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Zbl 1222.65114
Aslan, \D{I}smail
A discrete generalization of the extended simplest equation method. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 1967-1973 (2010). ISSN 1007-5704

Summary: We modify the so-called extended simplest equation method to obtain discrete traveling wave solutions for nonlinear differential-difference equations. The Wadati lattice equation is chosen to illustrate the method in detail. Further discrete soliton/periodic solutions with more arbitrary parameters, as well as discrete rational solutions, are revealed. We note that using our approach one can also find in principal highly accurate exact discrete solutions for other lattice equations arising in the applied sciences.

MSC 2000:: *65M99 Numerical methods for IVP of PDE
35C07
34A33
37K60 Lattice dynamics

Keywords: extended simplest equation method; Wadati lattice equation; differential-difference equation; lattice equation

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