Solitary wave solutions for high dispersive cubic-quintic nonlinear Schrodinger equation

被引：73

作者：

Azzouzi, F. ^{[1
]}

Triki, H. ^{[1
]}

Mezghiche, K. ^{[1
]}

El Akrmi, A. ^{[1
]}

机构：

[1] Badji Mokhtar Univ, Fac Sci, Dept Phys, Radiat Phys Lab, Annaba, Algeria

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 03期

关键词：

OPTICAL SOLITONS; MEDIA; LAW;

D O I：

10.1016/j.chaos.2007.06.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the higher-order dispersive nonlinear Schrodinger equation including fourth-order dispersion effects and a quintic nonlinearity. This equation describes the propagation of femtosecond light pulses ill a medium that exhibits a parabolic nonlinearity law. By adopting the ansatz solution of Li et al. [Zhonghao Li, Lu Li, Huiping Tian, Guosheng Zhou. New types of solitary wave solutions for the higher-order nonlinear Schrodinger equation. Phys Rev Lett 2000;84:4096], we find two different solitary wave solutions under certain parametric conditions. These solutions are ill the form of bright and dark soliton solutions. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1304 / 1307

页数：4

共 9 条

[1] Optical solitary waves in the higher order nonlinear Schrodinger equation [J].

Gedalin, M ;

Scott, TC ;

Band, YB .

PHYSICAL REVIEW LETTERS, 1997, 78 (03) :448-451

[2]

GOVIND P, 1992, PHYS REV A, V46, P1573

[3] TRANSMISSION OF STATIONARY NONLINEAR OPTICAL PULSES IN DISPERSIVE DIELECTRIC FIBERS .1. ANOMALOUS DISPERSION [J].

HASEGAWA, A ;

TAPPERT, F .

APPLIED PHYSICS LETTERS, 1973, 23 (03) :142-144

[4] Optical solitary wave solutions for the higher order nonlinear Schrodinger equation with cubic-quintic non-Kerr terms [J].

Hong, WP .

OPTICS COMMUNICATIONS, 2001, 194 (1-3) :217-223

[5] New types of solitary wave solutions for the higher order nonlinear Schrodinger equation [J].

Li, ZH ;

Li, L ;

Tian, HP ;

Zhou, GS .

PHYSICAL REVIEW LETTERS, 2000, 84 (18) :4096-4099

[6] Painleve analysis and bright solitary waves of the higher-order nonlinear Schrodinger equation containing third-order dispersion and self-steepening term [J].

Mihalache, D ;

Truta, N ;

Crasovan, LC .

PHYSICAL REVIEW E, 1997, 56 (01) :1064-1070

[7] Black optical solitons for media with parabolic nonlinearity law in the presence of fourth order dispersion [J].

Palacios, SL ;

Fernández-Díaz, JM .

OPTICS COMMUNICATIONS, 2000, 178 (4-6) :457-460

[8] Two simple ansatze for obtaining exact solutions of high dispersive nonlinear Schrodinger equations [J].

Palacios, SL .

CHAOS SOLITONS & FRACTALS, 2004, 19 (01) :203-207

[9] Optical solitons in highly dispersive media with a dual-power nonlinearity law [J].

Palacios, SL .

JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2003, 5 (03) :180-182

← 1 →