A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations

Zhibin Li; Yinping Liu; Haifeng Qian

doi:10.1007/978-3-540-87827-8_16

A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations

Zhibin Li^*, Yinping Liu, Haifeng Qian

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

An algorithmic method to construct a kind of auto Bäcklund transformations (BTs) is proposed. A Maple package AutoBT, which can entirely automatically generate auto BT is presented. AutoBT has been effectively applied to many nonlinear evolution equations with physical significance. Not only are previously known BT recovered but also in some cases new and more general form of BT are obtained.

Original language	English
Title of host publication	Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers
Pages	188-198
Number of pages	11
DOIs	https://doi.org/10.1007/978-3-540-87827-8_16
State	Published - 2008
Event	8th Asian Symposium on Computer Mathematics, ASCM 2007 - , Singapore Duration: 15 Dec 2007 → 17 Dec 2007

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	5081 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	8th Asian Symposium on Computer Mathematics, ASCM 2007
Country/Territory	Singapore
Period	15/12/07 → 17/12/07

Access to Document

10.1007/978-3-540-87827-8_16

Cite this

Li, Z., Liu, Y., & Qian, H. (2008). A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations. In Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers (pp. 188-198). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5081 LNAI). https://doi.org/10.1007/978-3-540-87827-8_16

Li, Zhibin ; Liu, Yinping ; Qian, Haifeng. / A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations. Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers. 2008. pp. 188-198 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{b925e7b185064f7ca879ef1ba9a8416d,

title = "A method and its implementation for constructing b{\"a}cklund transformations to nonlinear evolution equations",

abstract = "An algorithmic method to construct a kind of auto B{\"a}cklund transformations (BTs) is proposed. A Maple package AutoBT, which can entirely automatically generate auto BT is presented. AutoBT has been effectively applied to many nonlinear evolution equations with physical significance. Not only are previously known BT recovered but also in some cases new and more general form of BT are obtained.",

author = "Zhibin Li and Yinping Liu and Haifeng Qian",

year = "2008",

doi = "10.1007/978-3-540-87827-8\_16",

language = "英语",

isbn = "3540878262",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "188--198",

booktitle = "Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers",

note = "8th Asian Symposium on Computer Mathematics, ASCM 2007 ; Conference date: 15-12-2007 Through 17-12-2007",

}

Li, Z , Liu, Y & Qian, H 2008, A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations. in Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5081 LNAI, pp. 188-198, 8th Asian Symposium on Computer Mathematics, ASCM 2007, Singapore, 15/12/07. https://doi.org/10.1007/978-3-540-87827-8_16

A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations. / Li, Zhibin ; Liu, Yinping ; Qian, Haifeng.
Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers. 2008. p. 188-198 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5081 LNAI).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations

AU - Li, Zhibin

AU - Liu, Yinping

AU - Qian, Haifeng

PY - 2008

Y1 - 2008

N2 - An algorithmic method to construct a kind of auto Bäcklund transformations (BTs) is proposed. A Maple package AutoBT, which can entirely automatically generate auto BT is presented. AutoBT has been effectively applied to many nonlinear evolution equations with physical significance. Not only are previously known BT recovered but also in some cases new and more general form of BT are obtained.

AB - An algorithmic method to construct a kind of auto Bäcklund transformations (BTs) is proposed. A Maple package AutoBT, which can entirely automatically generate auto BT is presented. AutoBT has been effectively applied to many nonlinear evolution equations with physical significance. Not only are previously known BT recovered but also in some cases new and more general form of BT are obtained.

UR - https://www.scopus.com/pages/publications/55249118397

U2 - 10.1007/978-3-540-87827-8_16

DO - 10.1007/978-3-540-87827-8_16

M3 - 会议稿件

AN - SCOPUS:55249118397

SN - 3540878262

SN - 9783540878261

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 188

EP - 198

BT - Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers

T2 - 8th Asian Symposium on Computer Mathematics, ASCM 2007

Y2 - 15 December 2007 through 17 December 2007

ER -

Li Z , Liu Y , Qian H. A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations. In Computer Mathematics - 8th Asian Symposium, ASCM 2007, Revised and Invited Papers. 2008. p. 188-198. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-87827-8_16

A method and its implementation for constructing bäcklund transformations to nonlinear evolution equations

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this