ANALYTIC SOLUTIONS OF THE FISHER EQUATION

被引：40

作者：

GUO, BY ^{[1
]}

KUO, PY ^{[1
]}

CHEN, ZX ^{[1
]}

机构：

[1] SHANGHAI JIAO TONG UNIV,DEPT APPL MATH,SHANGHAI,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 03期

关键词：

D O I：

10.1088/0305-4470/24/3/023

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyse the Fisher equation via the expanded Painleve analysis approach. We obtain its singular property, auto-Backlund transformation and analytic solutions including some interesting heteroclinic and homoclinic solutions.

引用

页码：645 / 650

页数：6

共 50 条

[1] ON SOLITARY WAVE SOLUTIONS FOR THE FISHER EQUATION
WANG, XY
CHINESE SCIENCE BULLETIN, 1991, 36 (17): : 1491 - 1491
[2] A note on solutions of the generalized Fisher equation
Kudryashov, N. A.
Zakharchenko, A. S.
APPLIED MATHEMATICS LETTERS, 2014, 32 : 53 - 56
[3] STABILITY OF EQUILIBRIUM SOLUTIONS FOR THE FISHER EQUATION
GREENBERG, JM
QUARTERLY OF APPLIED MATHEMATICS, 1981, 39 (02) : 239 - 247
[4] ON SOLITARY WAVE SOLUTIONS FOR THE FISHER EQUATION
王心宜
Chinese Science Bulletin, 1991, (17) : 1491 - 1491
[5] ANALYTIC SOLUTIONS OF A FUNCTIONAL EQUATION
FRAME, JS
AMERICAN MATHEMATICAL MONTHLY, 1961, 68 (05): : 511 - &
[6] ANALYTIC SOLUTIONS OF HEAT EQUATION
WIDDER, DV
DUKE MATHEMATICAL JOURNAL, 1962, 29 (04) : 497 - &
[7] ANALYTIC SOLUTIONS OF THE NAGUMO EQUATION
CHEN, ZX
GUO, BY
IMA JOURNAL OF APPLIED MATHEMATICS, 1992, 48 (02) : 107 - 115
[8] Bounded damped oscillatory solutions of Fisher equation
Li Xiang-Zheng
ACTA PHYSICA SINICA, 2012, 61 (17)
[9] Travelling front solutions of a nonlocal Fisher equation
Gourley, SA
JOURNAL OF MATHEMATICAL BIOLOGY, 2000, 41 (03) : 272 - 284
[10] Exact and numerical solutions of the generalized Fisher equation
Cherniha, R
Dutka, V
REPORTS ON MATHEMATICAL PHYSICS, 2001, 47 (03) : 393 - 411

← 1 2 3 4 5 →