A method to tackle first-order ordinary differential equations with Liouvillian functions in the solution
From MaRDI portal
Publication:4465666
DOI10.1088/0305-4470/35/17/306zbMath1040.34006arXivmath-ph/0107007OpenAlexW1973429898MaRDI QIDQ4465666
L. G. S. Duarte, S. E. S. Duarte, L. A. C. P. da Mota
Publication date: 9 June 2004
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0107007
Nonlinear ordinary differential equations and systems (34A34) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)
Related Items (12)
A Maple package to find first order differential invariants of 2ODEs via a Darboux approach ⋮ A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations ⋮ Discontinuous Galerkin \(h p\)-adaptive methods for multiscale chemical reactors: quiescent reactors ⋮ Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: the \(S\)-function method ⋮ Symbolic computations of first integrals for polynomial vector fields ⋮ Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time ⋮ On the complete integrability and linearization of nonlinear ordinary differential equations. III. Coupled first-order equations ⋮ Integrating first-order differential equations with Liouvillian solutions via quadratures: a semi-algorithmic method ⋮ Determining Liouvillian first integrals for dynamical systems in the plane ⋮ An analytical scheme on complete integrability of 2D biophysical excitable systems ⋮ Finding elementary first integrals for rational second order ordinary differential equations ⋮ A simple and unified approach to identify integrable nonlinear oscillators and systems
This page was built for publication: A method to tackle first-order ordinary differential equations with Liouvillian functions in the solution
