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

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-10-30

Journal: MODERN PHYSICS LETTERS B

Included Journals: Scopus、SCIE

Volume: 24

Issue: 27

Page Number: 2713-2724

ISSN: 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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