scientific article; zbMATH DE number 857079

zbMath0845.35109arXivsolv-int/9403001MaRDI QIDQ4870167

Ron Perline, Joel C. Langer

Publication date: 17 March 1996

Full work available at URL: https://arxiv.org/abs/solv-int/9403001

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zbMATH Keywords

modified Korteweg-de Vries equationPoisson geometrystructure of the planar filament equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (6)

Generalized elastic line deformed on a nonnull surface by an external field in the 3-dimensional semi-Euclidean space \(\mathbb{E}_{1}^{3}\) ⋮ On the bicycle transformation and the filament equation: results and conjectures ⋮ Moving space curve equations and a family of coupled KdV type systems. ⋮ Asymptotics of eigenfrequencies and eigenmodes of non-homogeneous inextensible filament with an end load ⋮ Evolution of curvature invariants and lifting integrability ⋮ A Lie algebra structure on variation vector fields along curves in 2-dimensional space forms

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