Analytic linearization of the Korteweg-de Vries equation

Erik Taflin

Type: Article

Publication Date: 1983-09-01

Citations: 35

DOI: https://doi.org/10.2140/pjm.1983.108.203

Abstract

We prove that the KdV equation is linearized by an analytic function, which is projectively analytically invertible.The Cauchy problem for the KdV equation is entirely solved by this fact.The non-linear superposition principle is a trivial consequence of convexity for the image of the linearization operator.

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

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