We study existence of solutions for the fractional problem $({P} _ {m})\quad\left\{\begin
{aligned}{(-{\Delta})}^{s} u+\mu u= g (u) &\quad\text {in}\enspace {\mathbb {R}}^{N},\\{\int} …

We present the generation, stability analysis, and energy optimization of diffraction managed
accessible breather solitons in highly nonlocal nonlinear media comprising an array of …

In this thesis we investigate how the nonlocalities affect the study of different PDEs coming
from physics, and we analyze these equations under almost optimal assumptions of the …

Goal of this paper is to study the following singularly perturbed nonlinear Schrödinger
equation ε^ 2s (-Δ)^ s v+ V (x) v= f (v),\quad x ∈ R^ N, where s∈(0,1), N≧2, V∈C(R^N,R) is …

We study the modulation instability (MI) for optical wave propagation in the presence of
slowly varying saturable nonlinearity, group velocity dispersion and a PT-symmetric external …

We consider a nonlocal and nonlinear minimization problem, with a parameter, related to
the dispersion managed nonlinear Schrödinger equation having a positive average …

As the optical transmission system is developing in the direction of ultra-high speed and
ultra-long distance, the dispersion and nonlinearity of optical fibers has an increasing …

This article discusses the dynamics of optical beam propagation through diffraction
managed highly nonlocal nonlinear media. The dynamical system has been modeled by …

A nonlinear Schrödinger equation (NLS) with dispersion averaged nonlinearity of saturated
type is considered. Such a nonlocal NLS is of integro-differential type and it arises naturally …

We present stable dispersion-managed soliton (DMS) molecules in a passively mode-
locked Yb-doped polarization-maintaining fiber laser based on chirped fiber Bragg grating in …