Application of Symbolic Computation in Nonlinear Differential-Difference Equations. (27th September 2009)

• Record Type: Journal Article
• Authors: Xie, Fuding; Wang, Zhen; Ji, Min
• Other Names: Zhou Yong Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2009(2009)
• Publication Date: 2009-09-27
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2009/158142
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : A method is proposed to construct closed-form solutions of nonlinear differential-difference equations. For the variety of nonlinearities, this method only deals with such equations which are written in polynomials in function and its derivative. Some closed-form solutions of Hybrid lattice, Discrete mKdV lattice, and modified Volterra lattice are obtained by using the proposed method. The travelling wave solutions of nonlinear differential-difference equations in polynomial in function tanh are included in these solutions. This implies that the proposed method is more powerful than the one introduced by Baldwin et al. The results obtained in this paper show the validity of the proposal.