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Application of Fibonacci tane function to nonlinear differential-difference equations

Author

Listed:
  • Ma, Zheng-Yi
  • Hu, Ya-Hong
  • Lan, Jia-Cheng

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.

Suggested Citation

  • Ma, Zheng-Yi & Hu, Ya-Hong & Lan, Jia-Cheng, 2008. "Application of Fibonacci tane function to nonlinear differential-difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 303-308.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:303-308
    DOI: 10.1016/j.chaos.2006.06.052
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    Cited by:

    1. Wu, Guo-Cheng & Zhao, Ling & He, Ji-Huan, 2009. "Differential-difference model for textile engineering," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 352-354.
    2. Akbulak, Mehmet & Bozkurt, Durmuş, 2009. "On the order-m generalized Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1347-1355.

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