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Nonlinear partial differential equations associated with binormal motions of constant torsion curves in Minkowski 3-space

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Abstract

We give three nonlinear partial differential equations which are associated with binormal motions of constant torsion curves in Minkowski 3-space. We also give Bäcklund transformations for these equations, as well as for surfaces swept out by related moving curves. As applications, from some trivial binormal motions we construct some new binormal motions.

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Authors and Affiliations

  1. School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002, Jiangsu, People’s Republic of China

    Chuanyou Xu & Xifang Cao

  2. School of Mathematical and Computation Sciences, Fuyang Teachers College, Fuyang, 236041, Anhui, People’s Republic of China

    Chuanyou Xu

Authors
  1. Chuanyou Xu
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  2. Xifang Cao
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Correspondence to Chuanyou Xu.

Additional information

This work is supported by the NSF of China (11101352 and 11071208) and the Natural Science Foundation of Anhui Education Committee (KJ2011D125).

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Xu, C., Cao, X. Nonlinear partial differential equations associated with binormal motions of constant torsion curves in Minkowski 3-space. Arch. Math. 99, 481–492 (2012). https://doi.org/10.1007/s00013-012-0443-6

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  • DOI: https://doi.org/10.1007/s00013-012-0443-6

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