Nonlinear Dynamics

, Volume 86, Issue 2, pp 999–1005 | Cite as

Vector spatiotemporal localized structures in (3 \(+\) 1)-dimensional strongly nonlocal nonlinear media

  • Chao-Qing Dai
  • Yan Fan
  • Guo-Quan Zhou
  • Jun Zheng
  • Liang Chen
Original Paper


We investigate the (3 \(+\) 1)-dimensional coupled nonlocal nonlinear Schrödinger equation in the inhomogeneous nonlocal nonlinear media and derive analytical vector spatiotemporal localized solution. Based on this solution, Gaussian solitons and some symmetric multipole patterns around the point \((x, y) =(0,0)\) can be constructed. The change trends of the amplitude and width of solitons are opposite, and they finally tend to a certain value. The compression and expansion of spatiotemporal localized structures are also studied in an exponential diffraction decreasing system.


Vector spatiotemporal solitons (3 \(+\) 1)-dimensional coupled nonlocal nonlinear Schrödinger equation Strongly nonlocal nonlinear media 



This work was supported by the National Natural Science Foundation of China (Grant Nos. 11375007 and 11574272) and Zhejiang Provincial Natural Science Foundation of China (Grant Nos. Y17F050046 and LY16A040014). Dr. Chao-Qing Dai is also sponsored by the Foundation of New Century “151 Talent Engineering” of Zhejiang Province of China and Youth Top-notch Talent Development and Training Program of Zhejiang A&F University.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Chao-Qing Dai
    • 1
  • Yan Fan
    • 1
  • Guo-Quan Zhou
    • 1
  • Jun Zheng
    • 1
  • Liang Chen
    • 1
  1. 1.School of SciencesZhejiang A & F UniversityLin’anPeople’s Republic of China

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