329 citations · 5.2k across the 203 of their papers we have counts for
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Nonlinear Dirac equation solitary waves under a spinor force with different components
Franz G. Mertens, Fred Cooper, Sihong Shao +3
We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar self-interaction in the presence of external forces as well as damping of the form $γ^0 f(x,t) -…
Helicoidal Graphene Nanoribbons: Chiraltronics
Victor Atanasov, Avadh Saxena
We present a calculation of the effective geometry-induced quantum potential for the carriers in graphene shaped as a helicoidal nanoribbon. In this geometry the twist of the nanor…
Peakompactons: Peaked compact nonlinear waves
Ivan C. Christov, Tyler Kress, Avadh Saxena
This article is meant as an accessible introduction to/tutorial on the analytical construction and numerical simulation of a class of non-standard solitary waves termed \emph{peako…
-symmetric slowing-down of decoherence
Bartłomiej Gardas, Sebastian Deffner, Avadh Saxena
We investigate -symmetric quantum systems ultra-weakly coupled to an environment. We find that such open systems evolve under -symme…
Variational Approach to studying solitary waves in the nonlinear Schrodinger equation with Complex Potentials
Franz G. Mertens, Fred Cooper, Edward Arevalo +3
We discuss the behavior of solitary wave solutions of the nonlinear Schr{ö}dinger equation (NLSE) as they interact with complex potentials, using a four parameter variational appro…
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
We discuss the stability properties of the solutions of the general nonlinear Schroedinger equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time (…