329 citations · 5.2k across the 203 of their papers we have counts for
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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…
Reply to the Comment by Zhang and Li [J. Math. Phys. 56, 084101, 2015] on the Paper [J. Math. Phys. {\bf 56}, 032104, 2015]}
Avinash Khare, Avadh Saxena
In a recent paper Zhang and Li have doubted our claim that whenever a nonlinear equation has solutions in terms of the Jacobi elliptic functions $\cn(x,m)$ and $\dn(x,m)$, then the…
Solitary waves of a PT-symmetric Nonlinear Dirac equation
Jesús Cuevas--Maraver, Panayotis G. Kevrekidis, Avadh Saxena +4
In the present work, we consider a prototypical example of a PT-symmetric Dirac model. We discuss the underlying linear limit of the model and identify the threshold of the PT-phas…
PT Meets Supersymmetry and Nonlinearity: An Analytically Tractable Case Example
P. G. Kevrekidis, J. Cuevas-Maraver, A. Saxena +2
In the present work, we combine the notion of -symmetry with that of super-symmetry (SUSY) for a prototypical case example with a complex potential that is related by…
Nonlinear Dirac equation solitary waves in the presence of external driving forces
Franz G. Mertens, Fred Cooper, Niurka R. Quintero +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 $ f(x,t) - i μ…