Geometric solitons of Hamiltonian flows on manifolds

DOI10.1063/1.4848775zbMath1337.37056arXiv1212.3934OpenAlexW1987392547MaRDI QIDQ5412788

Chong Song, Xiao Wei Sun, You-De Wang

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1212.3934

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items

Hamiltonian dynamical systems and geometry of surfaces in 3-D ⋮ Magnetic maps ⋮ \(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\) ⋮ Vortex structures for some geometric flows from pseudo-Euclidean spaces ⋮ Magnetic curves in Sasakian manifolds ⋮ Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application

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