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“On the exact solution of (2+1)- dimensional cubic nonlinear Shrodinger equation”

Journal of Physics A: Mathematical and General • 2003
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Publication Information
Authors Efatt A. Saied and Reda G. Abd El -Rahman
Keywords Not Available
Journal Journal of Physics A: Mathematical and General
Publisher Not Available
Volume 36
Issue 24
Pages Not Available
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.