@book{b412d0997ed8418fac1ad689c8bfb923,

title = "Travelling waves in nonlinear diffusion-convection-reaction",

abstract = "The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes. Whether or not a nonlinear second-order scalar reaction-convection-diffusion equation admits a travelling-wave solution can be determined by the study of a singular nonlinear integral equation. This article is devoted to demonstrating how this correspondence unifies and generalizes previous results on the occurrence of travelling-wave solutions of such partial differential equations. The detailed comparison with earlier results simultaneously provides a survey of the topic. It covers travelling-wave solutions of generalizations of the Fisher, Newell-Whitehead, Zeldovich, KPP and Nagumo equations, the Burgers and nonlinear Fokker-Planck equations, and extensions of the porous media equation.",

keywords = "METIS-200352, MSC-80A25, MSC-92D25, MSC-76R99, MSC-35K65, MSC-35K57, MSC-35K55, EWI-3405, IR-65772",

author = "B.H. Gilding and R. Kersner",

note = "Imported from MEMORANDA ",

year = "2001",

language = "Undefined",

isbn = "0169-2690",

series = "Memorandum Faculteit TW",

publisher = "University of Twente, Faculty of Mathematical Sciences",

number = "1585",

}