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

Sean Nixon Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05401, USA Yi Zhu Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Jianke Yang Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05401, USA

TBD mathscidoc:2204.43025

Optics Letters, 37, (23), 2012.12
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.
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@inproceedings{sean2012nonlinear,
  title={Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point},
  author={Sean Nixon, Yi Zhu, and Jianke Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220428160142030293156},
  booktitle={Optics Letters},
  volume={37},
  number={23},
  year={2012},
}
Sean Nixon, Yi Zhu, and Jianke Yang. Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point. 2012. Vol. 37. In Optics Letters. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220428160142030293156.
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