WTC solutions to a generalized nonlinear Schrödinger equation

Abstract

A generalized nonlinear Schrödinger equation admits WTC formal solutions as was shown by Clarkson. We show that they are convergent and determine real-analytic solutions near a noncharacteristic, movable singularity manifold.

This paper has been withdrawn since the author now thinks it needs much improvement

References in corpus (1)

• The Radius of Convergence and the Well-Posedness of the Painlevé Expansions of the Korteweg-deVries equation