55 citations · 486 across the 49 of their papers we have counts for
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A new application of k-symplectic Lie systems
J. de Lucas, M. Tobolski, S. Vilariño
The -symplectic structures appear in the geometric study of the partial differential equations of classical field theories. Meanwhile, we present a new application of the -sy…
Jacobi-Lie systems: Fundamentals and low-dimensional classification
F. J. Herranz, J. de Lucas, C. Sardon
A Lie system is a system of differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional real Lie algebra of vector f…
Lie-Hamilton systems on the plane: Applications and superposition rules
A. Blasco, F. J. Herranz, J. de Lucas +1
A Lie-Hamilton system is a nonautonomous system of first-order ordinary differential equations describing the integral curves of a -dependent vector field taking values in a fin…
Lie symmetries for Lie systems: applications to systems of ODEs and PDEs
P. G. Estévez, F. J. Herranz, J. de Lucas +1
A {\it Lie system} is a nonautonomous system of first-order differential equations admitting a {\it superposition rule}, i.e., a map expressing its general solution in terms of a g…
k-symplectic Lie systems: theory and applications
J. de Lucas, S. Vilariño
A Lie system is a system of first-order ordinary differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional real Li…