Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation

Bo Tian; Yi Tian Gao

doi:10.1016/0898-1221(96)00068-5

Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation

Bo Tian^*
, Yi Tian Gao

^*此作品的通讯作者

Lanzhou University

科研成果: 期刊稿件 › 文章 › 同行评审

29 引用（Scopus）

摘要

The variable-coefficient nonlinear Schrödinger equations describe certain physical systems with nonuniform backgrounds. In this paper, the application of the Painlevé analysis and computer algebra leads to an auto-Bäcklund transformation and some special solutions to a general time-dependent coefficient version of the nonlinear Schrödinger equation.

源语言	英语
页（从-至）	115-119
页数	5
期刊	Computers and Mathematics with Applications
卷	31
期	11
DOI	https://doi.org/10.1016/0898-1221(96)00068-5
出版状态	已出版 - 6月 1996
已对外发布	是

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10.1016/0898-1221(96)00068-5

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@article{0925cfcca66a4767bcff753e9877689a,

title = "Computer algebra, Painlev{\'e} analysis and the time-dependent-coefficient nonlinear Schr{\"o}dinger equation",

abstract = "The variable-coefficient nonlinear Schr{\"o}dinger equations describe certain physical systems with nonuniform backgrounds. In this paper, the application of the Painlev{\'e} analysis and computer algebra leads to an auto-B{\"a}cklund transformation and some special solutions to a general time-dependent coefficient version of the nonlinear Schr{\"o}dinger equation.",

keywords = "B{\"a}cklund transformation, Computer algebra, Exact solutions, Mathematical methods in physics, Painlev{\'e} analysis, Variable-coefficient nonlinear Schr{\"o}dinger equation",

author = "Bo Tian and Gao, \{Yi Tian\}",

year = "1996",

month = jun,

doi = "10.1016/0898-1221(96)00068-5",

language = "英语",

volume = "31",

pages = "115--119",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

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T1 - Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation

AU - Tian, Bo

AU - Gao, Yi Tian

PY - 1996/6

Y1 - 1996/6

N2 - The variable-coefficient nonlinear Schrödinger equations describe certain physical systems with nonuniform backgrounds. In this paper, the application of the Painlevé analysis and computer algebra leads to an auto-Bäcklund transformation and some special solutions to a general time-dependent coefficient version of the nonlinear Schrödinger equation.

AB - The variable-coefficient nonlinear Schrödinger equations describe certain physical systems with nonuniform backgrounds. In this paper, the application of the Painlevé analysis and computer algebra leads to an auto-Bäcklund transformation and some special solutions to a general time-dependent coefficient version of the nonlinear Schrödinger equation.

KW - Bäcklund transformation

KW - Computer algebra

KW - Exact solutions

KW - Mathematical methods in physics

KW - Painlevé analysis

KW - Variable-coefficient nonlinear Schrödinger equation

UR - https://www.scopus.com/pages/publications/0030173373

U2 - 10.1016/0898-1221(96)00068-5

DO - 10.1016/0898-1221(96)00068-5

M3 - 文章

AN - SCOPUS:0030173373

SN - 0898-1221

VL - 31

SP - 115

EP - 119

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 11

ER -

Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation

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