In this work, we study an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger
equation (P-NLS) with Kerr law nonlinearity in a nano optical fiber. The extended model …

In this work, new interesting types of periodic solutions to the damped (2+ 1)-dimensional
Schrodinger equation are extracted by applying new modifications of both rational sine …

Abstract We examine an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger
equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial …

This paper secures exact solutions from perturbed complex Ginzburg–Landau equation that
is taken into account with Kerr law and cubic–quintic–septic nonlinearity. Two approaches …

The three-dimensional (3-D) nonlinear and dispersive PDEs system for surface waves
propagating at undisturbed water surface under the gravity force and surface tension effects …

In this paper, the resonant nonlinear Schrödinger's equation is studied with four forms of
nonlinearity. This equation is also considered with time-dependent coefficients. The simplest …

This paper derives singular 1-soliton solution for optical metamaterials. There are two
integration approaches that obtains the solution. These are the ansatz approach and the …

The present paper aims to explore bifurcation analysis, modulation instability, and optical
soliton solutions in nonlinear media with third-order dispersion terms. A variable coefficient …

This paper obtains solitons and singular periodic solutions to the generalized resonant
dispersive nonlinear Schrödinger'equation with power law nonlinearity. There are several …

In this paper, we establish exact solutions for some time fractional differential equations. The
simplest equation method is used to construct the exact solutions of nonlinear fractional …