AI 中文总结
该研究针对受扰三次非线性薛定谔方程描述的非线性波导阵列系统，采用广义洛特卡-沃尔泰拉模型，通过数值模拟验证了多碰撞脉冲序列向时空混沌的过渡，两种模型的能量动力学结果一致性极佳。
AI 中文摘要
我们首次展示了受扰三次非线性薛定谔（NLS）方程描述的系统中，多碰撞脉冲序列向时空混沌的过渡。为此，我们考虑在两种不同类型的带有三次增益和损耗的非线性波导阵列中，多序列光脉冲的传播。通过采用NLS孤子的微扰理论，我们证明波导阵列系统中的脉冲能量动力学由广义洛特卡-沃尔泰拉（LV）模型描述，该模型在参数空间的宽区域内表现出耗散混沌。我们通过对耦合NLS方程的受扰系统进行大量数值模拟，验证了LV模型对脉冲能量混沌动力学的预测。尽管存在强烈的脉冲模式畸变和动力学的强非线性特性，我们发现两种波导阵列系统中，LV模型与耦合NLS模型的能量动力学结果之间存在极好的一致性。
英文摘要
We present the first demonstration of transition to spatiotemporal chaos with multiple colliding pulse sequences in systems described by perturbed cubic nonlinear Schrödinger (NLS) equations. For this purpose, we consider propagation of multiple sequences of optical pulses in two distinct types of nonlinear waveguide arrays with cubic gain and loss. By employing a perturbation theory for NLS solitons, we show that the dynamics of pulse energies in the waveguide array systems is described by generalized Lotka-Volterra (LV) models, which exhibit dissipative chaos in a wide region in parameter space. We test the LV models' predictions for chaotic dynamics of pulse energies by extensive numerical simulations with perturbed systems of coupled-NLS equations. We find excellent agreement between the results of the LV and coupled-NLS models for energy dynamics in both types of waveguide array systems, despite the strong pulse pattern distortions and the strongly nonlinear nature of the dynamics.
Comments61 pages, 85 figures
