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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 137, Number 2, Pages 281–292
DOI: https://doi.org/10.4213/tmf272 (Mi tmf272) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Kinematics of the Planar Motion of Ideal Fiber-Reinforced Fluids: An Integrable Reduction and Bäcklund Transformation

C. Rogersa, W. K. Schief

a University of New South Wales
Full-text PDF (235 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf272
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.
Keywords: kinematics, fiber-reinforced materials, Bäcklund transformation.
English version:
Theoretical and Mathematical Physics, 2003, Volume 137, Issue 2, Pages 1598–1608
DOI: https://doi.org/10.1023/A:1027374205344
Bibliographic databases:
Language: Russian
Citation: C. Rogers, W. K. Schief, “The Kinematics of the Planar Motion of Ideal Fiber-Reinforced Fluids: An Integrable Reduction and Bäcklund Transformation”, TMF, 137:2 (2003), 281–292; Theoret. and Math. Phys., 137:2 (2003), 1598–1608
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\crossref{https://doi.org/10.1023/A:1027374205344}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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