@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",
number = "1585",
address = "Netherlands",
}