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Three-dimensional Spatiotemporal Accessible Solitons in a PT-symmetric Potential

  • Zhong, Wei-Ping (Department of Electronic and Information Engineering, Shunde Polytechnic) ;
  • Belic, Milivoj R. (Texas A&M University at Qatar) ;
  • Huang, Tingwen (Texas A&M University at Qatar)
  • 투고 : 2012.08.17
  • 심사 : 2012.10.11
  • 발행 : 2012.12.25

초록

Utilizing the three-dimensional Snyder-Mitchell model with a PT-symmetric potential, we study the influence of PT symmetry on beam propagation in strongly nonlocal nonlinear media. The complex Coulomb potential is used as the PT-symmetric potential. A localized spatiotemporal accessible soliton solution of the model is obtained. Specific values of the modulation depth for different soliton parameters are discussed. Our results reveal that in these media the localized solitons can exist in various shapes, such as single-layer and multi-layer disk-shaped structures, as well as vortex-ring and necklace patterns.

키워드

참고문헌

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피인용 문헌

  1. The fractional dimensional spatiotemporal accessible solitons supported by PT-symmetric complex potential vol.378, 2017, https://doi.org/10.1016/j.aop.2017.01.020
  2. Sech-type and Gaussian-type light bullet solutions to the generalized (3 $$+$$ + 1)-dimensional cubic-quintic Schrödinger equation in $$\varvec{\mathcal {PT}}$$ PT -symmetric potentials vol.79, pp.1, 2015, https://doi.org/10.1007/s11071-014-1676-7