Dispersion management and cascade compression of femtosecond nonautonomous soliton in birefringent fiber

Nonlinear tunneling of solitons in a variable coefficients nonlinear Schrödinger equation with $\mathcal{PT}$-symmetric Rosen-Morse potential

“…In optical communication systems, tunneling of solitons through the barrier/well plays a very significant role [39]. Motivated by this, we also investigate this special case by considering a nonlinear barrier or nonlinear well with an exponential background by choosing β (z) and R(z) in the form [40] (11) with r is the decaying or increasing the parameter.…”

“…To investigate the impact of tunneling behaviour of the obtained optical solitons, we consider the following dispersion barrier/well [39,40], that is…”

Ultrashort dark solitons interactions and nonlinear tunneling in the modified nonlinear Schrödinger equation with variable coefficient

“…Now, we intent to investigate one of the dramatic nonlinear effects, known as the nonlinear tunneling (NL). Recently, many leading research works have been devoted to investigate the tunneling of solitons in different physical systems [49][50][51][53][54][55][56][57][58][59][60][61]. All pioneering works have shown that the soliton can pass through the barrier without loss under a special conditions, which depends on the ratio between the height of the barrier and the amplitude of the soliton.…”

Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation

“…The concept of the nonlinear tunneling effect comes from the wave equations steming from the nonlinear dispersion relation, which has shown that the soliton can pass lossless through the barrier/well under special conditions which depend on the ratio between the amplitude of the soliton and the height of the barrier/well [22][23][24][25]. In this paper, we will apply such concept to Eq.…”