An improved Γ-Riccati Bäcklund transformation and its applications for the inhomogeneous nonlinear Schrödinger model from plasma physics and nonlinear optics

Yu Ping Liu; Yi Tian Gao; Guang Mei Wei

doi:10.1016/j.physa.2011.08.058

An improved Γ-Riccati Bäcklund transformation and its applications for the inhomogeneous nonlinear Schrödinger model from plasma physics and nonlinear optics

Yu Ping Liu^*
, Yi Tian Gao
, Guang Mei Wei

^*Corresponding author for this work

Beihang University

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

7 Scopus citations

Abstract

The inhomogeneous nonlinear Schrödinger-type (NLS) model from certain plasmas and optical fibers is investigated with symbolic computation. An improved Γ-Riccati Bäcklund transformation (Γ-R BT) is presented, which can generate successively a hierarchy of solutions through algebraic manipulations. Based on the improved Γ-R BT, the Darboux transformation is obtained, the analytic one/two-soliton-like solutions are presented, and the physical characteristics of the influences of the coefficient parameters on the propagation of the soliton pulses are discussed graphically.

Original language	English
Pages (from-to)	535-543
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	391
Issue number	3
DOIs	https://doi.org/10.1016/j.physa.2011.08.058
State	Published - 1 Feb 2012

Keywords

Bäcklund transformation
Darboux transformation
Inhomogeneous nonlinear Schrödinger model
Symbolic computation

Access to Document

10.1016/j.physa.2011.08.058

Cite this

@article{c96a4c01f7344ed9bb6c0286af12ee1e,

title = "An improved Γ-Riccati B{\"a}cklund transformation and its applications for the inhomogeneous nonlinear Schr{\"o}dinger model from plasma physics and nonlinear optics",

abstract = "The inhomogeneous nonlinear Schr{\"o}dinger-type (NLS) model from certain plasmas and optical fibers is investigated with symbolic computation. An improved Γ-Riccati B{\"a}cklund transformation (Γ-R BT) is presented, which can generate successively a hierarchy of solutions through algebraic manipulations. Based on the improved Γ-R BT, the Darboux transformation is obtained, the analytic one/two-soliton-like solutions are presented, and the physical characteristics of the influences of the coefficient parameters on the propagation of the soliton pulses are discussed graphically.",

keywords = "B{\"a}cklund transformation, Darboux transformation, Inhomogeneous nonlinear Schr{\"o}dinger model, Symbolic computation",

author = "Liu, \{Yu Ping\} and Gao, \{Yi Tian\} and Wei, \{Guang Mei\}",

year = "2012",

month = feb,

day = "1",

doi = "10.1016/j.physa.2011.08.058",

language = "英语",

volume = "391",

pages = "535--543",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

publisher = "Elsevier B.V.",

number = "3",

}

An improved Γ-Riccati Bäcklund transformation and its applications for the inhomogeneous nonlinear Schrödinger model from plasma physics and nonlinear optics. / Liu, Yu Ping; Gao, Yi Tian ; Wei, Guang Mei.
In: Physica A: Statistical Mechanics and its Applications, Vol. 391, No. 3, 01.02.2012, p. 535-543.

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

TY - JOUR

T1 - An improved Γ-Riccati Bäcklund transformation and its applications for the inhomogeneous nonlinear Schrödinger model from plasma physics and nonlinear optics

AU - Liu, Yu Ping

AU - Gao, Yi Tian

AU - Wei, Guang Mei

PY - 2012/2/1

Y1 - 2012/2/1

N2 - The inhomogeneous nonlinear Schrödinger-type (NLS) model from certain plasmas and optical fibers is investigated with symbolic computation. An improved Γ-Riccati Bäcklund transformation (Γ-R BT) is presented, which can generate successively a hierarchy of solutions through algebraic manipulations. Based on the improved Γ-R BT, the Darboux transformation is obtained, the analytic one/two-soliton-like solutions are presented, and the physical characteristics of the influences of the coefficient parameters on the propagation of the soliton pulses are discussed graphically.

AB - The inhomogeneous nonlinear Schrödinger-type (NLS) model from certain plasmas and optical fibers is investigated with symbolic computation. An improved Γ-Riccati Bäcklund transformation (Γ-R BT) is presented, which can generate successively a hierarchy of solutions through algebraic manipulations. Based on the improved Γ-R BT, the Darboux transformation is obtained, the analytic one/two-soliton-like solutions are presented, and the physical characteristics of the influences of the coefficient parameters on the propagation of the soliton pulses are discussed graphically.

KW - Bäcklund transformation

KW - Darboux transformation

KW - Inhomogeneous nonlinear Schrödinger model

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/80455176936

U2 - 10.1016/j.physa.2011.08.058

DO - 10.1016/j.physa.2011.08.058

M3 - 文章

AN - SCOPUS:80455176936

SN - 0378-4371

VL - 391

SP - 535

EP - 543

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3

ER -

An improved Γ-Riccati Bäcklund transformation and its applications for the inhomogeneous nonlinear Schrödinger model from plasma physics and nonlinear optics

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this