This is the published version, also available here: http://dx.doi.org/10.1063/1.4731477.We prove dispersive decay estimates for the one-dimensional Dirac operator and use them to prove asymptotic stability of small gap solitons in the nonlinear Dirac equations with quintic and higher-order nonlinear terms
We explore a prototypical two-dimensional model of the nonlinear Dirac type and examine its solitary...
In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the for...
Asymptotic stability of small bound states in one dimension is proved in the framework of a discrete...
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete non...
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and ...
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete non...
We consider the nonlinear Dirac equation in 1 + 1 dimension with scalar-scalar self interaction g2κ+...
We have corrected the hypotheses adding an extra symmetry to our class of solutions.We consider the ...
In this paper, we analyze the long-time dynamics of small solutions to the $1d$ cubic nonlinear Schr...
In the present work, we consider the existence, stability, and dynamics of solitary waves in the no...
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the l...
In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the form...
We study the spectral stability of solitary wave solutions to the nonlinear Dirac equation...
2siWe consider a nonlinear Schrodinger equation (NLS) with a very general nonlinear term and with a ...
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and ...
We explore a prototypical two-dimensional model of the nonlinear Dirac type and examine its solitary...
In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the for...
Asymptotic stability of small bound states in one dimension is proved in the framework of a discrete...
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete non...
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and ...
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete non...
We consider the nonlinear Dirac equation in 1 + 1 dimension with scalar-scalar self interaction g2κ+...
We have corrected the hypotheses adding an extra symmetry to our class of solutions.We consider the ...
In this paper, we analyze the long-time dynamics of small solutions to the $1d$ cubic nonlinear Schr...
In the present work, we consider the existence, stability, and dynamics of solitary waves in the no...
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the l...
In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the form...
We study the spectral stability of solitary wave solutions to the nonlinear Dirac equation...
2siWe consider a nonlinear Schrodinger equation (NLS) with a very general nonlinear term and with a ...
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and ...
We explore a prototypical two-dimensional model of the nonlinear Dirac type and examine its solitary...
In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the for...
Asymptotic stability of small bound states in one dimension is proved in the framework of a discrete...
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