Light bullets (LBs) are localized nonlinear waves propagating in high spatial dimensions. Finding stable LBs and realizing their control desirable due to the interesting physics potential applications. Here, we show that nonlocal generated a cold Rydberg atomic gas via balance among dispersion, diffraction, giant Kerr nonlinearity contributed by long-range Rydberg-Rydberg interaction can be act...

Abstract We study parabolic equation with the tempered fractional Laplacian and logarithmic nonlinearity by direct method of moving planes. first prove several important theorems, such as asymptotic maximum principle, narrow region principle strong for antisymmetric functions, which are critical factors in process Then, we further derive some properties radial solution to a unit ball. These con...

We develop a simple model for coupling the pseudo-Goldstone bosons of QCD Or's, K's, -q) to quark fields. This nonlocal model incorporates a momentum dependent dynamical quark mass ,~ (p) in a manner consistent with global chiral symmetry. Explicit current quark masses and gauge fields are also introduced. All low energy parameters of the chiral lagrangian are expressed in terms of ~(p). In par...

We study the propagation of one-dimentional optical beams in a weakly nonlocal medium exhibiting cubic-quintic nonlinearity. A nonlinear equation governing evolution beam intensity is derived thereby which allows us to examine whether traveling-waves exist such material. An efficient transformation applied obtain explicit solutions envelope model presence all material parameters. find that vari...

This thesis deals with the reconstruction of images where the measured data are corrupted by Poisson noise and a specific signal-dependent speckle noise, which occurs e.g. in medical ultrasound images. Since both noise types fundamentally differ from the frequently studied additive Gaussian noise in mathematical image processing, adapted variational models are required to handle these types of ...

In this paper, we study nonlocal dynamics of a nonlinear delay differential equation. This equation with different types nonlinearities appears in medical, physical, biological, and ecological applications. The type nonlinearity paper is generalization two important for applications nonlinearities: piecewise constant compactly supported functions. We asymptotics solutions under the condition th...