Symmetry classification of variable coefficient cubic-quintic nonlinear Schrodinger equations


Özemir C. , Gungor F.

JOURNAL OF MATHEMATICAL PHYSICS, vol.54, no.2, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 2
  • Publication Date: 2013
  • Doi Number: 10.1063/1.4789543
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS

Abstract

A Lie-algebraic classification of the variable coefficient cubic-quintic nonlinear Schrodinger equations involving 5 arbitrary functions of space and time is performed under the action of equivalence transformations. It is shown that the symmetry group can be at most four-dimensional in the case of genuine cubic-quintic nonlinearity. It may be five-dimensional (isomorphic to the Galilei similitude algebra gs(1)) when the equation is of cubic type, and six-dimensional (isomorphic to the Schrodinger algebra sch(1)) when it is of quintic type. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4789543]