Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations

Xianguo Geng; Hon Wah Tam

doi:10.1143/JPSJ.68.1508

Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations

Xianguo Geng^*, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

132 Citations (Scopus)

Abstract

A Darboux transformation with multi-parameters for coupled generalized nonlinear Schrödinger equations is derived with the help of a gauge transformation of the spectral problem. As a reduction, a Darboux transformation of the generalized nonlinear Schrödinger equation is obtained, from which soliton solutions of the generalized nonlinear Schrödinger equation are given.

Original language	English
Pages (from-to)	1508-1512
Number of pages	5
Journal	Journal of the Physical Society of Japan
Volume	68
Issue number	5
DOIs	https://doi.org/10.1143/JPSJ.68.1508
Publication status	Published - May 1999

Scopus Subject Areas

General Physics and Astronomy

User-Defined Keywords

Darboux transformation
Generalized nonlinear Schrödinger equations
Solitons

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10.1143/JPSJ.68.1508

Cite this

@article{120709ece07e4a6b9c876038ba8ef52a,

title = "Darboux transformation and soliton solutions for generalized nonlinear Schr{\"o}dinger equations",

abstract = "A Darboux transformation with multi-parameters for coupled generalized nonlinear Schr{\"o}dinger equations is derived with the help of a gauge transformation of the spectral problem. As a reduction, a Darboux transformation of the generalized nonlinear Schr{\"o}dinger equation is obtained, from which soliton solutions of the generalized nonlinear Schr{\"o}dinger equation are given.",

keywords = "Darboux transformation, Generalized nonlinear Schr{\"o}dinger equations, Solitons",

author = "Xianguo Geng and Tam, {Hon Wah}",

year = "1999",

month = may,

doi = "10.1143/JPSJ.68.1508",

language = "English",

volume = "68",

pages = "1508--1512",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

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T1 - Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations

AU - Geng, Xianguo

AU - Tam, Hon Wah

PY - 1999/5

Y1 - 1999/5

N2 - A Darboux transformation with multi-parameters for coupled generalized nonlinear Schrödinger equations is derived with the help of a gauge transformation of the spectral problem. As a reduction, a Darboux transformation of the generalized nonlinear Schrödinger equation is obtained, from which soliton solutions of the generalized nonlinear Schrödinger equation are given.

AB - A Darboux transformation with multi-parameters for coupled generalized nonlinear Schrödinger equations is derived with the help of a gauge transformation of the spectral problem. As a reduction, a Darboux transformation of the generalized nonlinear Schrödinger equation is obtained, from which soliton solutions of the generalized nonlinear Schrödinger equation are given.

KW - Darboux transformation

KW - Generalized nonlinear Schrödinger equations

KW - Solitons

UR - http://www.scopus.com/inward/record.url?scp=0033419825&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.68.1508

DO - 10.1143/JPSJ.68.1508

M3 - Journal article

AN - SCOPUS:0033419825

SN - 0031-9015

VL - 68

SP - 1508

EP - 1512

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 5

ER -

Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations

Abstract

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