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Asymptotic solution convergence to a traveling wave in the Kolmogorov–Petrovskii–Piskunov equation
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Asymptotic solution convergence to a traveling wave in the Kolmogorov–Petrovskii–Piskunov equation
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Journal Article
Asymptotic solution convergence to a traveling wave in the Kolmogorov–Petrovskii–Piskunov equation
2025
Overview
For a semilinear parabolic partial differential equation, we consider an asymptotic solution that converges to a traveling wave at large times
. The velocity of such a wave is time dependent, and we construct the asymptotics as
. We find that the asymptotics contains logarithms and cannot be constructed in the form of a power series.
Publisher
Pleiades Publishing,Springer Nature B.V
