Bright and dark solitons for the resonant nonlinear Schrödingers equation with time-dependent coefficients

Houria Triki; T. Hayat; Omar M. Aldossary; Anjan Biswas

doi:10.1016/j.optlastec.2012.01.037

Bright and dark solitons for the resonant nonlinear Schrödingers equation with time-dependent coefficients

Houria Triki
, T. Hayat
, Omar M. Aldossary
, Anjan Biswas

Badji Mokhtar University
Qaid-i-Azam University
King Saud University
Delaware State University

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

123 Scopus citations

Abstract

In this paper, the resonant nonlinear Schrödingers equation is studied with five forms of nonlinearity. This equation is also considered with time-dependent coefficients and additionally time-dependent linear attenuation is considered. The ansatz method approach is used to carry out the integration. Both bright and dark soliton solutions are obtained in this paper. The constraint conditions for the existence of soliton solutions are also given.

Original language	English
Pages (from-to)	2223-2231
Number of pages	9
Journal	Optics and Laser Technology
Volume	44
Issue number	7
DOIs	https://doi.org/10.1016/j.optlastec.2012.01.037
State	Published - Oct 2012
Externally published	Yes

Keywords

Integrability
Resonant nonlinear Schrodingers equation
Solitons

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10.1016/j.optlastec.2012.01.037

Cite this

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title = "Bright and dark solitons for the resonant nonlinear Schr{\"o}dingers equation with time-dependent coefficients",

abstract = "In this paper, the resonant nonlinear Schr{\"o}dingers equation is studied with five forms of nonlinearity. This equation is also considered with time-dependent coefficients and additionally time-dependent linear attenuation is considered. The ansatz method approach is used to carry out the integration. Both bright and dark soliton solutions are obtained in this paper. The constraint conditions for the existence of soliton solutions are also given.",

keywords = "Integrability, Resonant nonlinear Schrodingers equation, Solitons",

author = "Houria Triki and T. Hayat and Aldossary, \{Omar M.\} and Anjan Biswas",

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AU - Triki, Houria

AU - Hayat, T.

AU - Aldossary, Omar M.

AU - Biswas, Anjan

PY - 2012/10

Y1 - 2012/10

N2 - In this paper, the resonant nonlinear Schrödingers equation is studied with five forms of nonlinearity. This equation is also considered with time-dependent coefficients and additionally time-dependent linear attenuation is considered. The ansatz method approach is used to carry out the integration. Both bright and dark soliton solutions are obtained in this paper. The constraint conditions for the existence of soliton solutions are also given.

AB - In this paper, the resonant nonlinear Schrödingers equation is studied with five forms of nonlinearity. This equation is also considered with time-dependent coefficients and additionally time-dependent linear attenuation is considered. The ansatz method approach is used to carry out the integration. Both bright and dark soliton solutions are obtained in this paper. The constraint conditions for the existence of soliton solutions are also given.

KW - Integrability

KW - Resonant nonlinear Schrodingers equation

KW - Solitons

UR - https://www.scopus.com/pages/publications/84861526079

U2 - 10.1016/j.optlastec.2012.01.037

DO - 10.1016/j.optlastec.2012.01.037

M3 - Article

AN - SCOPUS:84861526079

SN - 0030-3992

VL - 44

SP - 2223

EP - 2231

JO - Optics and Laser Technology

JF - Optics and Laser Technology

IS - 7

ER -

Bright and dark solitons for the resonant nonlinear Schrödingers equation with time-dependent coefficients

Abstract

Keywords

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