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Exact traveling wave solutions for diffusive Lotka–Volterra systems of two competing species

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Abstract

By introducing appropriate ansätzes, we prove in this paper that new exact traveling wave solutions for Lotka–Volterra systems of two competing species exist by constructing explicit solutions. In particular, it is notable that these exact traveling wave solutions may motivate us to explore new phenomena which appear in this system.

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Correspondence to Li-Chang Hung.

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In loving memory of my grandmother Yung-Chun (Haruko) Hung-Hsin (1905–1999).

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Hung, LC. Exact traveling wave solutions for diffusive Lotka–Volterra systems of two competing species. Japan J. Indust. Appl. Math. 29, 237–251 (2012). https://doi.org/10.1007/s13160-012-0056-2

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  • DOI: https://doi.org/10.1007/s13160-012-0056-2

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