Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields

R. Castro López; Guo Hua Sun; O. Camacho-Nieto; C. Yáñez-Márquez; Shi Hai Dong

doi:10.1016/j.physleta.2017.07.012

Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields

R. Castro López, Guo Hua Sun, O. Camacho-Nieto, C. Yáñez-Márquez, Shi Hai Dong

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

12 Scopus citations

Abstract

We present analytical matter-wave solutions to a generalized Gross–Pitaevskii (GGP) equation with several new time and space varying nonlinearity coefficients and external fields. This is realized by taking a suitable similarity transformation to the GGP equation which makes the original partial differential equation into a stationary and ordinary differential equation. We report a few families of analytical solutions of the GGP equation with several new time and space varying nonlinearity interactions, in which some physically relevant soliton solutions are found. The profile features of the evolution wave functions depend on the different choices of the composite functions ξ.

Original language	English
Pages (from-to)	2978-2985
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	381
Issue number	35
DOIs	https://doi.org/10.1016/j.physleta.2017.07.012
State	Published - 18 Sep 2017

Keywords

Generalized Gross–Pitaevskii equation
Nonlinearity interactions
Similarity transformation
Solitons

Access to Document

10.1016/j.physleta.2017.07.012

Cite this

Castro López, R., Sun, G. H., Camacho-Nieto, O., Yáñez-Márquez, C., & Dong, S. H. (2017). Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields. Physics Letters, Section A: General, Atomic and Solid State Physics, 381(35), 2978-2985. https://doi.org/10.1016/j.physleta.2017.07.012

@article{c20f786757ab4e92824e90dd0e714151,

title = "Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields",

abstract = "We present analytical matter-wave solutions to a generalized Gross–Pitaevskii (GGP) equation with several new time and space varying nonlinearity coefficients and external fields. This is realized by taking a suitable similarity transformation to the GGP equation which makes the original partial differential equation into a stationary and ordinary differential equation. We report a few families of analytical solutions of the GGP equation with several new time and space varying nonlinearity interactions, in which some physically relevant soliton solutions are found. The profile features of the evolution wave functions depend on the different choices of the composite functions ξ.",

keywords = "Generalized Gross–Pitaevskii equation, Nonlinearity interactions, Similarity transformation, Solitons",

author = "{Castro L{\'o}pez}, R. and Sun, {Guo Hua} and O. Camacho-Nieto and C. Y{\'a}{\~n}ez-M{\'a}rquez and Dong, {Shi Hai}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2017",

month = sep,

day = "18",

doi = "10.1016/j.physleta.2017.07.012",

language = "Ingl{\'e}s",

volume = "381",

pages = "2978--2985",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

number = "35",

}

Castro López, R, Sun, GH , Camacho-Nieto, O , Yáñez-Márquez, C & Dong, SH 2017, 'Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 381, no. 35, pp. 2978-2985. https://doi.org/10.1016/j.physleta.2017.07.012

Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields. / Castro López, R.; Sun, Guo Hua ; Camacho-Nieto, O. et al.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 381, No. 35, 18.09.2017, p. 2978-2985.

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

TY - JOUR

T1 - Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields

AU - Castro López, R.

AU - Sun, Guo Hua

AU - Camacho-Nieto, O.

AU - Yáñez-Márquez, C.

AU - Dong, Shi Hai

PY - 2017/9/18

Y1 - 2017/9/18

N2 - We present analytical matter-wave solutions to a generalized Gross–Pitaevskii (GGP) equation with several new time and space varying nonlinearity coefficients and external fields. This is realized by taking a suitable similarity transformation to the GGP equation which makes the original partial differential equation into a stationary and ordinary differential equation. We report a few families of analytical solutions of the GGP equation with several new time and space varying nonlinearity interactions, in which some physically relevant soliton solutions are found. The profile features of the evolution wave functions depend on the different choices of the composite functions ξ.

AB - We present analytical matter-wave solutions to a generalized Gross–Pitaevskii (GGP) equation with several new time and space varying nonlinearity coefficients and external fields. This is realized by taking a suitable similarity transformation to the GGP equation which makes the original partial differential equation into a stationary and ordinary differential equation. We report a few families of analytical solutions of the GGP equation with several new time and space varying nonlinearity interactions, in which some physically relevant soliton solutions are found. The profile features of the evolution wave functions depend on the different choices of the composite functions ξ.

KW - Generalized Gross–Pitaevskii equation

KW - Nonlinearity interactions

KW - Similarity transformation

KW - Solitons

UR - http://www.scopus.com/inward/record.url?scp=85025444284&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2017.07.012

DO - 10.1016/j.physleta.2017.07.012

M3 - Artículo

SN - 0375-9601

VL - 381

SP - 2978

EP - 2985

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 35

ER -

Castro López R, Sun GH , Camacho-Nieto O , Yáñez-Márquez C , Dong SH. Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields. Physics Letters, Section A: General, Atomic and Solid State Physics. 2017 Sep 18;381(35):2978-2985. doi: 10.1016/j.physleta.2017.07.012

Analytical traveling-wave solutions to a generalized Gross–Pitaevskii equation with some new time and space varying nonlinearity coefficients and external fields

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this