We have investigated the elliptical vortex structures in dissipative media governed by the fractional complex cubic-quintic Ginzburg–Landau model. Stable regions of generating dissipative fundamental, dipole, tripole and fourpole solitons are found for relatively small elliptical coefficient (e ) at values of (LI) , which can produce critical or supercritical collapse in free space. By adjusting the system parameters, the elliptical vortex can evolve into the circular ones and remain stable circular vortex structure with given topological charge of the vorticity S (from 1 to 4). Effects of the value of the respective LI on stability regions of generation stable circular vortex solitons have been investigated in detail. These results have potential applications in optical signal processing.

我们已经研究了由分数复立方五次 Ginzburg-Landau 模型控制的耗散介质中的椭圆涡结构。对于相对较小的椭圆系数 (e )，在(LI) 的值下会发现产生耗散基波、偶极、三极和四极孤子的稳定区域，这会在自由空间产生临界或超临界坍缩。通过调整系统参数，椭圆涡可以演化为圆形涡，并在涡量S 的拓扑电荷给定的情况下保持稳定的圆形涡结构（从 1 到 4）。已经详细研究了各个 LI 值对产生稳定圆形涡旋孤子的稳定区域的影响。这些结果在光信号处理中具有潜在的应用。