11 citations · 23 across the 7 of their papers we have counts for
7 papers
Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations
Rafael Hernández Heredero, Marianna Euler, Norbert Euler +1
We study integrability --in the sense of admitting recursion operators-- of two nonlinear equations which are known to possess compacton solutions: the equation introduced…
Formal recursion operators of integrable nonevolutionary equations and Lagrangian systems
Agustín Caparrós Quintero, Rafael Hernández Heredero
We derive the general structure of the space of formal recursion operators of nonevolutionary equations~. This allows us to cl…
A discrete linearizability test based on multiscale analysis
R. Hernandez Heredero, D. Levi, C. Scimiterna
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic s…
Multiscale expansion on the lattice and integrability of partial difference equations
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera +1
We conjecture an integrability and linearizability test for dispersive Z^2-lattice equations by using a discrete multiscale analysis. The lowest order secularity conditions from th…
On the relation between the complex Toda and Volterra lattices
Dolores Barrios Rolanía, Rafael Hernández Heredero
We give an analytic, sufficient condition for the existence of the Backlund transformation between the semiinfinite Toda and Volterra lattices, in the complex case, extending previ…
A new class of linearizable equations
R. Hernandez Heredero, A. Shabat, V. Sokolov
Using the symmetry approach, we find a class of integrable nonlinear PDEs with dispersion law . All these equations turn out to be linearizable by means of a diff…