Hamiltonian flows on null curves

DOI10.1088/0951-7715/23/9/005zbMath1203.37116arXiv0911.4467OpenAlexW3101265937MaRDI QIDQ4930119

Lorenzo Nicolodi, Emilio Musso

Publication date: 28 September 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4467

zbMATH Keywords

KdV equationsecond Painlevé equationKdV hierarchyEuler-Lagrange equationMaurer-Cartan equationFrenet-Serret systemcongruence curve

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) Differential invariants (local theory), geometric objects (53A55)

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Null curve evolution in four-dimensional pseudo-Euclidean spaces ⋮ Elastic null curve flows, nonlinear C-integrable systems, and geometric realization of Cole-Hopf transformations ⋮ The variation of the electric field along optic fiber for null Cartan and pseudo-null frames ⋮ The noncommutative KdV equation and its para-Kähler structure ⋮ Topologically embedded helicoidal pseudospherical cylinders ⋮ Lagrangian curves in a 4-dimensional affine symplectic space ⋮ Critical Robertson-Walker universes ⋮ On the vortex filament in 3-spaces and its generalizations ⋮ Integrable systems from inelastic curve flows in 2– and 3– dimensional Minkowski space ⋮ Closed 1/2-elasticae in the 2-sphere ⋮ MOTIONS OF CARTAN CURVES IN n-DIMENSIONAL MINKOWSKI SPACE ⋮ Integrability aspects of the vortex filament equation for pseudo-null curves

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