in 1+1 dimensions. We extend the analysis to include a more general self-coupling potential (which includes the previous cases) and find chiral soliton solutions. Interestingly, even the magnitude of the velocity is found to be fixed. The energy and U(1) charge associated with this nontopological chiral soliton are also obtained. © 1998 The American Physical Society.