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


Ozemir C. , GUNGOR F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, sa.12, ss.2973-2993, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Konu: 12
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0305-4470/39/12/008
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.2973-2993

Özet

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.