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Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point

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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.

© 2012 Optical Society of America

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