Analytic linearization of the Korteweg-de Vries equation

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.

Identifiers

DOI

10.2140/pjm.1983.108.203

Citations and references