具有线性增益和非线性损耗的光学介质中波前的动力学
Dynamics of fronts in optical media with linear gain and nonlinear losses
摘要：
考虑了具有增益和损耗的色散介质中的波前或扭结的动力学。结果表明，波前参数，如速度和宽度，依赖于初始条件。这个结果对于耗散系统来说并不典型。在指数下降的初始条件下，得到了波前参数的关系，证明了当孤子解被波前解所取代时，存在全局分支。为了观测锋面，锋面速度应大于调制不稳定性的特征速度。
英文摘要：
The dynamics of fronts, or kinks, in dispersive media with gain and losses is considered. It is shown that the front parameters, such as the velocity and width, depend on initial conditions. This result is not typical for dissipative systems. For exponentially decreasing initial conditions, the relations for the front parameters are found. A presence of the global bifurcation, when a soliton solution is replaced by the front solution, is demonstrated. It is also shown that in order to observe fronts, the front velocity should be larger than the characteristic velocity of the modulational instability.
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