Nonlinear Airy Light Bullets in a 3D Self-Defocusing Medium

Wei Ping Zhong*, Milivoj Belić, Zhengping Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

The (3+1)-dimensional [(3+1)D] nonlinear Schrödinger (NLS) equation is investigated, describing the propagation of nonlinear spatiotemporal wave packets in a self-defocusing medium, and a new type of Airy spatiotemporal solutions is presented. By using the reductive perturbation method, the (3+1)D NLS equation is reduced to the spherical Kortewegde Vries (SKdV) equation. Based on the Hirota's bilinear method, the bilinear form of the SKdV equation is constructed and Airy light bullet (LB) solutions of different orders are obtained, which depend on the sets of two free constants associated with the amplitude and initial phase. The results show that these Airy LBs can exist in the self-defocusing medium and their intensities can be controlled by selecting the suitable free parameters along the propagation distance. As examples, three types of low-order approximate LB solutions are presented and their intensity profiles numerically discussed. The obtained results are helpful in exploring nonlinear phenomena in a self-defocusing medium and providing a new approach for possible experimental verification of LBs.

Original languageEnglish
Article number1800059
JournalAnnalen der Physik
Volume530
Issue number8
DOIs
Publication statusPublished - Aug 2018
Externally publishedYes

Keywords

  • Airy light bullet solutions
  • light bullets
  • spherical Korteweg–de Vries equation

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