二阶布里奥-布凯特微分方程的显式单态解

IF 0.6 4区数学 Q3 MATHEMATICS

Computational Methods and Function Theory Pub Date : 2024-01-05 DOI:10.1007/s40315-023-00519-y

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引用次数: 0

摘要

摘要本文研究了一个特殊的二阶 Briot-Bouquet 微分方程。我们通过 Kowalevski-Gambier 方法和仔细的讨论构建了显式分形解。我们如何考虑零点处的相应级数，而不是极点处的劳伦特级数。这种方法对研究许多其他非线性微分方程也很有用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Explicit Meromorphic Solutions of a Second Order Briot–Bouquet Differential Equation

Abstract

In this paper, a special second-order Briot–Bouquet differential equation is studied. We construct explicit meromorphic solutions by the Kowalevski–Gambier method and a careful discussion. How we take into account the corresponding series at zeros, as opposed to the Laurent series at poles. This method is also useful for the study of many other non-linear differential equations.

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来源期刊

Computational Methods and Function Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.