41 citations · 179 across the 30 of their papers we have counts for
4 papers · 2 filters
On spectral stability of the nonlinear Dirac equation
Nabile Boussaid, Andrew Comech
We study the point spectrum of the nonlinear Dirac equation in any spatial dimension, linearized at one of the solitary wave solutions. We prove that, in any dimension, the lineari…
On linear instability of solitary waves for the nonlinear Dirac equation
Andrew Comech, Meijiao Guan, Stephen Gustafson
We consider the nonlinear Dirac equation, also known as the Soler model: $i\p\sb tψ=-iα\cdot \nabla ψ+m βψ-f(ψ\sp\ast βψ) βψ$, , , $n\le…
Linear instability of nonlinear Dirac equation in 1D with higher order nonlinearity
Andrew Comech
We consider the nonlinear Dirac equation in one dimension, also known as the Soler model in (1+1) dimensions, or the massive Gross-Neveu model: $i\partial_tψ=-iα\partial_xψ+mβψ-f(ψ…
Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator
Andrew Comech
We consider the U(1)-invariant nonlinear Klein-Gordon equation in discrete space and discrete time, which is the discretization of the nonlinear continuous Klein-Gordon equation. T…