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Group classification of nonlinear Schrödinger equations

Anatoly G. Nikitin, Roman O. Popovych

math-pharXiv:math-ph/0301009

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 iψt+Δψ+F(ψ,ψ*)=0.

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