三维Minkowski空间中的曲面及其可积性

利用可积系统的思想,借助三维Minkowski空间L3的矩阵模型,研究了L3中具有调和逆平均曲率的类空曲面和洛伦兹调和逆平均曲率类时曲面的可积性及其形变.     

THE SUPER-BIHAMILTONIAN REDUCTION ON C~∞(S~1, OSP(1|2))

In this article, we will show that the super-bihamiltonian structures of the Kuper- KdV equation in [3], the Kuper-CH equation in [17, 18] and the super-HS equation in [11, 16, 19] can be obtained by applying a super-bihamiltonian reduction of different super-Poisson pairs defined on the loop algebra of osp（1｜2）.     

A Super Generalization of KdV6 Equation

In this paper, we propose a fermionic generalization of KdV6 equation and study its integrability. Moreover, we show that this equation is a constraint Hamiltonian flow on the coadjoint orbit of Neveu-Schwarz superalgebra.     

三维Minkowski空间中的曲面及其可积性

利用可积系统的思想,借助三维Minkowski空间L3的矩阵模型,研究了L3中具有调和逆平均曲率的类空曲面和洛伦兹调和逆平均曲率类时曲面的可积性及其形变.     

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

In this paper, infinitesimal deformations of time-like surfaces are investigated in Minkowski 3-space R^2,1. 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.