Akhmediev, N. and Ankiewicz, A. (2003) Solitons around Us: Integrable, Hamiltonian and Dissipative Systems. In: Porsezian, K. and Kurakose, V.C., Eds., Optical Solitons: Theoretical and Experimental Challenges, Springer, Heidelberg.

has been cited by the following article:

• TITLE: Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems

  AUTHORS: A. Konaté, E. Soro, O. Asseu, A. Kamagaté, P. Yoboué

  KEYWORDS: Dissipative Solitons, Dispersion, Nonlinear Gain, Collective Variables Approach, Complex Cubic-Quintic Ginzburg-Landau Equation, (3D) Three-Dimensional Soliton, Spatio-Temporal Pulses

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.10, October 23, 2015

  ABSTRACT: We feature the stationary solutions of the 3D complex cubic-quintic Ginzburg-Landau equation (CGLE). Our approach is based on collective variables approach which helps to obtain a system of variational equations, giving the evolution of the light pulses parameters as a function of the propagation distance. The collective variables approach permits us to obtain, efficiently, a global mapping of the 3D stationary dissipative solitons. In addition it allows describing the influence of the parameters of the equation on the various physical parameters of the pulse and their dynamics. Thus it helps to show the impact of dispersion and nonlinear gain on the stationary dynamic.