Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1d condensates trapped in a double-well potential

E. Kengne; R. Vaillancourt; B. A. Malomed

doi:10.1142/S021797921005541X

Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1d condensates trapped in a double-well potential

E. Kengne^*, R. Vaillancourt, B. A. Malomed

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The modulational instability of the coupled GrossPitaevskii equation (alias nonlinear Schrödinger equation), which describes two BoseEinstein condensates trapped in an asymmetric double-well potential, is investigated. The nonlinear dispersion relation that relates the frequency and wave number of the modulating perturbations is found and its analysis shows several possibilities for the modulational stability region. Exact soliton and periodic solutions are constructed via elliptic ordinary differential equations.

Original language	English
Pages (from-to)	2211-2227
Number of pages	17
Journal	International Journal of Modern Physics B
Volume	24
Issue number	14
DOIs	https://doi.org/10.1142/S021797921005541X
State	Published - 10 Jun 2010

Funding

Funders	Funder number
Universitaire de la Franco-phonie

Keywords

BoseEinstein condensate
Modulational instability
coupled Gross-Pitaevskii equation
elliptic ordinary differential equations

Access to Document

10.1142/S021797921005541X

Cite this

@article{8ce78de7c5a14f01a42e828d93003fc6,

title = "Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1d condensates trapped in a double-well potential",

abstract = "The modulational instability of the coupled GrossPitaevskii equation (alias nonlinear Schr{\"o}dinger equation), which describes two BoseEinstein condensates trapped in an asymmetric double-well potential, is investigated. The nonlinear dispersion relation that relates the frequency and wave number of the modulating perturbations is found and its analysis shows several possibilities for the modulational stability region. Exact soliton and periodic solutions are constructed via elliptic ordinary differential equations.",

keywords = "BoseEinstein condensate, Modulational instability, coupled Gross-Pitaevskii equation, elliptic ordinary differential equations",

author = "E. Kengne and R. Vaillancourt and Malomed, {B. A.}",

note = "Funding Information: This research was partially supported by the Programme “Soutien et ren-forcement de l{\textquoteright}excellence universitaire” de l{\textquoteright}Agence Universitaire de la Franco-phonie, projects “Professeurs-chercheurs invit{\'e}s du Sud,” the Natural Sciences and",

year = "2010",

month = jun,

day = "10",

doi = "10.1142/S021797921005541X",

language = "אנגלית",

volume = "24",

pages = "2211--2227",

journal = "International Journal of Modern Physics B",

issn = "0217-9792",

publisher = "World Scientific",

number = "14",

}

TY - JOUR

T1 - Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1d condensates trapped in a double-well potential

AU - Kengne, E.

AU - Vaillancourt, R.

AU - Malomed, B. A.

N1 - Funding Information: This research was partially supported by the Programme “Soutien et ren-forcement de l’excellence universitaire” de l’Agence Universitaire de la Franco-phonie, projects “Professeurs-chercheurs invités du Sud,” the Natural Sciences and

PY - 2010/6/10

Y1 - 2010/6/10

N2 - The modulational instability of the coupled GrossPitaevskii equation (alias nonlinear Schrödinger equation), which describes two BoseEinstein condensates trapped in an asymmetric double-well potential, is investigated. The nonlinear dispersion relation that relates the frequency and wave number of the modulating perturbations is found and its analysis shows several possibilities for the modulational stability region. Exact soliton and periodic solutions are constructed via elliptic ordinary differential equations.

AB - The modulational instability of the coupled GrossPitaevskii equation (alias nonlinear Schrödinger equation), which describes two BoseEinstein condensates trapped in an asymmetric double-well potential, is investigated. The nonlinear dispersion relation that relates the frequency and wave number of the modulating perturbations is found and its analysis shows several possibilities for the modulational stability region. Exact soliton and periodic solutions are constructed via elliptic ordinary differential equations.

KW - BoseEinstein condensate

KW - Modulational instability

KW - coupled Gross-Pitaevskii equation

KW - elliptic ordinary differential equations

UR - http://www.scopus.com/inward/record.url?scp=77954127251&partnerID=8YFLogxK

U2 - 10.1142/S021797921005541X

DO - 10.1142/S021797921005541X

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:77954127251

SN - 0217-9792

VL - 24

SP - 2211

EP - 2227

JO - International Journal of Modern Physics B

JF - International Journal of Modern Physics B

IS - 14

ER -

Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1d condensates trapped in a double-well potential

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this