Volume 115, Number 1, July 2016
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||10 August 2016|
Spatiotemporal soliton supported by parity-time symmetric potential with competing nonlinearities
1 The School of Electronic and Information Engineering, HuBei University of Science and Technology Xianning 437100, China
2 School of Biomedical Engineering, Hubei University of Science and Technology - Xianning 437100, China
3 Institute of Physics, University of Belgrade - P.O. Box 68, 11001 Belgrade, Serbia
4 Science Program, Texas A&M University at Qatar - P.O. Box 23874 Doha, Qatar
Received: 22 February 2016
Accepted: 8 July 2016
We construct explicit spatiotemporal or light bullet (LB) solutions to the (3 + 1)-dimensional nonlinear Schrödinger equation (NLSE) with inhomogeneous diffraction/dispersion and nonlinearity in the presence of parity-time (PT) symmetric potential with competing nonlinearities. The solution is based on the similarity transformation, by which the initial inhomogeneous problem is reduced to the standard NLSE with constant coefficients but with redefined variables and potential. Transmission characteristics of LB solutions, such as the phase change, half width and chirp, are studied in the media with exponentially decreasing diffraction/dispersion and with periodic modulation. Our outcomes demonstrate that diffraction/dispersion and nonlinearity management can prolong the stability of LBs in a PT potential.
PACS: 42.65.Tg – Optical solitons; nonlinear guided waves / 05.45.Yv – Solitons
© EPLA, 2016
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