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Equilibrium states of Burgers and Korteweg-de Vries equations.

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Published in 2022 at "Physical review. E"

DOI: 10.1103/physreve.105.034121

Abstract: We simulate Korteweg-de Vries (KdV) and dissipationless Burgers equations using δ-correlated random noise as an initial condition. We observe that the energy fluxes of the two equations remain zero throughout, thus, indicating their equilibrium nature. We characterize… read more here.

Keywords: states burgers; energy; korteweg vries; vries equations ... See more keywords