Interactions between optical bullets with different velocities in the three－dimensional cubic－quintic complex Ginzburg－Landau equation

doi:10.1088/1674-1056/19/4/044209

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 44209-044209.doi: 10.1088/1674-1056/19/4/044209

Interactions between optical bullets with different velocities in the three－dimensional cubic－quintic complex Ginzburg－Landau equation

郑浪, 唐翌

Department of Physics and Institute of Modern Physics, Xiangtan University, Xiangtan 411105, China

收稿日期:2009-04-14 修回日期:2009-07-08 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the Key Project of the Educational Department of Hunan Province of China (Grant No.~04A058), and the General Project of the Educational Department of Hunan Province of China (Grant No.~07C754).

Interactions between optical bullets with different velocities in the three－dimensional cubic－quintic complex Ginzburg－Landau equation

Zheng Lang(郑浪) and Tang Yi(唐翌)^†

Department of Physics and Institute of Modern Physics, Xiangtan University, Xiangtan 411105, China

Received:2009-04-14 Revised:2009-07-08 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the Key Project of the Educational Department of Hunan Province of China (Grant No.~04A058), and the General Project of the Educational Department of Hunan Province of China (Grant No.~07C754).

摘要/Abstract

摘要： By using the three-dimensional complex Ginzburg--Landau equation with cubic--quintic nonlinearity, this paper numerically investigates the interactions between optical bullets with different velocities in a dissipative system. The results reveal an abundance of interesting behaviours relating to the velocities of bullets: merging of the optical bullets into a single one at small velocities; periodic collisions at large velocities and disappearance of two bullets after several collisions in an intermediate region of velocity. Finally, it also reports that an extra bullet derives from the collision of optical bullets when optical bullets are at small velocities but with high energies.

Abstract: By using the three-dimensional complex Ginzburg--Landau equation with cubic--quintic nonlinearity, this paper numerically investigates the interactions between optical bullets with different velocities in a dissipative system. The results reveal an abundance of interesting behaviours relating to the velocities of bullets: merging of the optical bullets into a single one at small velocities; periodic collisions at large velocities and disappearance of two bullets after several collisions in an intermediate region of velocity. Finally, it also reports that an extra bullet derives from the collision of optical bullets when optical bullets are at small velocities but with high energies.

Key words: optical bullet, dissipative soliton, complex Ginzburg--Landau equation

中图分类号: (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)

42.65.Sf

42.65.Tg (Optical solitons; nonlinear guided waves) 42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation)

郑浪, 唐翌. Interactions between optical bullets with different velocities in the three－dimensional cubic－quintic complex Ginzburg－Landau equation[J]. 中国物理B, 2010, 19(4): 44209-044209.

Zheng Lang(郑浪) and Tang Yi(唐翌). Interactions between optical bullets with different velocities in the three－dimensional cubic－quintic complex Ginzburg－Landau equation[J]. Chin. Phys. B, 2010, 19(4): 44209-044209.

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Interactions between optical bullets with different velocities in the three－dimensional cubic－quintic complex Ginzburg－Landau equation

Interactions between optical bullets with different velocities in the three－dimensional cubic－quintic complex Ginzburg－Landau equation

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