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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2007, Volume 3, Number 3, Pages 349–362
(Mi nd143)
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This article is cited in 4 scientific papers (total in 4 papers)
Group theoretical solutions of Schrödinger equation generated by three-dimensional symmetry algebras
K. K. Izmailovaab, A. P. Chupakhinab a M. A. Lavrent'ev Institute of Hydrodynamics
b Novosibirsk State University
Abstract:
Nonlinear Schrödinger equation (NSE) has many applications in mathematical physics (nonlinear optics, wave theory and so on). Gagnon and Winternitz have constructed symmetry algebra $L_{12}$ and optimal system of subalgebras for NSE (1989). It's an extension of Galilei algebra $L_{11}$ admitted gas dynamics equations. Its three-dimensional symmetry subalgebras generate 27 different submodels. List of all solutions corresponding to these algebras has been received in this paper. Most of this solutions have not investigate previously.
Keywords:
Schrцdinger equation, Lie algebra, invariant solution, partial invariant solution, factor system.
Citation:
K. K. Izmailova, A. P. Chupakhin, “Group theoretical solutions of Schrödinger equation generated by three-dimensional symmetry algebras”, Nelin. Dinam., 3:3 (2007), 349–362
Linking options:
https://www.mathnet.ru/eng/nd143 https://www.mathnet.ru/eng/nd/v3/i3/p349
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Abstract page: | 244 | Full-text PDF : | 76 | First page: | 1 |
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