非齐次Toda晶格的对称,精确解和可积性  

SYMMETRIES,EXACT SOLUTIONS AND INTEGRABILITY OF A NONHOMOGENEOUS TODA LATTICE

作　　者：张隽[1] 潘祖梁[1] 

机构地区：[1]浙江大学应用数学系,浙江杭州310027

出　　处：《高校应用数学学报（A辑）》2002年第2期140-144,共5页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：教育部博士点基金 (1 9990 3 3 5 1 6 )

摘　　要：研究非齐次 Toda晶格 ,即一类非齐次非线性微分差分方程的对称与可积性 .给出了这一类方程的 Lie点对称 ,条件对称和精确解 .给出这类方程与Toda晶格之间的可逆点变换 。In this paper the symmetries and integrability of a nonhomogeneous Toda lattice which are a class of nonhomogeneous nonlinear differential-difference equations are studied.Lie point symmetries,conditional symmetries and the exact solutions of this class of equations are given.An inverse point transformation from this class of equations to Toda lattice is presented.It is showed that this class of equations is intergrable.

关 键 词：精确解 非齐次Toda晶格 条件对称 可积性 非线性晶格动力学 

分 类 号：O733.1[理学—晶体学] O175.1