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The paper is concerned with a singular limit for the bistable traveling waveproblem in a very large class of two-species fully nonlinear parabolic systemswith competitive reaction terms. Assuming existence of traveling waves andenough compactness, we derive and characterize the limiting problem. Theassumptions and results are discussed in detail. The free boundary problemobtained at the limit is specified for important applications.

Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system