非线性户田晶格方程的延拓结构（英文）  

Prolongation Structure of the Nonlinear Toda Lattice Equation

作　　者：白永强[1,2] 

机构地区：[1]河南大学现代擞学研究所,河南开封475004 [2]河南大学数学与统计学院,河南开封475004

出　　处：《应用数学》2015年第3期706-711,共6页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(10801045)

摘　　要：本文研究户田晶格方程的延拓结构.利用非交换微分和求差分微分方程延拓结构的方法,得到户田晶格方程的拉克斯对.Based on the noncommutative differential calculus, we have presented a theory of prolongation structure for semi-discrete nonlinear evolution systems and have discussed some discrete model of nonlinear evolution equations. By means of this theory, we discuss the Toda lattice equation and obtain its Lax pair.

关 键 词：非交换微分 拉克斯对 户田晶格 

分 类 号：O175.7[理学—数学]