@article {Schief:November 2003:0033-5614:493,
	author = "Schief W.K.",
	author = "Rogers C.",
	title = "The Kinematics of Fibre-Reinforced Fluids. An Integrable Reduction",
	journal = "Quarterly Journal of Mechanics and Applied Mathematics",
	volume = "56",
	year = "November 2003",
	abstract = "A geometric formulation previously adopted in hydrodynamics and soliton theory is used here to investigate the kinematic conditions attendant upon the motion of an ideal fibre-reinforced fluid. Conditions are established for the existence of multiple-fibre configurations. Kinematically admissible spatial motions are obtained in which the fibres are geodesic windings on nested toroidal surfaces. In the case of purely planar motion, it is shown that the kinematic relations reduce to a third-order nonlinear equation. Remarkably, this admits a reduction to a solitonic system which is related to the classical sine-Gordon equation. The kinematic conditions in this case possess a duality property.",
	pages = "493-512(20)",
	url = "http://www.ingentaconnect.com/content/oup/qjmamj/2003/00000056/00000004/art00493"
}