C. Muriel

activity

20122023

most citedNonlocal Symmetries, Telescopic Vector Fields and

λ

-Symmetries of Ordinary Differential Equations

20 citations · 50 across the 6 of their papers we have counts for

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3 papers · 1 filter

nlin.SI2023★ 4 cited

Integration of differential equations by $C^{\infty}$ -structures

A. J. Pan-Collantes, C. Muriel, A. Ruiz

Several integrability problems of differential equations are addressed by using the concept of $C^{\infty}$ -structure, a recent generalization of the notion of solvable s…

nlin.SI2022★ 12 cited

$C^{\infty}$ -symmetries of distributions and integrability

A. J. Pan-Collantes, A. Ruiz, C. Muriel +1

An extension of the notion of solvable structure for involutive distributions of vector fields is introduced. The new structures are based on a generalization of the concept of sym…

nlin.SI2021★ 3 cited

Generalized symmetries, first integrals, and exact solutions of chains of differential equations

C. Muriel, M. C. Nucci

New integrability properties of a family of sequences of ordinary differential equations, which contains the Riccati and Abel chains as the most simple sequences, are studied. The…

Integration of differential equations by C∞-structures

C∞-symmetries of distributions and integrability

Generalized symmetries, first integrals, and exact solutions of chains of differential equations

Integration of differential equations by $C^{\infty}$ -structures

$C^{\infty}$ -symmetries of distributions and integrability