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EXACT SOLUTIONS FOR DIFFERENTIAL-DIFFERENCE EQUATIONS BY BACKLUND TRANSFORMATION OF RICCATI EQUATION

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Indexed by:期刊论文

Date of Publication:2010-10-30

Journal:MODERN PHYSICS LETTERS B

Included Journals:SCIE、Scopus

Volume:24

Issue:27

Page Number:2713-2724

ISSN No.:0217-9849

Key Words:Backlund transformation; Riccati equation; soliton solution

Abstract:Based on a Backlund 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.

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