Group classification of nonlinear Schrödinger equations

2003/01/09 by Anatoly G. Nikitin, Roman O. Popovych
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.AP #math.MP #nlin.SI #quant-ph #msc:35A30 #msc:35Q55 #msc:58J70 #msc:81R05

paper · pdf

published as Ukr.Math.J. 53 (2001) 1255-1265 · 11 pages, LaTeX2e

arxiv created 2003/01/09 · arxiv updated 2009/11/30

Abstract

The authors suggest a new powerful tool for solving group classification problems, that is applied to obtaining the complete group classification in the class of nonlinear Schrödinger equations of the form iψ_t+Δψ+F(ψ,ψ^*)=0.

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