Nonlinear partial differential equations associated with binormal motions of constant torsion curves in Minkowski 3-space |
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| Authors: | Chuanyou Xu Xifang Cao |
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| Institution: | 1. School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002, Jiangsu, People??s Republic of China
2. School of Mathematical and Computation Sciences, Fuyang Teachers College, Fuyang, 236041, Anhui, People??s Republic of China
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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 B?cklund 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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