English

WTC solutions to a generalized nonlinear Schr\"odinger equation

Analysis of PDEs 2012-02-14 v2 Mathematical Physics math.MP

Abstract

A generalized nonlinear Schr\"odinger 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.

Keywords

Cite

@article{arxiv.0810.3287,
  title  = {WTC solutions to a generalized nonlinear Schr\"odinger equation},
  author = {Hideshi Yamane},
  journal= {arXiv preprint arXiv:0810.3287},
  year   = {2012}
}

Comments

This paper has been withdrawn since the author now thinks it needs much improvement

R2 v1 2026-06-21T11:32:18.982Z