In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–
Kashiwara–Miwa equation with conformable derivative by using an efficient and well …

In this paper, we investigate the modulation instability and the dynamics of solitary waves in
a higher-order nonlinear Schrödinger equation. We use a powerful and robust method …

In this paper, the stochastic nonlinear Schrödinger equation (NLSE) forced by multiplicative
noise that represents the temporal change of fluctuations is examined in a more extended …

This work finds several new traveling wave solutions for nonlinear directional couplers with
optical metamaterials by means of the modified Kudryashov method. This model can be …

In this study, we investigate the perturbed Chen-Lee-Liu equation that represents the
propagation of an optical pulse in plasma and optical fiber. The Jacobi elliptic function …

In this work, we introduce a numerical and analytical study of the Peyrard-Bishop DNA
dynamic model equation. This model is studied analytically by hyperbolic and exponential …

The present paper explores the generalized third-order nonlinear Schrödinger (GTONLS)
equation which is used to model ultra-short pulses in optical fibers. The analysis is carried …

In this paper, new analytical obliquely propagating wave solutions for the time fractional
extended Zakharov–Kuzetsov (FEZK) equation of conformable derivative are investigated …

The present study implements the unified method to the conformable time fractional non
linear Schr o¨ dinger equation with perturbation terms. Reduction of the governing equation …

A variety of new optical waves solutions of the Fokas-Lenells equation in presence of
perturbation terms is investigated. A new approach is used, namely the generalized …