A variable coefficient nonlinear Schrodinger equation with a four-dimensional symmetry group and blow-up


Gungor F., Hasanov M., Özemir C.

APPLICABLE ANALYSIS, cilt.92, ss.1322-1331, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 92 Konu: 6
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1080/00036811.2012.676165
  • Dergi Adı: APPLICABLE ANALYSIS
  • Sayfa Sayıları: ss.1322-1331

Özet

A canonical variable coefficient nonlinear Schrodinger equation with a four-dimensional symmetry group containing SL(2,) group as a subgroup is considered. This typical invariance is then used to transform by a symmetry transformation a known solution that can be derived by truncating its Painleve expansion and study blow-ups of these solutions in the L-p-norm for p>2, L-norm and in the sense of distributions.