An integrable class of differential equations with nonlocal nonlinearity on Lie groups

DOI10.1007/S11232-009-0149-5zbMath1186.35230OpenAlexW2036257053WikidataQ115380606 ScholiaQ115380606MaRDI QIDQ2269389

M. M. Goncharovskii, Igor V. Shirokov

Publication date: 16 March 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0149-5

zbMATH Keywords

Lie groupharmonic analysissolitonnonlinear integro-differential equationcoadjoint representation

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Integro-partial differential equations (35R09)

Related Items (1)

Integrating Klein-Gordon-Fock equations in an external electromagnetic field on Lie groups

Cites Work

• Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity
• Quantum Hamiltonian systems on \(K\)-orbits: semiclassical spectrum of the asymmetric top
• Semiclassical trajectory-coherent approximations of Hartree-type equations
• Darboux coordinates on \(K\)-orbits and the spectra of Casimir operators on Lie groups
• Noncommutative integration of linear differential equations

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