离散Ginzburg-Landau方程中涡旋孤子族的多重性、相互作用和束缚态的形成
Multiplicity of vortex soliton families in the discrete Ginzburg-Landau equation, their interactions and the formation of bound states
摘要：
通过不同的延拓方法，我们揭示了离散五次复Ginzburg-Landau方程参数空间中一个宽的区域，在这个区域中存在多个稳定的涡旋孤子族.所有这些定态解具有对称的振幅分布和两个不同的拓扑荷。我们还发现了动态形成的各种“束缚态”的解决方案，由两个或两个以上的这些涡旋孤子。所有这些稳定的复合结构都保持在保守的立方极限，因为它们的功率含量很高。
英文摘要：
By using different continuation methods, we unveil a wide region in the parameter space of the discrete cubic-quintic complex Ginzburg-Landau equation, where several families of stable vortex solitons coexist. All these stationary solutions have a symmetric amplitude profile and two different topological charges. We also discover the dynamical formation of a variety of 'bound-state' solutions, composed of two or more of these vortex solitons. All of these stable composite structures persist in the conservative cubic limit, for high values of their power content.
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