papers
Publications (22)
nlin.PS2016
Stability of exact solutions of the nonlinear Schroedinger equation in an external potential having supersymmetry and parity-time symmetry
Fred Cooper, Avinash Khare, Andrew Comech +3
math.AP2009
Stability of solitary manifold near critical solitary wave
Andrew Comech, Scipio Cuccagna
math.AP2006
Optimal regularity of Fourier integral operators with one-sided folds
Andrew Comech
math-ph2016
Symmetry and Dirac points in graphene spectrum
Gregory Berkolaiko, Andrew Comech
math.AP2011
On the meaning of the Vakhitov-Kolokolov stability criterion for the nonlinear Dirac equation
Andrew Comech
math.AP2019
Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity
Nabile Boussaid, Andrew Comech
nlin.PS2015
Solitary waves of a PT-symmetric Nonlinear Dirac equation
Jesús Cuevas--Maraver, Panayotis G. Kevrekidis, Avadh Saxena +4
math.AP2013
On linear instability of solitary waves for the nonlinear Dirac equation
Andrew Comech, Meijiao Guan, Stephen Gustafson
nlin.PS2017
Stability of new exact solutions of the nonlinear Schrodinger equation in a Poschl-Teller external potential
John F. Dawson, Fred Cooper, Avinash Khare +5
math.AP2019
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations
Andrew Comech, Scipio Cuccagna
math.AP2014
Asymptotic stability of solitary waves in generalized Gross--Neveu model
Andrew Comech, Tuoc Van Phan, Atanas Stefanov
math-ph2012
On spectral stability of solitary waves of nonlinear Dirac equation on a line
Gregory Berkolaiko, Andrew Comech
math.AP2016
On spectral stability of the nonlinear Dirac equation
Nabile Boussaid, Andrew Comech
math.AP2017
Nonrelativistic asymptotics of solitary waves in the Dirac equation with the Soler-type nonlinearity
Nabile Boussaid, Andrew Comech
math.AP2006
Nonlinear instability of a critical traveling wave in the generalized Korteweg -- de Vries equation
Andrew Comech, Scipio Cuccagna, Dmitry Pelinovsky
math.AP2006
$L\sp p$-$L\sp q$ regularity of Fourier integral operators with caustics
Andrew Comech
math-ph2014
Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields
Gregory Berkolaiko, Andrew Comech, Alim Sukhtayev
math.AP2012
Linear instability of nonlinear Dirac equation in 1D with higher order nonlinearity
Andrew Comech
math.FA2013
On the Titchmarsh convolution theorem for distributions on the circle
Andrew Comech, Alexander Komech
math-ph2018
Spectral stability of bi-frequency solitary waves in Soler and Dirac--Klein--Gordon models
Nabile Boussaid, Andrew Comech
math.AP2006
Damping estimates for oscillatory integral operators with finite type singularities
Andrew Comech
math-ph2017
Small amplitude solitary waves in the Dirac-Maxwell system
Andrew Comech, David Stuart