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On the exact solution of (2+1) – dimensional cubic nonlinear Schrödinger (NLS) equation,
J. of Phys. A: Math. Gen. • 2003
Publication Information
Authors
E.A. Saied, Reda G. Abdel-Rahman, Marwa I Ghonamy
Keywords
Not Available
Journal
J. of Phys. A: Math. Gen.
Publisher
Not Available
Volume
36
Issue
Not Available
Pages
675
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
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.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.