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.
© 2012 Optical Society of America
Original Manuscript: August 29, 2012
Manuscript Accepted: October 2, 2012
Published: November 22, 2012
Sean Nixon, Yi Zhu, and Jianke Yang, "Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point," Opt. Lett. 37, 4874-4876 (2012)