Article ID Journal Published Year Pages File Type
4611009 Journal of Differential Equations 2013 38 Pages PDF
Abstract

The paper is concerned with a class of nonlinear second-order hyperbolic partial differential equations. Necessary and sufficient conditions for the occurrence of traveling-wave solutions are derived, and the spectra of wave-speeds for which such solutions exist are characterized. An integral equation approach is employed. Models of branching random walks, conduction in transmission lines, and biological dispersal provide illustrations.

Related Topics
Physical Sciences and Engineering Mathematics Analysis