Matrix G-strands

DOI10.1088/0951-7715/27/6/1445zbMath1351.37259arXiv1305.4010OpenAlexW1979184426MaRDI QIDQ5168077

Darryl D. Holm, Rossen I. Ivanov

Publication date: 3 July 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4010

zbMATH Keywords

zero-curvature representationEuler-Poincaré equationsgeometric mechanics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (5)

Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra ⋮ Unnamed Item ⋮ Simulation of viscoelastic Cosserat rods based on the geometrically exact dynamics of special Euclidean strands ⋮ Poisson-Poincaré reduction for field theories ⋮ G -Strands on symmetric spaces

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