PT-symmetric solitons in networks: a metric graph based approach

被引：0
|
作者：
Akramov, M. [1 ]
Eshchanov, B. [2 ]
Khashimova, F. [3 ]
Matrasulov, D. [4 ,5 ]
机构：
[1] Natl Univ Uzbekistan, 4 Univ Str, Tashkent 100174, Uzbekistan
[2] Chirchik State Pedag Univ, 104 Amir Temur Str, Tashkent 111700, Uzbekistan
[3] Navoi State Min Inst, 27 Janubiy Str, Navoi 210100, Uzbekistan
[4] Turin Polytech Univ Tashkent, 17 Niyazov Str, Tashkent 100095, Uzbekistan
[5] Khazar Univ, Ctr Theoret Phys, 41 Mehseti Str, Baku, Azerbaijan
来源：
PHYSICA SCRIPTA | 2024年 / 99卷 / 11期
关键词：
PT-symmetric solitons on graphs; complex PT-symmetric potential; linear stability; STANDING WAVES;
D O I：
10.1088/1402-4896/ad87bb
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a model for networks approving PT-symmetric standing solitons. The model is described in terms of the nonlinear Schrodinger equation on metric graphs, with complex PT-symmetric potential given on each bond. Exact soliton solutions of the problem are obtained. The stability analysis of the PT-symmetric standing solitons on the star graph is studied. Extension for other graph topologies is demonstrated by considering a metric tree graph.
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页数：8
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