Application of Fibonacci tane function to nonlinear differential-difference equations

Zheng-Yi Ma, Ya-Hong Hu and Jia-Cheng Lan

Chaos, Solitons & Fractals, 2008, vol. 36, issue 2, 303-308

Abstract: The symmetrical Fibonacci tane is constructed according to the symmetrical Fibonacci sine and cosine [Stakhov A, Rozin B. Chaos, Solitons & Fractals 2005;23:379]. As one of its applications, an algorithm is devised to obtain exact traveling wave solutions for the differential-difference equations by means of the property of function tane. For illustration, we apply the method to the (2+1)-dimensional Toda lattice, the discrete nonlinear Schrödinger equation and a generalized Toda lattice, and successfully construct some explicit and exact traveling wave solutions.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:2:p:303-308

DOI: 10.1016/j.chaos.2006.06.052

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