Dynamics of solitary-wave structures in one-dimensional Gross-Pitaevskii equation with distributed coefficients

被引：2

作者：

Kengne, Emmanuel ^{[1
]}

Lakhssassi, Ahmed ^{[1
]}

机构：

[1] Univ Quebec Outaouais, Dept Informat & Ingn, Gatineau, PQ J8Y 3G5, Canada

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2015年 / 130卷 / 10期

关键词：

BOSE-EINSTEIN CONDENSATION; MODULATIONAL INSTABILITY; SOLITONS; RESONANCES; GAS;

D O I：

10.1140/epjp/i2015-15197-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Motivated by recent experimental investigations in the context of matter wave solitons in Bose-Einstein condensates (BECs), we consider the 1+1 Gross-Pitaevskii equation with complex time-varying harmonic potential, and time-varying cubic and quintic nonlinearities. By performing a modified lens-type transformation for the one-dimensional GP equation, we present one and/or two parameter exact analytical solutions which describe the propagation of bright, kink, and dark solitary waves on the vanishing continuous wave (cw) background. Based on exact analytical solutions of the GP equation, we investigate analytically the dynamics of matter-wave solitons in the BEC systems. Our studies show that the solitons' amplitude depends on both the scattering length and the feeding/loss term of the potential while their motion depends on the external trapping potential and solution parameters.

引用

页数：11

共 43 条

[1] Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length [J].

Abdullaev, FK ;

Caputo, JG ;

Kraenkel, RA ;

Malomed, BA .

PHYSICAL REVIEW A, 2003, 67 (01) :10

[2]

Abdullaev FK, 2001, PHYS REV A, V63, DOI 10.1103/PhysRevA.63.043604

[3]

ABRAMOWITZ M, 1968, HDB MATH FUNCTIONS, P629

[4] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].

ANDERSON, MH ;

ENSHER, JR ;

MATTHEWS, MR ;

WIEMAN, CE ;

CORNELL, EA .

SCIENCE, 1995, 269 (5221) :198-201

[5] Localized nonlinear waves in systems with time- and space-modulated nonlinearities [J].

Belmonte-Beitia, Juan ;

Perez-Garcia, Victor M. ;

Vekslerchik, Vadym ;

Konotop, Vladimir V. .

PHYSICAL REVIEW LETTERS, 2008, 100 (16)

[6] Growth mechanism and photoluminescence of the SnO2 nanotwists on thin film and the SnO2 short nanowires on nanorods [J].

Bing, Wang ;

Ping, Xu .

CHINESE PHYSICS B, 2009, 18 (01) :324-332

[7] Internal Josephson-like tunnelling in two-component Bose-Einstein condensates affected by sign of the atomic interaction and external trapping potential [J].

Bo, Xiong ;

Xun-Xu, Liu .

CHINESE PHYSICS, 2007, 16 (09) :2578-2583

[8] Bose-Einstein condensation of lithium: Observation of limited condensate number [J].

Bradley, CC ;

Sackett, CA ;

Hulet, RG .

PHYSICAL REVIEW LETTERS, 1997, 78 (06) :985-989

[9] EVIDENCE OF BOSE-EINSTEIN CONDENSATION IN AN ATOMIC GAS WITH ATTRACTIVE INTERACTIONS [J].

BRADLEY, CC ;

SACKETT, CA ;

TOLLETT, JJ ;

HULET, RG .

PHYSICAL REVIEW LETTERS, 1995, 75 (09) :1687-1690

[10]

Chong GS, 2003, CHINESE PHYS LETT, V20, P2098, DOI 10.1088/0256-307X/20/12/003

← 1 2 3 4 5 →