Periodic Cauchy problem of Heisenberg ferromagnet and its geometric framework

DOI10.1007/s11784-021-00913-wzbMath1478.82012OpenAlexW4205651698MaRDI QIDQ2073461

Hsiao-Fan Liu

Publication date: 2 February 2022

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-021-00913-w

zbMATH Keywords

nonlinear Schrödinger equationvortex filament equationHeisenberg ferromagnetimplicit spectral method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Curves in Euclidean and related spaces (53A04) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Statistical mechanics of magnetic materials (82D40)

Cites Work

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• Dispersive Geometric Curve Flows
• A numerical and theoretical study of certain nonlinear wave phenomena
• Bäcklund transformations and loop group actions
• Solitons for the Schrödinger flows on Hermitian symmetric spaces
• Completely integrable curve flows on adjoint orbits

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