Singularity analysis for autonomous and nonautonomous differential equations-Reference-Cited by-同舟云学术

Singularity analysis for autonomous and nonautonomous differential equations

Published:2011 Issue:2 Volume:5 Page:230-239
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Andriopoulos Kostis¹,Leach Peter²

Affiliation:

1. Department of Mathematics, University of Patras, Patras, Greece

2. PGL Leach, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X, Durban, South Africa

Abstract

Singularity analysis of ordinary differential equations is an important tool in the determination of the possible integrability of the equations. Although singularity analysis has been studied for decades, it still seems to cause problems in terms of the interpretation of some elements of the analysis. We summaries these problems and try to present a delicate approach towards their resolution by separating the treatment for autonomous and nonautonomous equations.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solutions of Magnetohydrodynamics Equation through Symmetries;Symmetry;2023-10-12

2. Symmetries and solutions for the inviscid oceanic Rossby wave equation;International Journal of Computer Mathematics;2022-12-27

3. Periodic solutions from Lie symmetries for the generalized Chen–Lee–Liu equation;The European Physical Journal Plus;2021-09

4. New insights into singularity analysis;International Journal of Nonlinear Sciences and Numerical Simulation;2021-08-09

5. Lie symmetries and singularity analysis for generalized shallow-water equations;International Journal of Nonlinear Sciences and Numerical Simulation;2020-08-10