55 citations · 486 across the 49 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2022★ 3 cited
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…
math.AP2017★ 5 cited
Quasi-Lie schemes for PDEs
Jose F. Carinena, Janusz Grabowski, Javier de Lucas
The theory of quasi-Lie systems, i.e. systems of first order ordinary differential equations which can be related via a generalised flow to Lie systems, is extended to systems of p…
math.AP2017★ 2 cited
A cohomological approach to immersed submanifolds via integrable systems
A. Michel Grundland, Javier de Lucas
A geometric approach to immersion formulas for soliton surfaces is provided through new cohomologies on spaces of special types of -valued differential forms. This le…