Integrable nonlocal vector nonlinear Schrodinger equation with self-induced parity-time-symmetric potential

被引：76

作者：

Sinha, Debdeep ^{[1
]}

Ghosh, Pijush K. ^{[1
]}

机构：

[1] Visva Bharati Univ, Dept Phys, Siksha Bhavana, Santini Ketan 731235, W Bengal, India

来源：

PHYSICS LETTERS A | 2017年 / 381卷 / 03期

关键词：

Integrable system; Soliton; PT-symmetry; Vector nonlinear Schrodinger equation; NON-HERMITIAN HAMILTONIANS; PSEUDO-HERMITICITY; PT-SYMMETRY; WAVES; SOLITONS;

D O I：

10.1016/j.physleta.2016.11.002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A two component nonlocal vector nonlinear Schrodinger equation (VNLSE) is considered with a self-induced parity-time-symmetric potential. It is shown that the system possess a Lax pair and an infinite number of conserved quantities and hence integrable. Some of the conserved quantities like number operator, Hamiltonian etc. are found to be real-valued, in spite of the corresponding charge densities being complex. The soliton solution for the same equation is obtained through the method of inverse scattering transformation and the condition of reduction from nonlocal to local case is mentioned. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：124 / 128

页数：5

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