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Construct solitary solutions of discrete hybrid equation by Adomian Decomposition Method

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  • Wang, Zhen
  • Zhang, Hongqing

Abstract

In this paper, we apply the Adomian Decomposition Method to solving the differential–difference equations. A typical example is applied to illustrate the validity and the great potential of the Adomian Decomposition Method in solving differential–difference equation. Kink shaped solitary solution and Bell shaped solitary solution are presented. Comparisons are made between the results of the proposed method and exact solutions. The results show that the Adomian Decomposition Method is an attractive method in solving the differential–difference equations.

Suggested Citation

  • Wang, Zhen & Zhang, Hongqing, 2009. "Construct solitary solutions of discrete hybrid equation by Adomian Decomposition Method," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 676-683.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:676-683
    DOI: 10.1016/j.chaos.2007.08.011
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    References listed on IDEAS

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    1. Zhang, Da-jun, 2005. "Singular solutions in Casoratian form for two differential-difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1333-1350.
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