title: Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point.
abstract: Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase-transition point is analytically studied. A nonlinear Klein-Gordon equation is derived for the envelope of these wave packets. A variety of phenomena known to exist in this envelope equation are shown to also exist in the full equation, including wave blowup, periodic bound states, and solitary wave solutions.
authors.affiliation: Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05401, USA.
authors.forename: Sean
authors.initials: S
authors.lastname: Nixon
authors.forename: Yi
authors.initials: Y
authors.lastname: Zhu
authors.forename: Jianke
authors.initials: J
authors.lastname: Yang