Variable coefficient nonlinear Schrodinger equations with four-dimensional symmetry groups and analysis of their solutions


Özemir C. , Gungor F.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.52, sa.9, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 52 Konu: 9
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1063/1.3634005
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS

Özet

Analytical solutions of variable coefficient nonlinear Schroumldinger equations having four-dimensional symmetry groups, which are in fact the next closest to the integrable ones occurring only when the Lie symmetry group is five-dimensional, are obtained using two different tools. The first tool is to use one-dimensional subgroups of the full symmetry group to generate solutions from those of the reduced ordinary differential equations, namely, group invariant solutions. The other is by truncation in their Painleveacute expansions. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3634005]