四维闵可夫斯基空间中双曲曲面运动

Deformation of surfaces in Hyperboloid in the four-dimensional Minkowski space

研究了四维闵可夫斯基空间中的双曲曲面运动.这种曲面运动与通常的曲面运动是不同的,它是通过对四维闵可夫斯基空间中的双曲曲线运动公式增加一个额外的空间变量得到的.通过这种曲面运动可以得到2+1维的复mKdV方程.

Deformation of surfaces in Hyperboloid in the four-dimensional Minkowski space is studied.Such surface deformation is different from general motion of surface,which is induced by adding an extra space variable to the motions of space curves in Hyperboloid in four-dimensional Minkowski space.It is shown that the 2＋1-dimensional complex mKdV equation arises from such motion.