Lie's reduction method and differential Galois theory in the complex analytic context

Author:

Blázquez-Sanz David, ,J. Morales-Ruiz Juan,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference62 articles.

1. Solvable structures and hidden symmetries,;C. Athorne;J. Phys. A,1995

2. Symmetries of linear ordinary differential equations,;C. Athorne;J. Phys. A,1997

3. On the Lie symmetry algebra of general ordinary differential equation,;C. Athorne;J. Phys. A,1998

4. Differential Galois theory of algebraic Lie-Vessiot systems, in "Differential Algebra, Complex Analysis and Orthogonal Polynomials,'' 1-58,;D. Blázquez-Sanz;Contemp. Math.,2010

5. Local and global aspects of Lie superposition theorem,;D. Blázquez-Sanz;J. Lie Theory,2010

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1. Computing the Lie algebra of the differential Galois group: The reducible case;Journal of Symbolic Computation;2022-09

2. Multisymplectic structures and invariant tensors for Lie systems;Journal of Physics A: Mathematical and Theoretical;2019-04-26

3. Liouville integrability: An effective Morales–Ramis–Simó theorem;Journal of Symbolic Computation;2016-05

4. Differential Galois Theory and Lie Symmetries;Symmetry, Integrability and Geometry: Methods and Applications;2015-11-20

5. A Quasi-Lie Schemes Approach to Second-Order Gambier Equations;Symmetry, Integrability and Geometry: Methods and Applications;2013-03-26

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