Petnikova V M, Shuvalov V V, Vysloukh V A
International Laser Center, M.V. Lomonosov Moscow State University, Vorob'evy Gory, Moscow 119899, Russia.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jul;60(1):1009-18. doi: 10.1103/physreve.60.1009.
An algorithm of building up a different class of stable self-consistent multicomponent periodical solutions of the nonlinear Schrödinger equation--multicomponent cnoidal waves--has been formulated by the example of a nonlinear wave propagating through a photorefractive crystal with a drift nonlinear response. Exact analytical expressions, describing distribution of light field in the components, have been obtained for solutions, which include up to three mutually incoherent components. It has been shown that such cnoidal waves are stable and their spatial structure is robust to collisions with the same cnoidal waves and to stochastic perturbations of the components' intensity distributions in a sufficiently wide range of changing spatial period.
通过一个具有漂移非线性响应的光折变晶体中传播的非线性波的例子，已经构建了一种算法，用于建立非线性薛定谔方程的一类不同的稳定自洽多分量周期解——多分量椭圆余弦波。对于包含多达三个相互非相干分量的解，已经获得了描述各分量中光场分布的精确解析表达式。结果表明，这种椭圆余弦波是稳定的，并且在足够宽的空间周期变化范围内，它们的空间结构对于与相同椭圆余弦波的碰撞以及分量强度分布的随机扰动具有鲁棒性。
