Properties of pulsating solitons in dissipative systems

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

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.

Keywords: dissipative systems pulsating soliton bifurcation

Received: 23 November 2009
Revised: 01 March 2010
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.60.Cb	(Numerical simulation; solution of equations)

Cite this article:

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

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Properties of pulsating solitons in dissipative systems

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