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

被引：0

作者：

C. Rogers

W. K. Schief

机构：

[1] The University of New South Wales,School of Mathematics

来源：

Theoretical and Mathematical Physics | 2003年 / 137卷

关键词：

kinematics; fiber-reinforced materials; Bäcklund transformation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1598 / 1608

页数：10

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