In this article, we examine the unstable non-linear Shrödinger (NLS) dynamical models
analytically by utilizing the tow variabke (G′/G)-expansion approach. The unstable NLS …

We demonstrate W-shaped solitons sustained under the inhomogeneous self-defocusing
Kerr nonlinearity in the nonlinear Schrӧdinger equation. These solitons are dark or gray …

We investigate the propagation of self-similar optical solitons on a continuous-wave
background through a non-centrosymmetric waveguide with second-and third-order …

We demonstrate that, with the help of a Gaussian potential barrier, dark modes in the form of
a local depression (“bubbles”) can be supported by the repulsive Kerr nonlinearity in …

We study the dynamics of rogue wave excitations and quasi-transitions in one-dimensional
quantum droplets, whose homogeneous-density flat top provides an applicable background …

We investigate the existence and propagation properties of envelope solitons of an
extended nonlinear Schr ödinger equation with the time-modulated dispersion, quadratic …

We have constructed analytical self-similar wave solutions for quadratic–cubic Nonlinear
Schrödinger equation (QC-NLSE) by means of similarity transformation method. Then, we …

Using analytical methods we investigate the formation of quantum droplets in symmetric
Bose-Bose mixture confined in temporally mutable parabolic traps. The dynamics of the …

The extended G′/G-expansion scheme retrieves bright, dark and singular optical soliton
pairs for birefringent fibers that maintains quadratic–cubic nonlinearity. In addition …

This paper employes the new ϕ 6–model expansion to derive soliton solutions in
birefringent fibers with quadratic-cubic law of refractive index. This scheme reveals bright …