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

Y. C. Hon, Yufeng Zhang, Jianqin Mei

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)2713-2724
JournalModern Physics Letters B
Volume24
Issue number27
DOIs
Publication statusPublished - 30 Oct 2010

Research Keywords

  • Bäcklund transformation
  • Riccati equation
  • soliton solution

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