Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation

被引：444

作者：

Ma, WX ^{[1
]}

Fuchssteiner, B ^{[1
]}

机构：

[1] UNIV GESAMTHSCH PADERBORN, D-33098 PADERBORN, GERMANY

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1996年 / 31卷 / 03期

关键词：

D O I：

10.1016/0020-7462(95)00064-X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Some explicit traveling wave solutions to a Kolmogorov-Petrovskii-Piskunov equation are presented through two ansatze. By a Cole-Hopf transformation, this Kolmogorov-Petrovskii-Piskunov equation is also written as a bilinear equation and two solutions to describe non-linear interaction of traveling waves are further generated. Backlund transformations of the linear form and some special cases are considered. (C) 1996 Elsevier Science Ltd.

引用

页码：329 / 338

页数：10

共 23 条

[1] TRAVELING WAVE SOLUTIONS FOR A GENERALIZED FISHER EQUATION [J].

ABDELKADER, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 85 (02) :287-290

[2]

ABLOWITZ MJ, 1979, B MATH BIOL, V41, P835, DOI 10.1007/BF02462380

[3]

Aronson D. G., 1975, LECT NOTES MATH, V446, P5

[4]

BRAMSON M, 1983, MEM AM MATH SOC, V44, P1

[5]

CARILLO S, 1993, MODERN GROUP ANALYSIS: ADVANCED ANALYTICAL AND COMPUTATIONAL METHODS IN MATHEMATICAL PHYSICS, P85

[6]

COHEN H, 1971, STUD APPL MATH, P27

[7] The wave of advance of advantageous genes [J].

Fisher, RA .

ANNALS OF EUGENICS, 1937, 7 :355-369

[8]

Fuchssteiner Benno, 1992, ANAL GEOMETRY, P73

[9]

HEREMAN W, 1990, NATO ADV SCI I C-MAT, V310, P585

[10]

Kametaka Y., 1976, OSAKA J MATH, V13, P11

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