Competing nonlinearities, such as the cubic (Kerr) and quintic nonlinear terms whose
strengths are of opposite signs (the coefficients in front of the nonlinearities), exist in various …

The existence, stability and propagation of spatial solitons in double-well potentials with
cubic nonlinearity are investigated. The symmetric, tripole and quadrupole solitons show …

We derive an extended cubic-quintic nonlinear Schrödinger equation with Hamiltonian
structure in a nonlinear Klein-Gordon model with cubic-quintic nonlinearity. We use the …

We study the one-dimensional nonlinear Schrödinger equation with the cubic–quintic
combination of attractive and repulsive nonlinearities, and a trap** potential represented …

We predict hyper-entanglement generation by binary scattering of mesoscopic bound states,
considering solitary waves in Bose–Einstein condensates containing thousands of identical …

We investigate the existence and stability of two dimensional nonlinear localized modes in
parity-time symmetric optical media with self-focusing/self-defocusing cubic and quintic …

In this article, we show that if the nonlinear Schrödinger (NLS) equation is generalized by
simultaneously taking into account higher-order dispersion, a quintic nonlinearity, and self …

The existence and stability properties of optical solitons in competing cubic-quintic
nonlinearity, third order dispersion and parity-time symmetric potentials are investigated …

In this paper, we discover several new soliton families in the PT symmetric optical lattices
with the nonlocal competing cubic–quintic nonlinearity, and investigate their existence and …

We investigate the properties of two-dimensional (2D) fundamental and vortex solitons
propagating in PT symmetric lattices with the competing cubic-quintic nonlinearity. We …