This current research is considered some new exact soliton solutions to the time-fractional
three coupled non-linear Maccari's system in complex form with novel truncated M-fractional …

Purpose: In the last decades, many researchers have performed their best in order to find
the solution of the nonlinear evolution equations, nonlinear partial differential equations …

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 …

In this article, we utilize the generalized exponential rational function method and obtain
exact solitary wave solutions in various forms of the strain wave equation. Abundant exact …

In this paper, we obtain the exact traveling solutions of the M-fractional generalized reaction
Duffing model and density dependent M-fractional diffusion reaction equation by using three …

This current research is about the exact solitons of time-fractional Sasa-Satsuma higher
order non-linear Schrödinger equation with novel definition of derivative that are achieved …

The present paper investigates the features of specific waves in a weakly nonlocal nonlinear
medium. More precisely, a generalized nonlinear Schrödinger equation (gNLSE) involving a …

Purpose: When it comes to third and higher-order dispersion, the Schrödinger–Hirota
equation is one of the main models developed outside the classical NLSE management …

The search for exact solutions of nonlinear evolution models with different wave structures
has achieved significant attention in recent decades. The present paper studies a nonlinear …

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 …