Nonlinear ordinary differential equations: A discussion on symmetries and singularities

作者：Paliathanasis Andronikos^*; Leach P G L

来源：International Journal of Geometric Methods in Modern Physics, 2016, 13(7): 1630009.

DOI：10.1142/S0219887816300099

• Lie symmetries
• singularity analysis
• integrability

Two essential methods, the symmetry analysis and the singularity analysis, for the study of the integrability of nonlinear ordinary differential equations is the purpose of this work. The main similarities and the differences of these two different methods are discussed.

• 出版日期2016-8