A discrete generalization of the extended simplest equation method

作者：Aslan Ismail^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(8): 1967-1973.

DOI：10.1016/j.cnsns.2009.08.008

• The extended simplest equation method
• Wadati lattice equation
• Differential-difference equation
• Lattice equation

We modified 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.

• 出版日期2010-8