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Prof. Reda Gamal Abd El –Rahman Khaled :: Publications:

Title:
“On the exact solution of (2+1)- dimensional cubic nonlinear Shrodinger equation”
Authors: Efatt A. Saied and Reda G. Abd El -Rahman
Year: 2003
Keywords: Not Available
Journal: Journal of Physics A: Mathematical and General
Volume: 36
Issue: 24
Pages: Not Available
Publisher: Not Available
Local/International: International
Paper Link: Not Available
Full paper 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.

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