Exact solutions of the Burgers-Huxley equation via dynamics. (English) Zbl 1439.35429
Summary: According to the results of B. Kruglikov, O. Lychagina, and V. Lychagin, evolutionary partial differential equations determine flows (finite-dimensional dynamics) on solutions’ spaces of ordinary differential equations.
In the present paper, we construct such dynamics for the classical Burgers-Huxley equation and then we use them to construct new exact solutions.
In the present paper, we construct such dynamics for the classical Burgers-Huxley equation and then we use them to construct new exact solutions.
References:
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