Group-invariant solutions of the (2+1)-dimensional cubic Schrodinger equation


Ozemir C. , GUNGOR F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.39, no.12, pp.2973-2993, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 12
  • Publication Date: 2006
  • Doi Number: 10.1088/0305-4470/39/12/008
  • Title of Journal : JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Page Numbers: pp.2973-2993

Abstract

We use Lie point symmetries of the (2+1)-dimensional cubic Schrodinger equation to obtain new analytic solutions in a systematic manner. We present an analysis of the reduced ODEs, and in particular show that although the original equation is not integrable they typically can belong to the class of Painleve-type equations.