New travelling wave solutions for the Fisher-KPP equation with general exponents

被引：8

作者：

Sánchez-Valdés, A ^{[1
]}

Hernández-Bermejo, B ^{[1
]}

机构：

[1] Univ Rey Juan Carlos, ESCET, Edificio Departamental 2, Madrid 28933, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 11期

关键词：

Fisher-KPP equation; reaction-diffusion; travelling wave solutions;

D O I：

10.1016/j.aml.2005.02.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Fisher-KPP equation with general nonlinear diffusion and arbitrary kinetic orders in the reaction terms is considered. The existence of oscillatory travelling wave solutions is proved for this model. Conditions for the existence of such solutions are provided. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1281 / 1285

页数：5

共 12 条

[1]

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

[2] Attractors in a density-dependent diffusion-reaction model [J].

Biro, Z .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (05) :485-499

[3] Global travelling waves in reaction-convection-diffusion equations [J].

de Pablo, A ;

Sánchez, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 165 (02) :377-413

[4] TRAVELING WAVES AND FINITE PROPAGATION IN A REACTION-DIFFUSION EQUATION [J].

DEPABLO, A ;

VAZQUEZ, JL .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 93 (01) :19-61

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

Fisher, RA .

ANNALS OF EUGENICS, 1937, 7 :355-369

[6]

GILDING BH, 2001, 1585 U TWENTE

[7]

Kolmogorov A., 1937, Bull. Moscow State Univ. Ser. A: Math. Mech, V1, P1

[8] Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations [J].

Malaguti, L ;

Marcelli, C .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 195 (02) :471-496

[9]

Murray JD, 1993, MATH BIOL, DOI DOI 10.1007/978-3-662-08542-4

[10] TRAVELING-WAVE PHENOMENA IN SOME DEGENERATE REACTION-DIFFUSION EQUATIONS [J].

SANCHEZGARDUNO, F ;

MAINI, PK .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 117 (02) :281-319

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