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Analytical spatiotemporal similaritons for the generalized (3+1)-dimensional Gross–Pitaevskii equation with an external harmonic trap

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  • Dai, Chaoqing
  • Chen, Ruipin
  • Zhang, Jiefang

Abstract

We study the generalized (3+1)-dimensional Gross–Pitaevskii equation with time-dependent nonlinearity, harmonic trap and gain or loss, and obtain bright and dark spatiotemporal similaritons, whose form originates from the exact balance between the nonlinearity, harmonic trap and the gain/loss. Based on these analytical solutions, we firstly discuss the solitonic similaritons interaction and control in a exponential amplification system. Secondly, we investigate the nonlinear tunnelling of bright and dark similariton pairs passing through the nonlinear barrier and well. Results indicate that the similariton can be compressed to a desired width and amplitude in a controllable manner by the choice of the barrier (or well) parameters.

Suggested Citation

  • Dai, Chaoqing & Chen, Ruipin & Zhang, Jiefang, 2011. "Analytical spatiotemporal similaritons for the generalized (3+1)-dimensional Gross–Pitaevskii equation with an external harmonic trap," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 862-870.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:10:p:862-870
    DOI: 10.1016/j.chaos.2011.07.004
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    Cited by:

    1. Zhang, Ying-Qian & Wang, Xing-Yuan, 2014. "Spatiotemporal chaos in mixed linear–nonlinear coupled logistic map lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 104-118.

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