Integrable Dynamics of Discrete Surfaces II

抄録

The discrete surfaces (triangulate surfaces) in 3-dimensional spaceare mapped to the sphere S² and differential-difference equations are obtained to describe the motion of the discrete surfaces on the S². These equations contain integrable dynamics such as the discrete nonlinear Schrödinger equation and the discrete complex mKdV equation. Relations between the motion of discrete surfaces and nonlinear integrable differential-difference equations are discussed.