51 citations · 156 across the 7 of their papers we have counts for
7 papers
Integrability meets the charged relativistic particle
Francisco Correa, Justo López-Sarrión
We notice an analogy between the motion of a relativistic particle with external homogeneous and time-dependent electromagnetic fields and the Dik'ii-Eilenberger equation for the B…
Stability in integrable nonlocal nonlinear equations
Julia Cen, Francisco Correa, Andreas Fring +1
Recently a variety of nonlocal integrable systems has been introduced that besides fields located at particlar space-time points simultaneously also contain fields that are located…
Confluent Crum-Darboux transformations in Dirac Hamiltonians with -symmetric Bragg gratings
Francisco Correa, Vit Jakubsky
We consider optical systems where propagation of light can be described by a Dirac-like equation with -symmetric Hamiltonian. In order to construct exactly solvable configurati…
Soliton defects in one-gap periodic system and exotic supersymmetry
Adrian Arancibia, Francisco Correa, Vit Jakubsky +2
By applying Darboux-Crum transformations to the quantum one-gap Lame system, we introduce an arbitrary countable number of bound states into forbidden bands. The perturbed potentia…
Exact multi-soliton solutions in the four dimensional Skyrme model
Fabrizio Canfora, Francisco Correa, Jorge Zanelli
Exact analytic solutions of the Skyrme model defined on a spherically symmetric geometry, chosen to mimic finite volume effects, are presented. The static an…
Twisted kinks, Dirac transparent systems and Darboux transformations
Francisco Correa, Vit Jakubsky
Darboux transformations are employed in construction and analysis of Dirac Hamiltonians with pseudoscalar potentials. By this method, we build a four parameter class of reflectionl…