Nonlinear Dynamics

, Volume 95, Issue 3, pp 2325–2332 | Cite as

Multipole solitons in a cold atomic gas with a parity-time symmetric potential

  • Jia-Xi Cheng
  • Si-Liu XuEmail author
  • Milivoj R. Belić
  • Hong Li
  • Yuan Zhao
  • Wen-Wu Deng
  • Yun-Zhou Sun
Original Paper


We investigate the formation and propagation of multipole solitons (MSs) in a cold atomic gas with a parity-time (PT) symmetric potential. A \(\wedge \)-type three-level configuration is considered in the electromagnetically induced transparency arrangement. The PT potential is introduced through an effective magnetic field. Various types of MS solutions are studied theoretically, and the stability analysis of the solutions is discussed numerically, using the modified square-operator method. It is shown that the characteristics of MSs can be easily controlled and manipulated via adjusting the nonlinearity and the external magnetic field parameters.


Nonlinear optics Spatial solitons PT-symmetric potential Multipole solitons 



This work is supported in China by the Natural Science Foundation of China (Nos. 11747044, 11747044), Hubei Province technical innovation special major Project (2018ABA076). In addition, work in Qatar is supported by the NPRP 8-028-1-001 Project with the Qatar National Research Fund (a member of the Qatar Foundation). MRB also acknowledges support by the Al Sraiya Holding Group. The authors wish to express thanks to Dr. Yun-Zhou Sun for suggestions.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Human participants

This article does not contain any studies with animals or human participants performed by any of the authors.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  • Jia-Xi Cheng
    • 1
  • Si-Liu Xu
    • 1
    Email author
  • Milivoj R. Belić
    • 2
  • Hong Li
    • 1
  • Yuan Zhao
    • 1
  • Wen-Wu Deng
    • 1
  • Yun-Zhou Sun
    • 3
  1. 1.The School of Electronic and Information EngineeringHubei University of Science and TechnologyXianningChina
  2. 2.Science ProgramTexas A&M University at QatarDohaQatar
  3. 3.Department of PhotoelectricityWuhan Textile UniversityWuhanChina

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