On the exact solution of (2+1)-dimensional cubic nonlinear Schrödinger (NLS) equation

, and

Published 5 June 2003 • Published under licence by IOP Publishing Ltd
, , Citation E A Saied et al 2003 J. Phys. A: Math. Gen. 36 6751 DOI 10.1088/0305-4470/36/24/312

Download Article PDF

Article metrics

180 Total downloads

Share this article

Author affiliations

1 Mathematics Department, Faculty of Science, Benha University, Benha, Egypt

Dates

  1. Received 28 October 2002
  2. Published

Buy this article in print

0305-4470/36/24/6751

Abstract

In this paper, symmetry reductions for a cubic nonlinear Schrödinger (NLS) equation to complex ordinary differential equations are presented. These are obtained by means of Lie's method of infinitesimal transformation groups. It is shown that ten types of subgroups of the symmetry group lead, via symmetry reduction, to ordinary differential equations. These equations are solved and the similarity solutions are obtained.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
10.1088/0305-4470/36/24/312