“On the exact solution of (2+1)- dimensional cubic nonlinear Shrodinger equation”
Journal of Physics A: Mathematical and General • 2003
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
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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.
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