Formal solutions of completely integrable Pfaffian systems with normal crossings

被引：2
作者：
Barkatou, Moulay A. [1 ,2 ]
Aroschek, Maximilian J. [3 ]
Maddah, Suzy S. [4 ]
机构：
[1] Univ Limoges, DMI, XLIM UMR 7252, 123 Ave Albert Thomas, F-87060 Limoges, France
[2] CNRS, 123 Ave Albert Thomas, F-87060 Limoges, France
[3] Max Planck Inst Informat, Saarland Informat Campus E1 4, D-66123 Saarbrucken, Germany
[4] Fields Inst, 222 Coll St, Toronto, ON M5T 3J1, Canada
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2017年 / 81卷
关键词：
Linear systems of partial differential equations; Pfaffian systems; Formal solutions; Rank reduction; Hukuhara-Turrittin's normal form; Normal crossings; ALGORITHM;
D O I：
10.1016/j.jsc.2016.11.018
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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 partially(2) implemented in the computer algebra system MAPLE. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：41 / 68
页数：28
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