论文标题
复杂的金茨堡 - 兰道方程的定期固定解决方案的基本范围
The essential spectrum of periodically-stationary solutions of the complex Ginzburg-Landau equation
论文作者
论文摘要
我们建立了单型操作员的存在和规律性特性，以涉及周期性固定溶液（呼吸器）溶液的立方Quintic复合物Ginzburg-Landau方程的线性化。我们从相关的渐近线性差异算子的角度来得出单构操作员必需光谱的公式。在Ginzburg-Landau方程包括光谱滤波（扩散）项的假设下，使用分析分析理论获得了该结果。我们讨论了在超快纤维激光器中定期稳定脉冲的稳定性的应用。
We establish the existence and regularity properties of a monodromy operator for the linearization of the cubic-quintic complex Ginzburg-Landau equation about a periodically-stationary (breather) solution. We derive a formula for the essential spectrum of the monodromy operator in terms of that of the associated asymptotic linear differential operator. This result is obtained using the theory of analytic semigroups under the assumption that the Ginzburg-Landau equation includes a spectral filtering (diffusion) term. We discuss applications to the stability of periodically-stationary pulses in ultrafast fiber lasers.
