Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrodinger Equation

被引：8

作者：

Zhou, Huijuan ^{[1
]}

Li, Chuanzhong ^{[1
]}

Lin, Yueh-Lung ^{[2
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

[2] Univ Nottingham, Sch Math Sci, Ningbo 315100, Zhejiang, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷

基金：

中国国家自然科学基金;

关键词：

NON-HERMITIAN HAMILTONIANS; SYMMETRY; SOLITONS; REAL;

D O I：

10.1155/2018/9216286

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, we investigate an integrable weakly coupled nonlocal nonlinear Schrodinger (WCNNIS) equation including its Lax pair. Afterwards, Darboux transformation (DT) of the weakly coupled nonlocal NLS equation is constructed, and then the degenerated Darboux transformation can be got from Darboux transformation. Applying the degenerated Darboux transformation, the new solutions (q([1]), r([1])) and self-potential function (V-[1]) are created from the known solutions (q, r). The (q([1]), r([1])) satisfy the parity-time (PT) symmetry condition, and they are rational solutions with two free phase parameters of the weakly coupled nonlocal nonlinear Schrodinger equation. From the plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution arc produced.

引用

页数：12

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