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

页码：1967 / 1973

页数：7

共 24 条

[1] ABLOWITZ MJ, 1977, STUD APPL MATH, V57, P1
[2] Multi-component Volterra acid Toda type integrable equations
Adler, VE
Svinolupov, SI
Yamilov, RI
[J]. PHYSICS LETTERS A, 1999, 254 (1-2) : 24 - 36
[3] Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
Baldwin, D
Göktas, Ü
Hereman, W
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2004, 162 (03) : 203 - 217
[4] The application of He's exp-function method to a nonlinear differential-difference equation
Dai, Chaoqing
Cen, Xu
Wu, Shengsheng
[J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (01) : 511 - 515
[5] Dai CQ, 2005, COMMUN THEOR PHYS, V43, P471
[6] THEORY OF CONTRACTION OF PROTEINS UNDER THEIR EXCITATION
DAVYDOV, AS
[J]. JOURNAL OF THEORETICAL BIOLOGY, 1973, 38 (03) : 559 - 569
[7] Fermi E., 1965, Collected papers of Enrico-Fermi, V2, P978
[8] Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions
Hu, XB
Ma, WX
[J]. PHYSICS LETTERS A, 2002, 293 (3-4) : 161 - 165
[9] Exact solitary waves of the Fisher equation
Kudryashov, NA
[J]. PHYSICS LETTERS A, 2005, 342 (1-2) : 99 - 106
[10] Extended simplest equation method for nonlinear differential equations
Kudryashov, Nikolai A.
Loguinova, Nadejda B.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 205 (01) : 396 - 402

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