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

被引:7
|
作者
Sánchez-Valdés, A [1 ]
Hernández-Bermejo, B [1 ]
机构
[1] Univ Rey Juan Carlos, ESCET, Edificio Departamental 2, Madrid 28933, Spain
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
收藏
页码:1281 / 1285
页数:5
相关论文
共 50 条
  • [11] Convergence to a Single Wave in the Fisher-KPP Equation
    Nolen, James
    Roquejoffre, Jean-Michel
    Ryzhik, Lenya
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2017, 38 (02) : 629 - 646
  • [12] Hopf bifurcation of traveling wave solutions of delayed Fisher-KPP equation
    Yang, Gaoxiang
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 220 : 213 - 220
  • [13] BOUNDS ON THE CRITICAL TIMES FOR THE GENERAL FISHER-KPP EQUATION
    Rodrigo, Marianito R.
    ANZIAM JOURNAL, 2021, 63 (04): : 448 - 468
  • [14] Entire solutions of the Fisher-KPP equation on the half line
    Lou, Bendong
    Lu, Junfan
    Morita, Yoshihisa
    EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2020, 31 (03) : 407 - 422
  • [15] Travelling waves in the Fisher-KPP equation with nonlinear degenerate or singular diffusion
    Drabek, Pavel
    Takac, Peter
    APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (02): : 1185 - 1208
  • [16] Qualitative results for solutions of the steady Fisher-KPP equation
    Jordan, PM
    Puri, A
    APPLIED MATHEMATICS LETTERS, 2002, 15 (02) : 239 - 250
  • [17] Entire solutions in the Fisher-KPP equation with nonlocal dispersal
    Li, Wan-Tong
    Sun, Yu-Juan
    Wang, Zhi-Cheng
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2302 - 2313
  • [18] On the transition from initial data to travelling waves in the Fisher-KPP equation
    Sherratt, JA
    DYNAMICS AND STABILITY OF SYSTEMS, 1998, 13 (02): : 167 - 174
  • [19] Exact sharp-fronted travelling wave solutions of the Fisher–KPP equation
    McCue, Scott W.
    El-Hachem, Maud
    Simpson, Matthew J.
    Applied Mathematics Letters, 2021, 114
  • [20] Entire solutions of the Fisher-KPP equation in time periodic media
    Sheng, Wei-Jie
    Cao, Mei-Ling
    DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2012, 9 (02) : 133 - 145