Exact solutions for differential-difference equations by Bäcklund transformation of Riccati equation

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)2713-2724
Journal / PublicationModern Physics Letters B
Volume24
Issue number27
Publication statusPublished - 30 Oct 2010

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-77957805427&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(a109e458-e50c-482e-a682-7d2fd5389ed8).html

Abstract

Based on a Bäcklund transformation of the Riccati equation and its known soliton solutions, we obtain in this paper some exact traveling-wave solutions, including triangle function solutions and hyperbolic function solutions, of a hybrid lattice equation. The proposed method can be easily extended to locate exact solitary wave solutions for other types of differential-difference equations. © 2010 World Scientific Publishing Company.

Research Area(s)

  • Bäcklund transformation, Riccati equation, soliton solution

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Publication fingerprints text

100
Differential-Differ... Mathematics
100
Bcklund Transformat... Mathematics
100
Riccati Equation Mathematics
100
Solitary Wave Physics
50
Traveling Wave Solu... Mathematics
50
Lattices Mathematics
50
Soliton Solution Mathematics
50
Hyperbolic Function Mathematics
50
Triangle Function Mathematics
50
Traveling Wave Physics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Exact solutions for differential-difference equations by Bäcklund transformation of Riccati equation. / Hon, Y. C.; Zhang, Yufeng; Mei, Jianqin.
In: Modern Physics Letters B, Vol. 24, No. 27, 30.10.2010, p. 2713-2724.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review