Share This Article:

Spatio-Temporal Pulsating Dissipative Solitons through Collective Variable Methods

Full-Text HTML XML Download Download as PDF (Size:924KB) PP. 1032-1041
DOI: 10.4236/jamp.2016.46108    1,414 Downloads   1,911 Views Citations


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.

Cite this paper

Asseu, O. , Diby, A. , Yoboué, P. and Kamagaté, A. (2016) Spatio-Temporal Pulsating Dissipative Solitons through Collective Variable Methods. Journal of Applied Mathematics and Physics, 4, 1032-1041. doi: 10.4236/jamp.2016.46108.

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.