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

F. Güngör*, M. Hasanov, C. Özemir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

A canonical variable coefficient nonlinear Schrödinger equation with a four-dimensional symmetry group containing SL(2, ℝ) 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 Painlevé expansion and study blow-ups of these solutions in the L p-norm for p > 2, L -norm and in the sense of distributions.

Original languageEnglish
Pages (from-to)1322-1331
Number of pages10
JournalApplicable Analysis
Volume92
Issue number6
DOIs
Publication statusPublished - Jun 2013

Keywords

  • blow-up
  • exact solutions
  • SL(2, ℝ) invariance
  • variable coefficient nonlinear Schrödinger equation

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