Hierarchy of Lax Integrable Lattice Equations, Darboux Transformation and Conservation Laws  

作　　者：孙业朋 

机构地区：[1]Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R . China

出　　处：《Journal of Shanghai University(English Edition)》2005年第6期471-475,共5页上海大学学报（英文版）

基　　金：Project supported by National Natural Science Fundation of China(Grant No .10371070)

摘　　要：A discrete isospectral problem and the associated hierarchy of Lax integrable lattice equations were investigated. A Darboux transformation for the discrete spectral problem was found. Finally, an infinite number of conservation laws were given for the corresponding hierarchy.A discrete isospectral problem and the associated hierarchy of Lax integrable lattice equations were investigated. A Darboux transformation for the discrete spectral problem was found. Finally, an infinite number of conservation laws were given for the corresponding hierarchy.

关 键 词：lattice soliton equation Darboux transformation conservation law. 

分 类 号：O153.1[理学—数学]