Nonlinear ordinary differential equations: A discussion on symmetries and singularities
A Paliathanasis, PGL Leach - International Journal of Geometric …, 2016 - World Scientific
Nonlinear ordinary differential equations: A discussion on symmetries and singularities Page 1
International Journal of Geometric Methods in Modern Physics Vol. 13, No. 7 (2016) 1630009 …
International Journal of Geometric Methods in Modern Physics Vol. 13, No. 7 (2016) 1630009 …
A new Taylor series based numerical method: Simple, reliable, and promising
Taylor series method is a simple analytical method, which is accessible to all non-
mathematician, has slow convergence. This paper develops a new Taylor series based …
mathematician, has slow convergence. This paper develops a new Taylor series based …
On the reduction methods for ordinary differential equations
E Pucci, G Saccomandi - Journal of Physics A: Mathematical and …, 2002 - iopscience.iop.org
A standard method based on the use of differential invariants of a Lie group, Script G,
enables us to reduce any ordinary differential equation invariant under the action of Script G …
enables us to reduce any ordinary differential equation invariant under the action of Script G …
Finding nonlocal Lie symmetries algorithmically
LGS Duarte, L da Mota, AF Rocha - Chaos, Solitons & Fractals, 2023 - Elsevier
Here we present a new approach to compute symmetries of rational second order ordinary
differential equations (rational 2ODEs). This method can compute Lie symmetries (point …
differential equations (rational 2ODEs). This method can compute Lie symmetries (point …
An integrable SIS model
An integrable SIS model Page 1 J. Math. Anal. Appl. 290 (2004) 506–518 www.elsevier.com/locate/jmaa
An integrable SIS model MC Nucci ∗ and PGL Leach1 Dipartimento di Matematica e …
An integrable SIS model MC Nucci ∗ and PGL Leach1 Dipartimento di Matematica e …
Nonlocal symmetries, telescopic vector fields and λ-symmetries of ordinary differential equations
C Muriel, JL Romero - SIGMA. Symmetry, Integrability and Geometry …, 2012 - emis.de
This paper studies relationships between the order reductions of ordinary differential
equations derived by the existence of λ-symmetries, telescopic vector fields and some …
equations derived by the existence of λ-symmetries, telescopic vector fields and some …
On the determination of non-local symmetries
KS Govinder, PGL Leach - Journal of Physics A: Mathematical …, 1995 - iopscience.iop.org
The importance of non-local symmetries of differential equations lies in their manifestation
as Lie point symmetries of the equations resulting from reduction of order. The reason for the …
as Lie point symmetries of the equations resulting from reduction of order. The reason for the …
C∞‐symmetries and non‐solvable symmetry algebras
C Muriel, JL Romero - IMA Journal of Applied mathematics, 2001 - ieeexplore.ieee.org
If an ordinary differential equation admits the non‐solvable Lie algebra sl (2, R) as symmetry
algebra then, when the classical Lie method of reduction is applied, at least one of its …
algebra then, when the classical Lie method of reduction is applied, at least one of its …
Symmetries of homogeneous cosmologies
S Cotsakis, P Leach, H Pantazi - arXiv preprint gr-qc/0011017, 2000 - arxiv.org
We reformulate the dynamics of homogeneous cosmologies with a scalar field matter source
with an arbitrary self-interaction potential in the language of jet bundles and extensions of …
with an arbitrary self-interaction potential in the language of jet bundles and extensions of …
-Symmetries and integrability by quadratures
It is investigated how two (standard or generalized)-symmetries of a given second-order
ordinary differential equation can be used to solve the equation by quadratures. The method …
ordinary differential equation can be used to solve the equation by quadratures. The method …