Ankiewicz A, Królikowski W, Akhmediev N N
Australian Photonics CRC, Optical Sciences Centre, Research School of Physical Sciences and Engineering, The Australian National University, Canberra 0200, Australian Capital Territory, Australia.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 May;59(5 Pt B):6079-87. doi: 10.1103/physreve.59.6079.
We carry out a theoretical investigation of the properties of partially coherent solitons for media which have a slow Kerr-like nonlinearity. We find exact solutions of the Nth-order Manakov equations in a general form. These describe partially coherent solitons (PCSs) and their collisions. In fact, the exact solutions allow us to analyze important properties of PCSs such as stationary profiles of the spatial beams and effects resulting from their collisions. In particular, we find, analytically, the number of parameters that control the soliton shape. We present profiles which are symmetric as well as those which are asymmetric. We also find that collisions allow the profiles to remain stationary but cause their shapes to change.
我们对具有慢类克尔非线性的介质中部分相干孤子的性质进行了理论研究。我们找到了一般形式的N阶马纳科夫方程的精确解。这些解描述了部分相干孤子（PCS）及其碰撞。事实上，精确解使我们能够分析PCS的重要性质，如空间光束的稳态轮廓及其碰撞产生的效应。特别是，我们通过解析得到了控制孤子形状的参数数量。我们给出了对称和不对称的轮廓。我们还发现，碰撞使轮廓保持静止，但会导致其形状发生变化。
