Manipulation of light in a generalized coupled Nonlinear Schrodinger equation

被引：12

作者：

Radha, R. ^{[1
]}

Vinayagam, P. S. ^{[1
]}

Porsezian, K. ^{[2
]}

机构：

[1] Govt Coll Women Autonomous, Ctr Nonlinear Sci CeNSc, PG & Res Dept Phys, Kumbakonam 612001, India

[2] Pondicherry Univ, Dept Phys, Pondicherry 605014, India

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 37卷

关键词：

Coupled nonlinear Schrodinger system; Bright soliton; Gauge transformation; Lax pair; DISPERSIVE DIELECTRIC FIBERS; OPTICAL PULSES; INTEGRABILITY; TRANSMISSION; SOLITONS;

D O I：

10.1016/j.cnsns.2016.01.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a generalized coupled nonlinear Schrodinger (GCNLS) equation containing Self-Phase Modulation (SPM), Cross-Phase Modulation (XPM) and Four Wave Mixing (FWM) describing the propagation of electromagnetic radiation through an optical fibre and generate the associated Lax-pair. We then construct bright solitons employing gauge transformation approach. The collisional dynamics of bright solitons indicates that it is not only possible to manipulate intensity (energy) between the two modes (optical beams), but also within a given mode unlike the Manakov model which does not have the same freedom. The freedom to manipulate intensity (energy) in a given mode or between two modes arises due to a suitable combination of SPM, XPM and FWM. While SPM and XPM are controlled by an arbitrary real parameter each, FWM is governed by two arbitrary complex parameters. The above model may have wider ramifications in nonlinear optics and Bose-Einstein Condensates (BECs). (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：354 / 361

页数：8

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