A discrete generalization of the extended simplest equation method

被引：18
作者：
Aslan, Ismail [1 ]
机构：
[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 08期
关键词：
The extended simplest equation method; Wadati lattice equation; Differential-difference equation; Lattice equation; EXP-FUNCTION METHOD; DIFFERENTIAL-DIFFERENCE EQUATIONS; SYMBOLIC COMPUTATION; LATTICE; SOLITON;
D O I：
10.1016/j.cnsns.2009.08.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：1967 / 1973
页数：7
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