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arXiv · solv-int/9511005

Explicit and Exact Solutions to a Kolmogorov-Petrovskii-Piskunov Equation

Wen-Xiu Ma·Benno Fuchssteiner
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Abstract

Some explicit traveling wave solutions to a Kolmogorov-Petrovskii-Piskunov equation are presented through two ansätze. By a Cole-Hopf transformation, this Kolmogorov-Petrovskii-Piskunov equation is also written as a bilinear equation and further two solutions to describe nonlinear interaction of traveling waves are generated. Bäcklund transformations of the linear form and some special cases are considered.

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Wen-Xiu Ma, Benno Fuchssteiner. 1995-12-01. Explicit and Exact Solutions to a Kolmogorov-Petrovskii-Piskunov Equation. https://doi.org/10.1016/0020-7462(95)00064-x

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