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Mathematical and Computer Modelling. 01/2010; 52:1423-1427.
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ABSTRACT: In this paper, a constructive method for exactly solving nonlinear differential-difference equations (NDDEs) is presented. The NDDE which includes Hybrid lattice, discretized mKdV lattice and modified Volterra lattice is chosen to illustrate this approach. Some new solutions of these lattices are obtained.
Nonlinear Analysis: Theory, Methods & Applications.
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ABSTRACT: This paper presents a method to directly construct explicit exact solutions to nonlinear differential-difference equations. One applies this approach to solve Volterra lattice and Toda lattice and obtain their some special solutions which contain soliton solutions and periodic solutions.
Chaos, Solitons & Fractals.