论文标题
在高度分散的立方敏感培养基中的周期性和孤立波的传播，具有自频转移和自我验证的非线性
Propagation of periodic and solitary waves in a highly dispersive cubic-quintic medium with self-frequency shift and self-steepening nonlinearity
论文作者
论文摘要
我们研究了飞秒光脉冲传播的动力学，在表现出直至第四阶的分散效果以及自频移动和自我验证的非线性的情况下，表现出分散效果。在存在自频移动和自我验证效果的情况下，为管理广义的高阶非线性schrödinger方程而得出了各种周期性和孤立波解。发现周期性和孤立波的频移，逆速度，幅度和波数也取决于分散系数和非线性参数。介绍了这些结构存在的光纤参数的条件。通过添加白噪声来研究这些周期性和孤立波解的稳定性。通过使用数值拆分傅立叶方法证明，这些非线性波的轮廓在进化过程中保持不变。
We study the dynamics of femtosecond light pulse propagation in a cubic-quintic medium exhibiting dispersive effect up to the fourth order as well as self-frequency shift and self-steepening nonlinearity. A rich variety of periodic and solitary wave solutions are derived for the governing generalized higher-order nonlinear Schrödinger equation in the presence of self-frequency shift and self-steepening effects. It is found that the frequency shift, inverse velocity, amplitude and wave number of both periodic and solitary waves depend on dispersion coefficients and nonlinearity parameters as well. The conditions on optical fiber parameters for the existence of these structures are presented. The stability of these periodic and solitary wave solutions is studied numerically by adding white noise. It is proved by using the numerical split-step Fourier method that the profile of these nonlinear waves remains unchanged during evolution.
