Ginzburg-Landau方程的离散孤子
Discrete Solitons of the Ginzburg-Landau Equation
摘要：
在这一章中，我们回顾了最近的结果有关的本地化和扩展耗散解的离散复杂的Ginzburg-Landau方程。特别是，我们讨论了离散衍射效应所产生的线性和非线性特性，存在的自局域耗散孤子的存在下的五次项和调制不稳定性引起的饱和非线性。讨论了局域和扩展耗散离散孤子的动力学稳定性。
英文摘要：
In this chapter we review recent results concerning localized and extended dissipative solutions of the discrete complex Ginzburg-Landau equation. In particular, we discuss discrete diffraction effects arising both from linear and nonlinear properties, the existence of self-localized dissipative solitons in the presence of cubic-quintic terms and modulational instability induced by saturable nonlinearities. Dynamical stability properties of localized and extended dissipative discrete solitons are also discussed.
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