Group Classification of Nonlinear Schrödinger Equations

Nikitin A. G.; Popovich R. O.

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Том 71
№ 11

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Ukr. Mat. Zh.
Volume 53, № 8, 2001
pp. 1053-1060

Group Classification of Nonlinear Schrödinger Equations

Nikitin A. G., Popovich R. O.

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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.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 8, pp 1255-1265.

Citation Example: Nikitin A. G., Popovich R. O. Group Classification of Nonlinear Schrödinger Equations // Ukr. Mat. Zh. - 2001. - 53, № 8. - pp. 1053-1060.

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