Traveling wave reduction of the resonant nonlinear Schrödinger equation with arbitrary
refractive index is considered. The system of equations for real and imaginary parts is …

This study checks the solitary wave solutions of the nonlinear Vakhnenko–Parkes (VP)
equation that was derived by Parkes in 1998 to describe the high-frequency waves' …

We investigate the self-similar propagation of one-dimensional optical waves through optical
fibers exhibiting self-steepening, dispersion, cubic–quintic nonlinearity and resonant. A …

Many mathematical models describe the optical solitons propagation through optical fibers
such as nonlinear Schrödinger's equation. In this work, we study the generalized derivative …

Single resonant nonlinear Schrodinger equation RNLSE has wide applications in sciences.
It describes the transient state between self-focusing and self-defocusing polarization. This …

In this study, we extend the resonant nonlinear Schrödinger equation with dual-power law
nonlinearity to the fractional case. Consequently, novel exact solutions are derived. The …

Based on numerical simulations of a boundary problem, we study various scenarios of
microwave soliton formation in the process of cyclotron resonance interaction of a short …

Although the exact treatment of the continuous Heisenberg spin is already known, the exact
solution of the deformed system is not found in the literature. In this paper, some traveling …

In this paper, several new optical soliton solutions of the time-fractional generalized
resonant nonlinear Schrödinger equation, relevant to pulse propagation in optical fibers, are …