Analytical properties and exact solutions of the Lotka--Volterra competition system
classification
🌊 nlin.SI
keywords
systemcompetitionlotka--volterrasolutionsexactanalyticalconsidereddiffusion
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The Lotka--Volterra competition system with diffusion is considered. The Painlev\'e property of this system is investigated. Exact traveling wave solutions of the Lotka--Volterra competition system are found. Periodic solutions expressed in terms of the Weierstrass elliptic function are also given.
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