论文标题
抛物线培养基中的周期性和局部波，具有三阶和四阶分散
Periodic and localized waves in parabolic-law media with third- and fourth-order dispersions
论文作者
论文摘要
我们研究了具有高阶分散体和立方敏感非线性的光纤维培养基内的飞秒光脉冲的传播。这种系统中的脉冲演化受富含二，三阶分散和立方体和五分之性非线性的高阶非线性schr％Ödinger方程的控制。首次通过适当的方程方法首次确定新型的周期性波解。提出的结果表明，在高阶分散效应和立方敏感的非线性的综合影响下，系统中可能具有丰富的周期性波。还获得了适当的周期性解决方案的限制案例。发现这些结构的速度独特地取决于所有分散顺序。也提出了这些稳定非线性波形形式的光纤参数的条件。
We study the propagation of femtosecond light pulses inside an optical fiber medium exhibiting higher-order dispersion and cubic-quintic nonlinearities. Pulse evolution in such system is governed by a higher-order nonlinear Schr% ödinger equation incorporating second-, third-, and fourth-order dispersions as well as cubic and quintic nonlinearities. Novel classes of periodic wave solutions are identified for the first time by means of an appropriate equation method. Results presented indicated the potentially rich set of periodic waves in the system under the combined influence of higher-order dispersive effects and cubic-quintic nonlinearity. Solitary waves of both bright and dark types are also obtained as a limiting case for appropriate periodic solutions. It is found that the velocity of these structures is uniquely dependent on all orders of dispersion. Conditions on the optical fiber parameters for the existence of these stable nonlinear wave-forms are presented as well.
