We consider the mathematical model with arbitrary power of nonlinearity which is described
by the generalized Schrödinger equation. The Cauchy problem for this equation is not …

The propagation of optical solitons via nonlinear metamaterials with cubic-quintic
nonlinearity, detuning intermodal dispersion, self steepening effect, and nonlinear third and …

In this work, we study the optical soliton solutions of the generalized non-autonomous
nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov's method (NKM) …

The traveling wave reduction of the Schrödinger equation with anti-cubic nonlinearity for
describing of the optical solitons is studied. We find two first integrals of the system of …

In this article, we consider the twin-core couplers with Kudryashov's sextic power law of
refractive index and perturbation terms. The extended F-expansion method is implemented …

The present paper explores a high-order nonlinear Schrödinger equation in a non-Kerr law
media with the weak non-local nonlinearity describing solitons' propagation through …

In this paper, we focus on the investigation of optical solitons for ultrashort pulses modeled
by the generalized nonlinear Schrödinger equation (NLSE) of third order. The governing …

We consider traveling wave solutions of the generalized cubic-quantic Schrödinger equation
used for description of the propagation pulses in optical fibers. We show that the system of …

In this article, the extended F-expansion method is applied to obtain cubic-quartic optical
solitons for couplers in optical metamaterials with nonlinear perturbation terms and triple …

The mathematical model for description of pulse propagation in optical fiber for the
generalized anti-cubic nonlinearity with arbitrary refractive index is considered. The Cauchy …