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Partially-PT-symmetric optical potentials with all-real spectra and soliton families in multi-dimensions
Jianke Yang
Multi-dimensional complex optical potentials with partial parity-time (PT) symmetry are proposed. The usual PT symmetry requires that the potential is invariant under complex conju…
Necessity of PT symmetry for soliton families in one-dimensional complex potentials
Jianke Yang
For the one-dimensional nonlinear Schroedinger equation with a complex potential, it is shown that if this potential is not parity-time (PT) symmetric, then no continuous families…
Can parity-time-symmetric potentials support continuous families of non-parity-time-symmetric solitons?
Jianke Yang
For the one-dimensional nonlinear Schroedinger equations with parity-time (PT) symmetric potentials, it is shown that when a real symmetric potential is perturbed by weak PT-symmet…
Exponential asymptotics for line solitons in two-dimensional periodic potentials
Sean Nixon, T. R. Akylas, Jianke Yang
As a first step toward a fully two-dimensional asymptotic theory for the bifurcation of solitons from infinitesimal continuous waves, an analytical theory is presented for line sol…
Pyramid diffraction in parity-time-symmetric optical lattices
Sean Nixon, Jianke Yang
Nonlinear dynamics of wave packets in two-dimensional parity-time-symmetric optical lattices near the phase-transition point are analytically studied. A novel fourth-order equation…