Exact solutions and Darboux transformation for the reverse space-time non-local fifth-order non-linear Schrodinger equation

被引：0
|
作者：
Shi, Xinrui [1 ,2 ]
Yang, Yunqing [1 ,2 ]
机构：
[1] Zhejiang Ocean Univ, Sch Informat Engn, Zhoushan, Peoples R China
[2] Key Lab Oceanog Big Data Min & Applicat Zhejiang P, Zhoushan, Peoples R China
来源：
FRONTIERS IN PHYSICS | 2023年 / 11卷
关键词：
non-local fifth-order non-linear Schrodinger equation; Darboux transformation; soliton; rogue wave; integrable system; RIEMANN-HILBERT APPROACH; SOLITON-SOLUTIONS; ROGUE WAVES; LATTICE;
D O I：
10.3389/fphy.2023.1179961
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the non-local reverse space-time fifth-order non-linear Schrodinger(NLS) equation has been investigated, which is proposed by the non-local reduction of Ablowitz-Kaup-Newell-Segur (AKNS) scattering problems. The determinant representation of the Nth Darboux transformation for the non-local reverse space-time fifth-order NLS equation is obtained. Some interesting non-linear wave solutions, including soliton, complexiton, and rogue wave solutions, are derived by the Darboux transformation. Moreover, the dynamics of non-linear wave solutions are illustrated with the corresponding evolution plots, and the results show that the non-local fifth-order NLS equation has new different properties from the local case.
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页数：8
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