Some exact solutions for Toda type lattice differential equations using the improved (G'/G)-expansion method

被引：6

作者：

Aslan, Ismail ^{[1
]}

机构：

[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 04期

关键词：

(G'; G)-expansion method; lattice differential equation; differential-difference equation; traveling wave solutions; NONLINEAR EVOLUTION-EQUATIONS; TRAVELING-WAVE SOLUTIONS; (G'/G)-EXPANSION METHOD; SYMBOLIC COMPUTATION; EXPLICIT SOLUTIONS;

D O I：

10.1002/mma.1579

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonlinear lattice differential equations (also known as differential-difference equations) appear in many applications. They can be thought of as hybrid systems for the inclusion of both discrete and continuous variables. On the basis of an improved version of the basic (G'/G)-expansion method, we focus our attention towards some Toda type lattice differential systems for constructing further exact traveling wave solutions. Our method provides not only solitary and periodic wave profiles but also rational solutions with more arbitrary parameters. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：474 / 481

页数：8

共 28 条

[1] The Discrete (G′/G)-Expansion Method Applied to the Differential-Difference Burgers Equation and the Relativistic Toda Lattice System
Aslan, Ismail
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[2] Analytic solutions to nonlinear differential-difference equations by means of the extended (G′/G)-expansion method
Aslan, Ismail
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (39)
[3] A note on the (G′/G)-expansion method again
Aslan, Ismail
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) : 937 - 938
[4] The Ablowitz-Ladik lattice system by means of the extended (G′/G)-expansion method
Aslan, Ismail
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (09) : 2778 - 2782
[5] Aslan I, 2009, AIP CONF PROC, V1168, P216, DOI 10.1063/1.3241430
[6] A discrete generalization of the extended simplest equation method
Aslan, Ismail
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (08) : 1967 - 1973
[7] Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method
Aslan, Ismail
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (08) : 3140 - 3147
[8] Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)-expansion method
Aslan, Ismail
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 857 - 863
[9] Analytic study on two nonlinear evolution equations by using the (G′/G)-expansion method
Aslan, Ismail
Ozis, Turgut
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (02) : 425 - 429
[10] On the validity and reliability of the (G′/G)-expansion method by using higher-order nonlinear equations
Aslan, Ismail
Ozis, Turgut
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (02) : 531 - 536

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