title: Nonlinear hydrodynamics and fractionally quantized solitons at the fractional quantum Hall edge.
abstract: We argue that the dynamics of fractional quantum Hall (FQH) edge states is essentially nonlinear and that it features fractionally quantized solitons with charges -νe propagating along the edge. The observation of solitons would be direct evidence of fractional charges. We show that the nonlinear dynamics of the Laughlin's FQH state is governed by the quantum Benjamin-Ono equation. Nonlinear dynamics of gapless edge states is determined by gapped modes in the bulk of FQH liquid and is traced to the double boundary layer "overshoot" of FQH states. The dipole moment of the layer η=1-ν/4π is obtained in paper. Quantum hydrodynamics of FQH liquid is outlined.
authors.affiliation: James Franck Institute, University of Chicago, 929 57th Street, Chicago, Illinois 60637, USA.
authors.forename: P
authors.initials: P
authors.lastname: Wiegmann