The study presented investigates the space-time fractional nonlinear Schrödinger equation,
which is important in telecommunication industry, especially in optical fibers. The extended …

In this paper, the new representations of optical wave solutions to fiber Bragg gratings with
cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index …

In this study, we explore the essential conditions for the existence of optical solitary solutions
within a novel two-mode extension derived from the unstable nonlinear Schrödinger …

Within the context of this article, we undertake a comprehensive exploration of the paraxial
wave dynamical model, a modified version of Schrödinger's equation. This equation is a well …

This work presents the analytical study of one dimensional time-fractional nonlinear
Schrödinger equation arising in quantum mechanics. In present research, we establish an …

Abstract The (3+ 1)-dimensional Schrödinger model plays an importance role in capturing
highly nonlinear optical phenomena with ultra-short pulses. In this regard, the objective of …

Using the Laplace residual power series approach, this study establishes solutions to
fractional differential equations with boundary conditions. The proposed method is effective …

This study examines the analytic wave solutions of a fourth-order (2+ 1)-dimensional
nonlinear Schrödinger equation with higher-order odd and even terms using the modified …

The current manuscript proposes an innovative approach for obtaining exact solutions to the
conformable time-fractional nonlinear differential-difference equations (NDDEs). The …

This research paper's primary goal is to find fresh approaches to the Hirota–Maccari system.
This system explains the dynamical features of the femto-second soliton pulse in single …