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arXiv · 2504.16296

Traveling wave solutions of the Burgers-Huxley equations

Luis Fernando Mello·Ronisio Moises Ribeiro
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Abstract

We study the traveling wave solutions of the Burgers-Huxley equation from a geometric point of view via the qualitative theory of ordinary differential equations. By using the Poincar\'e compactification we study the global phase portraits of a family of polynomial ordinary differential equations in the plane related to the Burgers-Huxley equation. We obtain the traveling wave solutions and their asymptotic behaviors from the orbits that connect equilibrium points taking into account the restrictions of the studied equation.

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Luis Fernando Mello, Ronisio Moises Ribeiro. 2025-04-22. Traveling wave solutions of the Burgers-Huxley equations. https://arxiv.org/abs/2504.16296

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