An attempt to differential Galois theory of second order polynomial system and solvable subgroup of Möbius transformations

DOI10.1007/s11425-007-2079-8zbMath1130.34062OpenAlexW986149783MaRDI QIDQ995707

Jinzhi Lei, Ke-Ying Guan

Publication date: 10 September 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-2079-8

zbMATH Keywords

Liouville integrabilityMöbius transformationconformal differential Galois group

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (2)

The Lie group and integrability of the Fisher type travelling wave equation ⋮ Cantor limit set of a topological transformation group on \(S^{1}\)

Cites Work

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• On nonlinear differential Galois theory
• Structure of solvable subgroups of \(SL(2,\mathbb{C})\) and integrability of Fuchsian equations on the torus \(T^ 2\)
• Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
• Liouvillian First Integrals of Differential Equations
• On the relation between distinct particular solutions of equation
• Symmetries and differential equations

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