具有非线性色散的饱和五阶非线性介质中的光孤子
Optical solitons in saturable cubic-quintic nonlinear media with nonlinear dispersion
摘要：
利用扩展变分法研究了强短脉冲在具有非线性色散的饱和五阶非线性介质中的传输。我们推导出一个有效的脉冲宽度方程，并演示了如何实现饱和，由于非线性的非线性色散的存在。我们发现，非线性色散可以改变脉冲宽度，并在系统中诱导运动。诱导运动的方向取决于非线性色散的符号。脉冲在能量上稳定在平衡宽度。然而，扰动可以引起脉冲宽度的振荡，由于非线性色散，其频率总是较小的。我们检查的动力学稳定性的直接数值模拟。
英文摘要：
We study an intense-short pulse propagation in a saturable cubic-quintic nonlinear media in the presence of nonlinear dispersion within the framework of an extended variational approach. We derive an effective equation for the pulse width and demonstrate how the saturation due to nonlinearity is achieved in presence of nonlinear dispersion. We find that the nonlinear dispersion can change the pulse width and induce motion in the system. The direction of induced motion depends on the sign of nonlinear dispersion. The pulse is energetically stable at an equilibrium width. A disturbance can, however, induce oscillation in pulse width, the frequency of which is always smaller due to nonlinear dispersion. We check dynamical stability by a direct numerical simulation.
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