Symbolic Computation and Construction of New Exact Traveling Wave Solutions to Fitzhugh-Nagumo and Klein-Gordon Equations

被引：31
|
作者：
Ozis, Turgut [1 ]
Aslan, Ismail [2 ]
机构：
[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey
[2] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2009年 / 64卷 / 1-2期
关键词：
Auxiliary Equation Method; (G '/G)-Expansion Method; Traveling Wave Solutions; Fitzhugh-Nagumo Equation; Klein-Gordon Equation; GENERALIZED (G'/G)-EXPANSION METHOD; NONLINEAR EVOLUTION-EQUATIONS;
D O I：
10.1515/zna-2009-1-203
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
With the aid of the symbolic computation system Mathematica, many exact solutions for the Fitzhugh-Nagumo equation and the Klein-Gordon equation with a quadratic nonlinearity are constructed by an auxiliary equation method, the so-called (G'/G)-expansion method, where the new and more general forms of solutions are also obtained. Periodic and solitary traveling wave solutions capable of moving in both directions are observed.
引用
收藏
页码：15 / 20
页数：6
相关论文
共 50 条
12345