Generalized Heisenberg ferromagnet models via Hermitian symmetric spaces

DOI10.1088/0305-4470/34/14/320zbMath0996.82018OpenAlexW2036048009MaRDI QIDQ4552127

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Publication date: 29 August 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/14/320

zbMATH Keywords

nonlinear Schrödinger equationHermitian symmetric spacesHeisenberg ferromagnet model

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Differential geometry of symmetric spaces (53C35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (6)

Solitons and quasi-Grammians of the generalized lattice Heisenberg magnet model ⋮ Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation ⋮ Multisolitons of the \(\mathrm{U}(N)\) generalized Heisenberg magnet model and the Yang-Baxter relation ⋮ CONSERVED QUANTITIES IN THE GENERALIZED HEISENBERG MAGNET (GHM) MODEL ⋮ Quasideterminant solutions of nonlinear Schrödinger equations based on Hermitian symmetric spaces ⋮ Generalized lattice Heisenberg magnet model and its quasideterminant soliton solutions

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