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

Ozemir, Cihangir; GUNGOR, F

doi:10.1088/0305-4470/39/12/008

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

Atıf İçin Kopyala

Ozemir C., GUNGOR F.

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

Yayın Türü: Makale / Tam Makale
Cilt numarası: 39 Sayı: 12
Basım Tarihi: 2006
Doi Numarası: 10.1088/0305-4470/39/12/008
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2973-2993
İstanbul Teknik Üniversitesi Adresli: Hayır

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.