Opt Lett. 2018 Jun 1;43(11):2688-2691. doi: 10.1364/OL.43.002688.
We consider the model of fiber-laser cavities near the zero-dispersion point, based on the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity and third-order dispersion (TOD) term. It is known that this model supports stable dissipative solitons. We demonstrate that the same model gives rise to several specific families of robust bound states of solitons. There are both stationary and dynamical bound states, with constant or oscillating separation between the bound solitons. Stationary states are multistable, corresponding to different values of the separation. Following the increase of the TOD coefficient, the stationary bound state with the smallest separation gives rise to the oscillatory one through the Hopf bifurcation. Further growth of TOD leads to a bifurcation transforming the oscillatory bound state into a chaotically oscillating one. Families of multistable three- and four-soliton complexes are found too, the ones with the smallest separation between the solitons again ending by the transition to oscillatory states through the Hopf bifurcation.
我们考虑了基于复 Ginzburg-Landau 方程的光纤腔模型，该方程具有三次-五次非线性和三阶色散（TOD）项。已知该模型支持稳定的耗散孤子。我们证明了相同的模型会产生几种特定的孤子束缚态族。存在固定和动态束缚态，束缚孤子之间的分离具有恒定或振荡。固定态是多稳定的，对应于不同的分离值。随着 TOD 系数的增加，具有最小分离的固定束缚态通过 Hopf 分岔产生振荡态。进一步增加 TOD 会导致分岔，将振荡束缚态转变为混沌振荡态。还发现了多稳定三孤子和四孤子复合物的族，其中具有最小分离的孤子再次通过 Hopf 分岔过渡到振荡状态。
