C. Muriel

发表

On the integrability of GL(2,ℝ)‐invariant fourth‐order ordinary differential equations

A. Ruiz, C. Muriel, 2021 .

First Integrals of Differential Operators from SL(2,ℝ) Symmetries

P. Morando, A. Ruiz, C. Muriel, 2020, Mathematics.

First integrals and parametric solutions of third-order ODEs admitting $ {\mathfrak{sl}(2, \mathbb{R})} $

A. Ruiz, C. Muriel, 2017 .

First integrals, integrating factors and λ-symmetries of second-order differential equations

J. L. Romero, C. Muriel, 2009 .

Traveling-Wave Solutions of the Schwarz–Korteweg–de Vries Equation in 2+1 Dimensions and the Ablowitz–Kaup–Newell–Segur Equation Through Symmetry Reductions

Maria Luz Gandarias, C. Muriel, Maria S. Bruzon, 2003 .

The Schwarzian Korteweg–de Vries equation in (2 + 1) dimensions

M. Bruzón, M. Gandarias, C. Muriel, 2003 .

New optical solitons of Kundu-Eckhaus equation via λ-symmetry

J. Mendoza, C. Muriel, J. Ramírez, 2020 .

On the commutator of C∞-symmetries and the reduction of Euler–Lagrange equations

P. Olver, A. Ruiz, C. Muriel, 2018 .

New methods of reduction for ordinary differential equations

C. Muriel, J. L. Romero, C. Muriel, 2001 .

C 1 Symmetries and Reduction of Equations Without Lie Point Symmetries

J. L. Romero, C. Muriel, 2003 .

On first integrals of second-order ordinary differential equations

J. L. Romero, A. Choudhury, P. Guha, 2013, Journal of Engineering Mathematics.

On first integrals of second-order ordinary differential equations

J. L. Romero, A. Choudhury, P. Guha, 2013 .

SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH FIRST INTEGRALS OF THE FORM C(t) + 1/(A(t, x)ẋ + B(t, x))

J. L. Romero, C. Muriel, 2011 .

Nonlocal transformations and linearization of second-order ordinary differential equations

J. L. Romero, C. Muriel, 2010 .

Symmetries and linearization of ordinary differential equations through nonlocal transformations ?

J. L. Romero, C. Muriel, 2010 .

SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS AND FIRST INTEGRALS OF THE FORM A(t, x)ẋ + B(t, x)

J. L. Romero, C. Muriel, 2009 .

New Symmetry Reductions for some Ordinary Differential Equations

M. Gandarias, E. Medina, C. Muriel, 2002 .

λ-symmetries of some chains of ordinary differential equations

J. L. Romero, C. Muriel, 2014 .

Reductions of PDEs to first order ODEs, symmetries and symbolic computation

J. Ramírez, J. L. Romero, C. Muriel, 2015, Commun. Nonlinear Sci. Numer. Simul..

Systems of Vector Fields for the Integration of Ordinary Differential Equations

A. Ruiz, C. Muriel, 2020 .

Generalized Solvable Structures and First Integrals for ODEs Admitting an Symmetry Algebra

P. Morando, A. Ruiz, C. Muriel, 2019, Journal of Nonlinear Mathematical Physics.

Two new reductions methods for polynomial differential equations and applications to nonlinear PDEs

J. L. Romero, José Ramírez, C. Muriel, 2018, J. Comput. Appl. Math..

Construction of Solvable Structures from $\mathfrak {so}(3,\mathbb {C})$

A. Ruiz, C. Muriel, 2018 .

Applications of $\mathcal{C}^{\infty }$-Symmetries in the Construction of Solvable Structures

A. Ruiz, C. Muriel, 2016 .

Nonlocal Symmetries, Telescopic Vector Fields and λ-Symmetries of Ordinary Differential Equations

J. L. Romero, C. Muriel, 2012, 1212.6475.

A λ-symmetry-based method for the linearization and determination of first integrals of a family of second-order ordinary differential equations

J. L. Romero, C. Muriel, 2011 .

Variational C∞-symmetries and Euler–Lagrange equations

Peter J. Olver, C. Muriel, J. L. Romero, 2006 .

Integrability of Equations Admitting the Nonsolvable Symmetry Algebra so(3,R)

J. L. Romero, C. Muriel, 2002 .

On the integrability of Liénard I-type equations via λ-symmetries and solvable structures

A. Ruiz, C. Muriel, A. Ruiz, 2018, Appl. Math. Comput..

λ-SYMMETRIES on the Derivation of First Integrals of Ordinary Differential Equations

J. L. Romero, C. Muriel, 2010 .

Integrating Factors and λ–Symmetries

J. L. Romero, C. Muriel, 2008 .

The λ-symmetry reduction method and Jacobi last multipliers

C. Muriel, J. L. Romero, C. Muriel, 2014, Commun. Nonlinear Sci. Numer. Simul..

A Maple procedure based on λ-symmetries for second-order ordinary differential equations

J. L. Romero, J. J. Alonso, C. Muriel, 2014, Appl. Math. Comput..

Symbolic Computation Algorithms for Second-Order ODEs by Using Two λ-Symmetries

J. Vidal, C. Muriel, J. Mendoza, 2020 .

Conserved Forms of Second Order-Ordinary Differential Equations

J. L. Romero, C. Muriel, 2011 .

Conserved Forms derived from Symmetries

J. L. Romero, C. Muriel, 2008 .

Evolution of the concept of λ–symmetry and main applications

J. L. Romero, C. Muriel, 2019 .

Integration methods for equations without enough Lie point symmetries

J. L. Romero, A. Ruiz, C. Muriel, 2019, MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019).

The Calogero–Bogoyavlenskii–Schiff Equation in 2+1 Dimensions

Maria Luz Gandarias, C. Muriel, Maria S. Bruzon, 2003 .

$\lambda-$Symmetries and integrability by quadratures

J. L. Romero, A. Ruiz, C. Muriel, 2016, 1605.07814.

New exact solutions for a generalised Burgers-Fisher equation

C. Muriel, J. Mendoza, 2021, Chaos, Solitons & Fractals.