Equilibrium states of Burgers and Korteweg-de Vries equations.
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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
Non-differentiable solutions of a family of modified Korteweg-de Vries equations within local fractional derivative
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DOI: 10.2298/tsci200201110y
Abstract: In this paper, a family of modified Korteweg-de Vries equations within local fractional derivative are constructed, and their non-differentiable solutions are dis-cussed by using several methods. read more here.
Keywords: family modified; within local; equations within; korteweg vries ... See more keywords