Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (4): 519-528.

• Articles • Previous Articles     Next Articles

INFINITESIMAL DEFORMATIONS OF TIME-LIKE
SURFACES IN MINKOWSKI 3-SPACE

 ZUO Da-Feng, CHEN Qing, CHENG Yi, ZHOU Kou-Hua   

  1. 1.Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
    2.Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
    3.Department of Mathematics, Yangzhou University, Yangzhou 225002, China
  • Online:2004-10-20 Published:2004-10-20
  • Supported by:

    This work was supported by NSFC(10301030) and 973 project “nonlinear
    science”.

Abstract:

In this paper, infinitesimal deformations of time-like surfaces are investigated
inMinkowski 3-space R2
,
1. It is shown that some given deformations of the time-like surface
can be described by 2+1 dimensional integrable systems. Moreover spectral parameters
are introduced, and it is proved that deformation families are soliton surfaces’ families.

Key words: Time-like, deformation;2 + 1 dimensional system

CLC Number: 

  • 35Q51
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