Ritt-Wu Characteristic Set Method for Laurent Partial Differential Polynomial Systems

作     者：HU Youren GAO Xiao-Shan 

作者机构：KLMM Academy of Mathematics and Systems Science Chinese Academy of Sciences School of Mathematics University of Chinese Academy of Sciences Chinese Academy of Sciences 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2019年第32卷第1期

页      面：62-77页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by NKRDPC under Grant No.2018YFA0306702 the National Natural Science Foundation of China under Grant No.11688101 

主　　题：Newton polygon Laurent partial differential polynomial system Laurent regular triangular set Ritt-Wu characteristic set 

摘      要：In this paper, a Ritt-Wu characteristic set method for Laurent partial differential polynomial systems is presented. The concept of Laurent regular differential chain is de?ned and its basic properties are proved. The authors give a partial method to decide whether a Laurent differential chain A is Laurent regular. The decision for whether A is Laurent regular is reduced to the decision of whether a univariate differential chain A1 is Laurent regular. For a univariate differential chain A1,the authors ?rst give a criterion for whether A1 is Laurent regular in terms of its generic zeros and then give partial results on deciding whether A1 is Laurent regular.