Schrödinger equation with convolution nonlinearity on Lie groups and commutative homogeneous spaces

DOI10.1007/S11182-014-0343-2zbMath1326.22018OpenAlexW2077966058WikidataQ115381248 ScholiaQ115381248MaRDI QIDQ895026

A. I. Breev

Publication date: 26 November 2015

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-014-0343-2

zbMATH Keywords

\(\lambda\)-representationmethod of orbitsSchrödinger equation with convolution nonlinearity

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (1)

Noncommutative integration and symmetry algebra of the Dirac equation on the Lie groups

Cites Work

• Unnamed Item
• Polarization of a spinor field vacuum on manifolds of the Lie groups
• Noncommutative integration of linear differential equations
• Integrable field models on manifolds of the Lie groups

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