Formal solutions of completely integrable Pfaffian systems with normal crossings

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• 作者：Moulay A. Barkatou^a ; ^{moulay.barkatou@unilim.fr} ; Maximilian Jaroschek^b ; ¹ ; ^{maximilian@mjaroschek.com} ; Suzy S. Maddah^c ; ^{suzy.maddah@inria.fr}
• 关键词：Linear systems of partial differential equations ; Pfaffian systems ; Formal solutions ; Rank reduction ; Hukuhara&ndash ; Turrittin's normal form ; Normal crossings
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：July-August 2017
• 年：2017
• 卷：81
• 期：Complete
• 页码：41-68
• 全文大小：690 K
• 卷排序：81

文摘

In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of completely integrable Pfaffian systems with normal crossings in several variables. This algorithm is a generalization of a method developed for the bivariate case based on a combination of several reduction techniques and is partially2 implemented in the computer algebra system Maple.