One of the challenges of the modern photonics is to develop all‐optical devices enabling
increased speed and energy efficiency for transmitting and processing information on an …

The exploration of quantum‐inspired symmetries in optical and photonic systems has
witnessed immense research interest both fundamentally and technologically in a wide …

It is shown that the nonlocal nonlinear Schrödinger equation recently proposed by Ablowitz
and Musslimani [Phys. Rev. Lett. 110, 064105 (2013) PRLTAO 0031-9007 …

We explore a prototypical two-dimensional massive model of the nonlinear Dirac type and
examine its solitary wave and vortex solutions. In addition to identifying the stationary states …

We study dynamics of Dirac solitons in prototypical networks modeling them by the
nonlinear Dirac equation on metric graphs. Stationary soliton solutions of the nonlinear …

Classical Hamiltonian systems with balanced loss and gain are considered in this review. A
generic Hamiltonian formulation for systems with space-dependent balanced loss and gain …

We consider PT-symmetric quantum graphs, in which the branching points provide PT-
symmetric boundary conditions for the Schrödinger equation on a graph. For such branched …

Although the spinor field in (1+ 1) dimensions has the right structure to model a dispersive
bimodal system with gain and loss, the plain addition of gain to one component of the field …

In the present work, we consider the existence, stability, and dynamics of solitary waves in
the nonlinear Dirac equation. We start by introducing the Soler model of self-interacting …

We investigate the effects on solitons dynamics of introducing a PΤ-symmetric complex
potential in a specific family of the cubic Dirac equation in (1+ 1)-dimensions, called the ABS …