Properties of pulsating solitons in dissipative systems

doi:10.1088/1674-1056/19/8/080512

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80512-080512.doi: 10.1088/1674-1056/19/8/080512

Properties of pulsating solitons in dissipative systems

吴亮, 郭志婕, 宋丽军

College of Physics and Electronics Engineering and the State Key Subject of Optics, Shanxi University, Taiyuan 030006, China

收稿日期:2009-11-23 修回日期:2010-03-01 出版日期:2010-08-15 发布日期:2010-08-15

Properties of pulsating solitons in dissipative systems

Wu Liang(吴亮), Guo Zhi-Jie(郭志婕), and Song Li-Jun(宋丽军)^†

College of Physics and Electronics Engineering and the State Key Subject of Optics, Shanxi University, Taiyuan 030006, China

Received:2009-11-23 Revised:2010-03-01 Online:2010-08-15 Published:2010-08-15

摘要/Abstract

摘要： In this paper, a set of detailed numerical simulations of pulsating solitons in certain regions, where the pulsating solitons exist, have been carried out. The results show that the transformation between pulsating soliton and fronts can be realised through a series of period-doubling bifurcations, while there exist many kinds of special solutions. The complete transformation diagram has been obtained when the value of nonlinear gain varies within a definite range. The detailed analysis of the diagram reveals that the pulsating soliton experiences period-doubling bifurcations for smaller values of the nonlinear gain. For larger values of it, the pulsating solitons show chaotic behaviour and complex pulse splitting except for some special bifurcations. With the value of nonlinear gain increasing further, the pulse profiles resume pulsating, but the pulse energy is much higher than before and the pulse centre may move along the propagation direction.

Abstract: In this paper, a set of detailed numerical simulations of pulsating solitons in certain regions, where the pulsating solitons exist, have been carried out. The results show that the transformation between pulsating soliton and fronts can be realised through a series of period-doubling bifurcations, while there exist many kinds of special solutions. The complete transformation diagram has been obtained when the value of nonlinear gain varies within a definite range. The detailed analysis of the diagram reveals that the pulsating soliton experiences period-doubling bifurcations for smaller values of the nonlinear gain. For larger values of it, the pulsating solitons show chaotic behaviour and complex pulse splitting except for some special bifurcations. With the value of nonlinear gain increasing further, the pulse profiles resume pulsating, but the pulse energy is much higher than before and the pulse centre may move along the propagation direction.

Key words: dissipative systems, pulsating soliton, bifurcation

中图分类号: (Solitons)

05.45.Yv

02.60.Cb (Numerical simulation; solution of equations)

吴亮, 郭志婕, 宋丽军. Properties of pulsating solitons in dissipative systems[J]. 中国物理B, 2010, 19(8): 80512-080512.

Wu Liang(吴亮), Guo Zhi-Jie(郭志婕), and Song Li-Jun(宋丽军). Properties of pulsating solitons in dissipative systems[J]. Chin. Phys. B, 2010, 19(8): 80512-080512.

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Properties of pulsating solitons in dissipative systems

Properties of pulsating solitons in dissipative systems

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