摘要

Three families of exact analytical solutions of a generalized nonlinear coupled cubic-quintic complex Ginzburg-Landau equations are obtained. These families of solitary waves which describe the evolution of progressive bright-bright, front-front, dark-dark, and other families of solitary waves are investigated. Using total energy of pulse modes, a loss-gain analysis due to nonlinearity in comparison to a linear gain is done. The stability of the solitary waves is examined using linear stability analysis and also a complete numerical stability of these families of solutions is provided. The results reveal that most of the solitary waves obtained here can propagate in a stable way under slight perturbation of white noise and the disturbance of parameters of the system.

  • 出版日期2013-8