The curvature of semidirect product groups associated with two-component Hunter–Saxton systems
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Publication:3008802
DOI10.1088/1751-8113/44/22/225203zbMath1217.37069arXiv1010.2363OpenAlexW1983375291MaRDI QIDQ3008802
Publication date: 22 June 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.2363
Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Group structures and generalizations on infinite-dimensional manifolds (58B25)
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Geometric numerical integrators for Hunter-Saxton-like equations ⋮ Multi-soliton solution to the two-component Hunter-Saxton equation ⋮ A two-component geodesic equation on a space of constant positive curvature ⋮ On initial boundary value problems for variants of the Hunter-Saxton equation ⋮ On initial data problem for a periodic two-componentμ-Hunter-Saxton system ⋮ Spheres, Kähler geometry and the Hunter–Saxton system ⋮ Global weak solutions for a periodic two-component μ -Camassa-Holm system ⋮ Wave breaking and global existence for a weakly dissipative generalized two-component \(\mu\)-Hunter-Saxton system ⋮ On initial data problem for a periodic 2-component \(\mu\)-b system
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