This article examines the complex Ginzburg–Landau equation with the beta time derivative
and analyze its optical solitons and other solutions in the appearance of a detuning factor in …

The numerical solutions for nonlinear fractional Gardner and Cahn‐Hilliard equations
arising in fluids flow are obtained with the aid of two novel techniques, namely, fractional …

In this study, the fifth-order modified Korteweg-de Vries (F-MKdV) equation is first addressed
using Hirota's bilinear method. Thereafter, the exact and approximative solutions of the …

In this article, an amelioration of the approaches namely the new extended direct algebraic
method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) …

In this paper, the nonlinear Boussinesq equations with the conformable time-fractional
derivative are solved analytically using the well-established modified Kudryashov method …

The main goal of the present paper is to steer an investigation on the dynamics of soliton
solutions of a nonlinear model in the monomode optical fibers. In this respect, first, soliton …

In this paper, using the Painleve property, the traveling wave transformation, and the sine-
Gordon expansion method (SGEM), the Tzitzéica type evolution equations in nonlinear …

This paper considers the Biswas–Arshed equation (BAE) with the beta time derivative and
investigates its optical solitons and other solutions in the presence of high order dispersions …

In this article, the Riccati sub equation method is employed to solve fractional Zakharov–
Kuznetsov equation with dual-power law nonlinearity in the sense of the conformable …

In this paper, we used the natural decomposition approach with non-singular kernel
derivatives to find the solution to nonlinear fractional Gardner and Cahn–Hilliard equations …