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.

Dieser Artikel untersucht Zeitreisen und deren Auswirkungen.

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