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Spatio-Temporal Pulsating Dissipative Solitons through Collective Variable Methods 被引量:2

Spatio-Temporal Pulsating Dissipative Solitons through Collective Variable Methods
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摘要 A semi-analytical approach for the pulsating solutions of the 3D complex Cubic-quintic Ginzburg-Landau Equation (CGLE) is presented in this article. A collective variable approach is used to obtain a system of variational equations which give the evolution of the light pulses parameters as a function of the propagation distance. The collective coordinate approach is incomparably faster than the direct numerical simulation of the propagation equation. This allows us to obtain, efficiently, a global mapping of the 3D pulsating soliton. In addition it allows describing the influence of the parameters of the equation on the various physical parameters of the pulse and their dynamics. A semi-analytical approach for the pulsating solutions of the 3D complex Cubic-quintic Ginzburg-Landau Equation (CGLE) is presented in this article. A collective variable approach is used to obtain a system of variational equations which give the evolution of the light pulses parameters as a function of the propagation distance. The collective coordinate approach is incomparably faster than the direct numerical simulation of the propagation equation. This allows us to obtain, efficiently, a global mapping of the 3D pulsating soliton. In addition it allows describing the influence of the parameters of the equation on the various physical parameters of the pulse and their dynamics.
作者 Olivier Asseu Ambroise Diby Pamela Yoboué Aladji Kamagaté Olivier Asseu;Ambroise Diby;Pamela Yoboué;Aladji Kamagaté(Ecole Supérieure Africaine des Technologies de l’Information et de Communication (ESATIC), Abidjan, Cote d’Ivoire;Department of Electrical and Electronic Engineering, Institut National Polytechnique Houphouet Boigny (INPHB), Yamoussoukro, C&ocircte d’Ivoire;UFR des Sciences des Structure de la Matière et de Technologie de l’Université Félix Houphouet Boigny, Abidjan, Cote d’Ivoire)
出处 《Journal of Applied Mathematics and Physics》 2016年第6期1032-1041,共10页 应用数学与应用物理(英文)
关键词 Dissipative Soliton Pulsating Light Pulse Spatiotemporal Pulses Collective Variable Approach Complex Cubic-Quintic Ginzburg-Landau Equation Bifurcation Dissipative Soliton Pulsating Light Pulse Spatiotemporal Pulses Collective Variable Approach Complex Cubic-Quintic Ginzburg-Landau Equation Bifurcation
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