41 citations · 63 across the 4 of their papers we have counts for
4 papers
Solitary waves in the Nonlinear Dirac Equation
J. Cuevas-Maraver, N. Boussaïd, A. Comech +3
In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacti…
Stability of new exact solutions of the nonlinear Schrodinger equation in a Poschl-Teller external potential
John F. Dawson, Fred Cooper, Avinash Khare +5
We discuss the stability properties of the solutions of the general nonlinear \Schrodinger\ equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time…
Stability of solitary waves and vortices in a 2D nonlinear Dirac model
J. Cuevas-Maraver, P. G. Kevrekidis, A. Saxena +2
We explore a prototypical two-dimensional model of the nonlinear Dirac type and examine its solitary wave and vortex solutions. In addition to identifying the stationary states, we…
Time analyticity with higher norm estimates for the 2D Navier-Stokes equations
Ciprian Foias, Michael S. Jolly, Ruomeng Lan +3
This paper establishes bounds on norms of all orders for solutions on the global attractor of the 2D Navier-Stokes equations, complexified in time. Specifically, for periodic bound…