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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-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

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