Kartashov Yaroslav V, Egorov Alexey A, Zelenina Anna S, Vysloukh Victor A, Torner Lluis
Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, E-08034 Barcelona, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):065605. doi: 10.1103/PhysRevE.68.065605. Epub 2003 Dec 24.
We address the properties of (1+1)-dimensional periodic waves in conservative saturable cubic nonlinear media and discover that cnoidal- and snoidal-type waves are completely stable within a broad range of parameters. The existence of stability bands is in sharp contrast with the previously known properties of periodic waves in self-focusing Kerr nonlinear media. We also found that in self-defocusing media instability bands occur, again in contrast to the case of Kerr media.
我们研究了保守型饱和立方非线性介质中(1 + 1)维周期波的特性，发现椭圆余弦波和正弦波型波在很宽的参数范围内是完全稳定的。稳定带的存在与之前已知的自聚焦克尔非线性介质中周期波的特性形成鲜明对比。我们还发现，在自散焦介质中会出现不稳定带，这同样与克尔介质的情况形成对比。
