33 citations · 83 across the 5 of their papers we have counts for
4 papers · 1 filter
Unified approach to Floquet lattices, topological insulators, and their nonlinear dynamics
Mark Ablowitz, Justin T. Cole, Sean Nixon
A unified method to analyze the dynamics and topological structure associated with a class of Floquet topological insulators is presented. The method is applied to a system that de…
Stability of soliton families in nonlinear Schroedinger equations with non-parity-time-symmetric complex potentials
Jianke Yang, Sean Nixon
Stability of soliton families in one-dimensional nonlinear Schroedinger equations with non-parity-time (PT)-symmetric complex potentials is investigated numerically. It is shown th…
Bifurcation of soliton families from linear modes in non-PT-symmetric complex potentials
Sean Nixon, Jianke Yang
Continuous families of solitons in generalized nonlinear Schödinger equations with non-PT-symmetric complex potentials are studied analytically. Under a weak assumption, it is show…
Nonlinear wave dynamics near phase transition in -symmetric localized potentials
Sean Nixon, Jianke Yang
Nonlinear wave propagation in parity-time () symmetric localized potentials is investigated analytically near a phase-transition point where a pair of real eigenvalue…