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Travelling fronts for correlated random walks. (English) Zbl 0802.60065
From the abstract: Scalar reaction diffusion equations describe Brownian motion and multiplication of particles. If Brownian motion is replaced by a correlated random walk, then one obtains nonlinear hyperbolic systems. In the special case of one hyperbolic equation and in the general case of a hyperbolic system the existence problem for travelling front solutions is studied in detail.

60G50 Sums of independent random variables; random walks
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
60J65 Brownian motion
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)