IJPAM: Volume 69, No. 3 (2011)

CONSTRUCTING EXACT SOLUTIONS TO
DIFFERENCE-DIFFERENTIAL EQUATIONS VIA
THE PROJECTIVE RICCATI EQUATION APPROACH

Wuyou Jiang$^1$, Zhen Wang$^2$, Hongqing Zhang$^3$
$^{1,2,3}$School of Mathematical Sciences
Dalian University of Technology
Dalian 116024, P.R. CHINA
$^1$e-mail: wuyouj115@163.com
$^2$e-mail: wangzhen8107@163.com
$^3$e-mail: zhanghq@dlut.edu.cn


Abstract. An algebraic algorithm is devised to derive exact traveling wave solutions of differential-difference equations by means of the projective Riccati equation approach. For illustration, we apply this method to solve relativistic Toda lattice system. Some explicit and exact traveling wave solutions including periodic solutions, solitary wave solutions are constructed.

Received: July 26, 2010

AMS Subject Classification: 35R10

Key Words and Phrases: difference-differential equation, soliton solution, exact solution, relativistic Toda lattice system

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 69
Issue: 3