55 citations · 486 across the 49 of their papers we have counts for
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More on superintegrable models on spaces of constant curvature
Cezary Gonera, Joanna Gonera, Javier de Lucas +2
A known general class of superintegrable systems on 2D spaces of constant curvature can be defined by potentials separating in (geodesic) polar coordinates. The radial parts of the…
Contact Lie systems
Javier de Lucas, Xavier Rivas
We define and analyse the properties of contact Lie systems, namely systems of first-order differential equations describing the integral curves of a -dependent vector field tak…
Quantum quasi-Lie systems: properties and applications
J. F. Cariñena, J. de Lucas, C. Sardón
A Lie system is a non-autonomous system of ordinary differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional Lie…
Geometric numerical methods for Lie systems and their application in optimal control
L. Blanco, F. Jiménez, J. de Lucas +1
A Lie system is a non-autonomous system of first-order ordinary differential equations whose general solution can be written via an autonomous function, a so-called (nonlinear) sup…
Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems
A. M. Grundland, J. de Lucas
The objective of this paper is to construct geometrically Riemann -wave solutions of the general form of first-order quasilinear hyperbolic systems of partial differential equat…