33 citations · 83 across the 5 of their papers we have counts for
8 papers
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…
Nonlinear light behaviors near phase transition in non-parity-time-symmetric complex waveguides
Sean Nixon, Jianke Yang
Many classes of non-parity-time (PT) symmetric waveguides with arbitrary gain and loss distributions still possess all-real linear spectrum or exhibit phase transition. In this art…
All-real spectra in optical systems with arbitrary gain and loss distributions
Sean Nixon, Jianke Yang
A method for constructing optical potentials with an arbitrary distribution of gain and loss and completely real spectrum is presented. For each arbitrary distribution of gain and…
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…