广义Chen-Lee-Liu方程optical fibers中光脉冲的Riemann问题
Riemann problem for the light pulses in optical fibers for the generalized Chen-Lee-Liu equation
摘要：
我们提供了可能的波结构的分类，从最初的不连续的配置文件的光子流体在正常色散光纤中传播。光场动力学由广义Chen-Lee-Liu方程描述，该方程属于非线性薛定谔方程族，由于光纤材料对电磁信号变化的响应延迟而出现自陡型项。该方程也用于研究调制波通过单个非线性传输网络传播的动力学。我们给出了它的周期解和相应的Whitham调制方程。由初始参数剖面产生的波型由不同的构建块组成，详细介绍了这些构建块。结果表明，这种情况下的演化动力学比非线性薛定谔方程的演化动力学丰富得多。对于间断处所有可能的跳跃条件，给出了可能的波结构的完整分类。我们的分析结果证实了数值模拟。
英文摘要：
We provide the classification of possible wave structures evolving from initially discontinuous profiles for the photon fluid propagating in a normal dispersion fiber. The dynamics of light field is described by the generalized Chen-Lee-Liu equation, which belongs to the family of the nonlinear Schrödinger equations with a self-steepening type term appearing due to retardation of the fiber material response to variations of the electromagnetic signal. This equation is also used in investigations of the dynamics of modulated waves propagating through a single nonlinear transmission network. We describe its periodic solutions and the corresponding Whitham modulation equations. The wave patterns generated by the initial parameter profiles are composed of different building blocks which are presented in detail. It is shown that evolution dynamics in this case is much richer than that for the nonlinear Schrödinger equation. Complete classification of possible wave structures is given for all possible jump conditions at the discontinuity. Our analytic results are confirmed by numerical simulations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
