Geodesic
The Kinematics of the Planar Motion of Ideal Fiber-Reinforced Fluids: An Integrable Reduction and Bдcklund Transformation
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 281-292 Cet article a éte moissonné depuis la source Math-Net.Ru

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We establish that the kinematic constraints on the steady planar motion of an ideal fiber-reinforced fluid can be consolidated in a single third-order nonlinear equation. Remarkably, this equation admits a solitonic reduction related to the classical sine-Gordon equation. The kinematic conditions in this case admit a novel duality property and a Bäcklund transformation.
Keywords: kinematics, fiber-reinforced materials, Bäcklund transformation. 
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     title = {The {Kinematics} of the {Planar} {Motion} of {Ideal} {Fiber-Reinforced} {Fluids:} {An} {Integrable} {Reduction} and {B{\cyrd}cklund} {Transformation}},
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C. Rogers; W. K. Schief. The Kinematics of the Planar Motion of Ideal Fiber-Reinforced Fluids: An Integrable Reduction and Bдcklund Transformation. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 281-292. http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a12/

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