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- W2080510050 abstract "The time evolution and stability of the shock solutions of the Korteweg-de Vries-Burgers equation are studied numerically. It is found that nonanalytic initial data satisfying the boundary conditions of the problem evolve asymptotically into the steady-state shocks predicted by a time-independent analysis. Like Burgers' equation, the Korteweg-de Vries-Burgers equation has a unique shock profile; this analogy suggests that the Kortewegde Vries-Burgers shocks are stable against small perturbations, while the numerical experiments suggest further that the shocks are stable even when subject to large perturbations." @default.
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- W2080510050 date "1977-04-01" @default.
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- W2080510050 title "The Korteweg-de Vries-Burgers equation" @default.
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- W2080510050 doi "https://doi.org/10.1016/0021-9991(77)90070-5" @default.
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