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Physical Review E
We consider a general system of coupled nonlinear diffusion equations that are characterized by having degenerate source terms and thereby not having isolated rest states. Using a general form of physically relevant source terms, we derive conditions that are required to trigger traveling waves when a stable uniform steady-state solution is perturbed by a highly localized disturbance. We show that the degeneracy in the source terms implies that traveling waves have a number of surprisingdoi:10.1103/physreve.74.021909 pmid:17025474 fatcat:o3cjjnufprdt3efkgbrvrjxf6q