Z. Naturforsch. 67a, 21
(2012)
doi:10.5560/ZNA.2011-0063
Construction of Quasi-Periodic Wave Solutions for Differential-Difference Equation
Y. C.
Hon1 and
Qi
Wang2
1 Department of Mathematics, Tat Chee Avenue 80, City University of Hong Kong, Hong Kong, PR China
2 Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, PR China
Received August 25, 2011
Based on the use of the Hirota bilinear method and the Riemann theta function, we develop in this paper a constructive method for obtaining explicit quasi-periodic wave solutions of a new integrable generalized differential-difference equation. Analysis on the asymptotic property of the quasi-periodic wave solutions is given, and it is shown that the quasi-periodic wave solutions converge to the soliton solutions under certain conditions.
Key words: Hirota Bilinear Method; Riemann Theta Function; Quasi-Periodic Wave Solutions.
PACS numbers: 03.65.Ge; 02.30.Ik