论文标题

公制图上的离散非局部非线性schroedinger方程:离散网络中PT对称孤子的动力学

Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks

论文作者

Akramov, M., Khashimova, F., Matrasulov, D.

论文摘要

我们考虑公制图上的PT对称,离散的非本地非线性schrödinger方程。对于最简单的图形拓扑,例如恒星和树图,可获得孤子解决方案。通过证明存在无限数量的保护法律,可以显示出该问题的整合性。

We consider PT-symmetric, discrete nonlocal nonlinear Schrödinger equation on metric graphs. Soliton solutions are obtained for simplest graph topologies, such as star and tree graphs. Integrability of the problem is shown by proving existence of infinite number of conservation laws.

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