Bäcklund transformations and Lax pairs for two differential-difference equations

Xing Biao Hu; Hon Wah TAM

doi:10.1088/0305-4470/34/48/321

Bäcklund transformations and Lax pairs for two differential-difference equations

Xing Biao Hu^*, Hon Wah TAM

^*Corresponding author for this work

Department of Computer Science

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

8 Citations (Scopus)

Abstract

Two bilinear differential-difference equations are proposed in this paper. The corresponding bilinear Bäcklund transformations (BTs) are presented. Starting from the bilinear BTs, soliton solutions of the proposed equations are generated. By dependent variable transformations, these two equations are transformed into equations in nonlinear variables and the corresponding Lax pairs are derived.

Original language	English
Pages (from-to)	10577-10584
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	48
DOIs	https://doi.org/10.1088/0305-4470/34/48/321
Publication status	Published - 7 Dec 2001

Access to Document

10.1088/0305-4470/34/48/321

Cite this

@article{bf7bf0a09e034f349c2db39d127d7dfc,

title = "B{\"a}cklund transformations and Lax pairs for two differential-difference equations",

abstract = "Two bilinear differential-difference equations are proposed in this paper. The corresponding bilinear B{\"a}cklund transformations (BTs) are presented. Starting from the bilinear BTs, soliton solutions of the proposed equations are generated. By dependent variable transformations, these two equations are transformed into equations in nonlinear variables and the corresponding Lax pairs are derived.",

author = "Hu, {Xing Biao} and TAM, {Hon Wah}",

year = "2001",

month = dec,

day = "7",

doi = "10.1088/0305-4470/34/48/321",

language = "English",

volume = "34",

pages = "10577--10584",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "48",

}

TY - JOUR

T1 - Bäcklund transformations and Lax pairs for two differential-difference equations

AU - Hu, Xing Biao

AU - TAM, Hon Wah

PY - 2001/12/7

Y1 - 2001/12/7

N2 - Two bilinear differential-difference equations are proposed in this paper. The corresponding bilinear Bäcklund transformations (BTs) are presented. Starting from the bilinear BTs, soliton solutions of the proposed equations are generated. By dependent variable transformations, these two equations are transformed into equations in nonlinear variables and the corresponding Lax pairs are derived.

AB - Two bilinear differential-difference equations are proposed in this paper. The corresponding bilinear Bäcklund transformations (BTs) are presented. Starting from the bilinear BTs, soliton solutions of the proposed equations are generated. By dependent variable transformations, these two equations are transformed into equations in nonlinear variables and the corresponding Lax pairs are derived.

UR - http://www.scopus.com/inward/record.url?scp=0035824454&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/34/48/321

DO - 10.1088/0305-4470/34/48/321

M3 - Journal article

AN - SCOPUS:0035824454

SN - 0305-4470

VL - 34

SP - 10577

EP - 10584

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 48

ER -

Bäcklund transformations and Lax pairs for two differential-difference equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this