Exact solitary waves of the Fisher equation

被引:197
作者
Kudryashov, NA [1 ]
机构
[1] Moscow Engn Phys Inst, Dept Appl Math, Moscow 115409, Russia
关键词
exact solution; nonlinear differential equation; traveling wave; simplest equation method;
D O I
10.1016/j.physleta.2005.05.025
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
New method is presented to search exact solutions of nonlinear differential equations. This approach is used to look for exact solutions of the Fisher equation. New exact solitary waves of the Fisher equation are given. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:99 / 106
页数:8
相关论文
共 16 条
[1]   NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE [J].
ABLOWITZ, MJ ;
KAUP, DJ ;
NEWELL, AC ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1973, 31 (02) :125-127
[2]  
ABLOWITZ MJ, 1979, B MATH BIOL, V41, P835, DOI 10.1007/BF02462380
[3]   PAINLEVE ANALYSIS AND SPECIAL SOLUTIONS OF 2 FAMILIES OF REACTION DIFFUSION-EQUATIONS [J].
CHOUDHURY, SR .
PHYSICS LETTERS A, 1991, 159 (6-7) :311-317
[4]   PAINLEVE ANALYSIS AND BACKLUND TRANSFORMATION IN THE KURAMOTO-SIVASHINSKY EQUATION [J].
CONTE, R ;
MUSETTE, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (02) :169-177
[5]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[6]   The wave of advance of advantageous genes [J].
Fisher, RA .
ANNALS OF EUGENICS, 1937, 7 :355-369
[7]  
GARDNER CS, 1967, PHYS REV LETT, V19, P1095, DOI DOI 10.1103/PHYSREVLETT.19.1095
[9]  
KOLMOGOROV A, 1937, B U ETAT MOSCOW, V6, P1
[10]   EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1990, 147 (5-6) :287-291