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

被引：2

作者：

Xu, Chuanyou ^{[1
,2
]}

Cao, Xifang ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

[2] Fuyang Teachers Coll, Sch Math & Computat Sci, Fuyang 236041, Anhui, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2012年 / 99卷 / 05期

关键词：

Minkowski space; Spacelike curve; Timelike curve; Backlund transformation; INTEGRABLE EQUATIONS; SOLITON;

D O I：

10.1007/s00013-012-0443-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give three nonlinear partial differential equations which are associated with binormal motions of constant torsion curves in Minkowski 3-space. We also give Backlund 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.

引用

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页码：481 / 492

页数：12

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