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.

引用

页数：8