Dynamical behavior of the optical traveling pulses for the resonant nonlinear Schrödinger (RNS) equation with external periodic force is studied. Using a complex transformation we obtain an unperturbed dynamical system for the RNS equation. Existence of periodic optical pulses, solitary optical pulses of dark and bright types, breaking optical pulses is dispensed using phase plane analysis of the unperturbed dynamical system. Introducing an external perturbation to the unperturbed dynamical system, quasiperiodicity and chaotic features of the nonlinear optical pulses for the perturbed dynamical system are studied by varying the resonance parameter (c) with special values of other system parameters through different computational tools, like time series plot, phase plot, sensitivity plot, Lyapunov exponent, and Poincare section. The resonance parameter (c) acts as a control parameter on qualitative transition of the nonlinear optical pulses for the perturbed dynamical system from quasiperiodic motion to chaotic motion.

中文翻译：

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具有外部周期力的谐振非线性薛定谔方程的光行进脉冲的动力学行为

研究了具有外部周期力的谐振非线性薛定谔(RNS)方程的光学行进脉冲的动力学行为。使用复杂的变换，我们获得了 RNS 方程的未受扰动的动力系统。周期性光脉冲、暗和亮类型的孤立光脉冲、中断光脉冲的存在是使用未受扰动的动态系统的相平面分析来分配的。将外部扰动引入未扰动的动力系统，通过不同的计算工具（如时间序列图）改变共振参数（c）与其他系统参数的特殊值，研究了扰动动力系统的非线性光脉冲的准周期性和混沌特征、相位图、灵敏度图、李雅普诺夫指数和庞加莱截面。