International Journal of Physics
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International Journal of Physics. 2016, 4(4), 78-84
DOI: 10.12691/ijp-4-4-2
Open AccessArticle

Stability of Dissipative Optical Solitons in the 2D Complex Swift-Hohenberg Equation

P. Yoboue1, A. Diby2, O. Asseu1, 3, and A. Kamagate1

1Ecole Supérieure Africaine des Technologies d’Information et de Communication (ESATIC), Abidjan, Côte d’Ivoire

2Université Félix Houphouët Boigny, Abidjan, Côte d’Ivoire

3Institut National Polytechnique Félix Houphouët Boigny (INP-HB), Yamoussoukro, Côte d’Ivoire

Pub. Date: June 01, 2016

Cite this paper:
P. Yoboue, A. Diby, O. Asseu and A. Kamagate. Stability of Dissipative Optical Solitons in the 2D Complex Swift-Hohenberg Equation. International Journal of Physics. 2016; 4(4):78-84. doi: 10.12691/ijp-4-4-2


This article deals with stationary localized solutions of the (2D) two-dimensional complex Swift-Hohenberg equation (CSHE). Our approach is based on the semi-analytical method of collective coordinate approach. According to the parameters of the equation and a suitable choice of ansatz, the stationary dissipative solitons of the 2D CSHE equation are mapped. This approach allows to describe the influence of the parameters of the equation on the various physical parameters of the pulse and their dynamics. Finally, the major impact of spectral filtering terms on the dynamic of the solitons is demonstrated.

dissipative soliton spatio-temporal collective coordinate approach Ginzburg-Landau equation complex Swift-Hohenberg equation spectral filtering

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