The kinematics of the planar motion of ideal fiber-reinforced fluids: an integrable reduction and Bäcklund transformation

DOI10.1023/A:1027374205344zbMath1178.37089OpenAlexW322044026MaRDI QIDQ2654840

Wolfgang K. Schief, Colin Rogers

Publication date: 21 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1027374205344

zbMATH Keywords

kinematicsBäcklund transformationfiber-reinforced materials

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Multiphase and multicomponent flows (76T99) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

On the Geometry of Complex-Lamellar Magnetohydrodynamics: Universal Motions ⋮ On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability ⋮ A two-dimensional magnetohydrodynamic system: geometric decomposition and canonical reduction ⋮ On \(2+1\)-dimensional fibre-reinforced fluid motions: a magnetohydrodynamics nexus ⋮ On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure

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