75 citations · 403 across the 43 of their papers we have counts for
43 papers
New soliton solutions for Chen-Lee-Liu and Burgers hierarchies and its Bäcklund transformations
Y. F. Adans, H. Aratyn, C. P. Constantinidis +3
Positive and negative flows of the Chen-Lee-Liu model and its various reductions, including Burgers hierarchy, are formulated within the framework of Riemann-Hilbert-Birkhoff decom…
Generalized Riemann-Hilbert-Birkhoff Decomposition and a New Class of Higher Grading Integrable Hierarchies
H. Aratyn, C. P. Constantinidis, J. F. Gomes +2
We propose a generalized Riemann-Hilbert-Birkhoff decomposition that expands the standard integrable hierarchy formalism in two fundamental ways: it allows for integer powers of La…
Some novel considerations about the collective coordinates approximation for the scattering of kinks
Carlos F. S. Pereira, Gabriel Luchini, Tadeu Tassis +1
The collective coordinates approximation for the kink/anti-kink scattering in the dimensional model is considered and we discuss how the results found in the current li…
Real scalar field kink(-antikink)s and their perturbation spectra in a closed universe
Betti Hartmann, Gabriel Luchini, Clisthenis P. Constantinidis +1
In this paper we demonstrate that solitons of a simple real scalar field model that are {\it static and linearly stable} do exist when considered in a (3+1)-dimensional, spatially…
A direct test of the integral Yang-Mills equations through SU(2) monopoles
C. P. Constantinidis, L. A. Ferreira, G. Luchini
We use the SU(2) 't Hooft-Polyakov monopole configuration, and its BPS version, to test the integral equations of the Yang-Mills theory. Those integral equations involve two (compl…
A mild source for the Wu-Yang magnetic monopole
C. P. Constantinidis, L. A. Ferreira, G. Luchini
We establish that the Wu-Yang monopole needs the introduction of a magnetic point source at the origin in order for it to be a solution of the differential and integral equations f…