Journal of Systems Science and Complexity

, Volume 32, Issue 1, pp 62–77 | Cite as

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

  • Youren HuEmail author
  • Xiao-Shan Gao


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 defined 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 first 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.


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


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.KLMM, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  2. 2.School of Mathematics, University of Chinese Academy of SciencesChinese Academy of SciencesBeijingChina

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