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Continuity of the Scattering Transformation for the Korteweg de Vries Equation

Published online by Cambridge University Press:  20 November 2018

Henri-François Gautrin
Affiliation:
University of Montreal, Montreal, Quebec
Tapio Klemola
Affiliation:
University of Montreal, Montreal, Quebec
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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

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1986

References

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