Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation
Finite-dimensional dynamical models for solitons of the cubic-quintic complex Ginzburg-Landau equation CGLE are derived. The models describe the evolution of the pulse parameters, such as the maximum amplitude, pulse width, and chirp. A clear correspondence between attractors of the finite-dimensional dynamical systems and localized waves of the continuous dissipative system is demonstrated. It is shown that stationary solitons of the CGLE correspond to fixed points, while pulsating...[Show more]
|Collections||ANU Research Publications|
|Source:||Physical Review E-Statistical, Nonlinear and Soft Matter Physics|
|Tsoy_Dynamical2006.pdf||353.84 kB||Adobe PDF|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.