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Group Classification of Nonlinear Schrödinger Equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

We propose an approach to problems of group classification. By using this approach, we perform a complete group classification of nonlinear Schrödinger equations of the form iψ t + Δψ + F(ψ, ψ*) = 0.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. G. Nikitin & R. O. Popovych

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  1. A. G. Nikitin
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  2. R. O. Popovych
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Nikitin, A.G., Popovych, R.O. Group Classification of Nonlinear Schrödinger Equations. Ukrainian Mathematical Journal 53, 1255–1265 (2001). https://doi.org/10.1023/A:1013347626895

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