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- W42022191 abstract "The long-time asymptotic solution of the Korteweg-deVries equation, corresponding to initial data which decay rapidly as |x|→∞ and produce no solitons, is found to be considerably more complicated than previously reported. In general, the asymptotic solution consists of exponential decay, similarity, rapid oscillations and a “collisionless shock” layer. The wave amplitude in this layer decays as [(lnt)/t]2/3. Only for very special initial conditions is the shock layer absent from the solution." @default.
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- W42022191 title "Asymptotic Solutions of the Korteweg-deVries Equation" @default.
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- W42022191 doi "https://doi.org/10.1002/sapm197757113" @default.
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