Math @ Duke

Publications [#320449] of Stephanos Venakides
Papers Published
 Venakides, S, Long time asymptotics of the kortewegde vries equation,
Transactions of the American Mathematical Society, vol. 293 no. 1
(January, 1986),
pp. 411419, American Mathematical Society (AMS) [doi]
(last updated on 2019/04/26)
Abstract: We study the long time evolution of the solution to the Korteweg de Vries equation with initial data u(x) which satisfy lim y(.x) = 1, lim U(x) = 0. (Formula presented) We show that as t →∞the step emits a wavetrain of solitons which asymptotically have twice the amplitude of the initial step. We derive a lower bound of the number of solitons separated at time t for t large. © 1986 American Mathematical Society.


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