Soliton solutions to a reverse-time non-local nonlinear Schrodinger differential equation

被引：5

作者：

Huang, Qiaofeng ^{[1
]}

Ruan, Chenzhi ^{[1
]}

Huang, Zishan ^{[1
]}

Huang, Jiaxing ^{[2
]}

机构：

[1] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China

[2] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China

来源：

PRAMANA-JOURNAL OF PHYSICS | 2022年 / 97卷 / 01期

关键词：

KP hierarchy reduction; parity-time symmetry; Hirota's bilinearity; non-local nonlinear Schrodinger equation; soliton; INVERSE SCATTERING TRANSFORM; RATIONAL SOLUTIONS; ZERO;

D O I：

10.1007/s12043-022-02491-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Under vanishing and non-vanishing boundary conditions, we consider general soliton solutions of a fully PT-symmetric multidimensional non-local nolinear Schrodinger equation with time reversal. Concrete expressions could be written as N x N Gram-type determinants by employing Hirota's bilinearity and the KP hierarchy reduction, for positive integer N. Furthermore, the typical dynamics and behaviours of high-order soliton solutions are illustrated graphically.

引用

页数：8

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