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Exponential function rational expansion method for nonlinear differential–difference equations

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  • Liu, Cheng-shi

Abstract

An exponential function rational expansion method for solving exact traveling wave solutions to nonlinear differential–difference equations is proposed. By this method, new exact traveling wave solutions to some nonlinear differential–difference equations such as Langmiuir lattice, discrete mKdV lattice equation, Hybrid lattice equation, etc., are obtained.

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  • Liu, Cheng-shi, 2009. "Exponential function rational expansion method for nonlinear differential–difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 708-716.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:708-716
    DOI: 10.1016/j.chaos.2007.08.018
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    Cited by:

    1. Kai, Yue & Chen, Shuangqing & Zheng, Bailin & Zhang, Kai & Yang, Nan & Xu, Wenlong, 2020. "Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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