Skarka V, Aleksić N B
Laboratoire POMA, UMR 6136 CNRS, Université d'Angers, 2, boulevard Lavoisier, 49045 Angers, Cedex 1, France.
Phys Rev Lett. 2006 Jan 13;96(1):013903. doi: 10.1103/PhysRevLett.96.013903. Epub 2006 Jan 11.
The generation and nonlinear dynamics of multidimensional optical dissipative solitonic pulses are examined. The variational method is extended to complex dissipative systems, in order to obtain steady state solutions of the (D + 1)-dimensional complex cubic-quintic Ginzburg-Landau equation (D = 1, 2, 3). A stability criterion is established fixing a domain of dissipative parameters for stable steady state solutions. Following numerical simulations, evolution of any input pulse from this domain leads to stable dissipative solitons.
研究了多维光学耗散孤子脉冲的产生及其非线性动力学。将变分方法扩展到复耗散系统，以获得（D + 1）维复立方-五次金兹堡-朗道方程（D = 1, 2, 3）的稳态解。建立了一个稳定性判据，确定了稳定稳态解的耗散参数域。通过数值模拟表明，来自该域的任何输入脉冲的演化都会导致稳定的耗散孤子。
