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Continuity of the Scattering Transformation for the Korteweg de Vries Equation
Published online by Cambridge University Press: 20 November 2018
Extract
It is at present well known that, if q(x, t) is a solution of the Korteweg de Vries (K d V) equation
(1)
such that q(x, 0) = q0(x), where q0(x) behaves reasonably at infinity, and if
are the scattering data (see [4]) corresponding to q(x, t), then
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- Copyright © Canadian Mathematical Society 1986