论文标题

公制图上的Manakov系统:建模网络中向量孤子的反射传播

Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks

论文作者

Yusupov, J. R., Matyokubov, Kh. Sh., Ehrhardt, M., Matrasulov, D. U.

论文摘要

我们认为Manakov Solitons在网络中的无反射运输。该系统是根据Manakov系统在分支点处受透明边界条件的公制图上建模的。简单的约束结合了等效的通常的基尔chhoff顶点条件与透明条件,是根据非线性系数得出的。 尽管该方法用于度量星图,但很容易成为更复杂的图形拓扑的扩展。

We consider the reflectionless transport of Manakov solitons in networks. The system is modelled in terms of the Manakov system on metric graphs subject to transparent boundary conditions at the branching points. Simple constraints combining the equivalent usual Kirchhoff vertex conditions with the transparent conditions are derived in terms of nonlinearity coefficients. Although the method is used for a metric star graph, an extension to more complicated graph topologies is easily possible.

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