39 citations · 104 across the 20 of their papers we have counts for
21 papers
Generalized PT-symmetric nonlinear Dirac equation: exact solitary waves solutions, stability and conservation laws
Fernando Carreño-Navas, Siannah Peñaranda, Renato Alvarez-Nodarse +1
We derive an exact solitary wave solution for the $\PTb$-symmetric nonlinear Dirac equation with a scalar-scalar interaction. We consider a power-law nonlinearity of the form $|\ba…
Oscillatory instability and stability of stationary solutions in the parametrically driven, damped nonlinear Schrödinger equation
F. Carreño-Navas, R. Alvarez-Nodarse, N. R. Quintero
We found two stationary solutions of the parametrically driven, damped nonlinear Schrödinger equation with nonlinear term proportional to for positive value…
The Schrödinger equation for the Rosen-Morse type potential revisited with applications
Guillermo Gordillo-Núñez, Renato Alvarez-Nodarse, Niurka R. Quintero
We rigorously solve the time-independent Schrödinger equation for the Rosen-Morse type potential. By using the Nikiforov-Uvarov method, we obtain, in a systematic way, the complete…
Stability of solitary waves in nonlinear Klein-Gordon equations
Pablo Rabán, Renato Alvarez-Nodarse, Niurka R. Quintero
The stability of topological solitary waves and pulses in one-dimensional nonlinear Klein-Gordon systems is revisited. The linearized equation describing small deviations around th…
The -analogue of the Quantum Theory of Angular Momentum: a review from special functions
Renato Álvarez-Nodarse, Alberto Arenas-Gómez
In the present paper we review the -analogue of the Quantum Theory of Angular Momentum based on the -algebra , with a special emphasis on the representation of the C…
On discrete coherent pairs of measures
R. Álvarez-Nodarse, K. Castillo, D. Mbouna +1
In [Castillo \& Mbouna, Indag. Math. {\bf 31} (2020) 223-234], the concept of -coherent pairs of order with index is introduced. This definition, implicitly relate…