2 citations · 3 across the 2 of their papers we have counts for
3 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…
Stability of parametrically driven, damped nonlinear Dirac solitons
Bernardo Sánchez-Rey, David Mellado-Alcedo, Niurka R. Quintero
The linear stability of two exact stationary solutions of the parametrically driven, damped nonlinear Dirac equation is investigated. Stability is ascertained through the resolutio…
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…