The Kinematics of the Planar Motion of Ideal Fiber-Reinforced Fluids: An Integrable Reduction and Bäcklund Transformation |
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| Authors: | Rogers C. Schief W. K. |
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| Affiliation: | (1) School of Mathematics, The University of New South Wales, Sydney, NSW, 2052, Australia |
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| Abstract: | ![]()
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. |
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| Keywords: | kinematics fiber-reinforced materials Bä cklund transformation |
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