New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation

H Rezazadeh, SM Mirhosseini-Alizamini, M Eslami… - Optik, 2018 - Elsevier
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) …

Soliton solutions of the conformable fractional Zakharov–Kuznetsov equation with dual-power law nonlinearity

FS Khodadad, F Nazari, M Eslami… - Optical and Quantum …, 2017 - Springer
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 …

New exact solutions of nonlinear conformable time-fractional Phi-4 equation

H Rezazadeh, H Tariq, M Eslami, M Mirzazadeh… - Chinese Journal of …, 2018 - Elsevier
In this paper, new exact analytical solutions of time-fractional Phi-4 equation are developed
using extended direct algebraic method by means of conformable fractional derivative. The …

On the conformable nonlinear Schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients

H Rezazadeh, M Odabasi, KU Tariq, R Abazari… - Chinese Journal of …, 2021 - Elsevier
In this paper, exact traveling wave solutions of the conformable differential equations have
been examined. By means of the wave transformation and properties of the conformable …

Traveling wave solutions for (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity

MS Osman, H Rezazadeh, M Eslami - Nonlinear Engineering, 2019 - degruyter.com
In this work, we consider the (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov
equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic …

Travelling wave solution for the Landau-Ginburg-Higgs model via the inverse scattering transformation method

MR Ali, MA Khattab, SM Mabrouk - Nonlinear Dynamics, 2023 - Springer
Abstract The Landau-Ginzburg-Higgs (LGH) equation explains the ocean engineering
models, superconductivity and drift cyclotron waves in radially inhomogeneous plasma for …

The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative

M Eslami, FS Khodadad, F Nazari… - Optical and Quantum …, 2017 - Springer
In this paper, we construct exact solutions for the space–time nonlinear conformable
fractional Bogoyavlenskii equations by using the first integral method, and with the help of …

A critical analysis of the conformable derivative

AA Abdelhakim, JAT Machado - Nonlinear Dynamics, 2019 - Springer
We prove that conformable “fractional” differentiability of a function f: 0, ∞\, ⟶ R f: 0,∞⟶ R is
nothing else than the classical differentiability. More precisely, the conformable α α …

[PDF][PDF] New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity

M Inc, H Rezazadeh, J Vahidi, M Eslami, MA Akinlar… - Aims Math, 2020 - aimspress.com
We present new exact solutions in the form of solitary waves for the conformable Klein-
Gordon equation with quintic nonlinearity. We use functional variable method which …

Analytical and semi‐analytical solutions for time‐fractional Cahn–Allen equation

MMA Khater, A Bekir, D Lu… - Mathematical Methods in …, 2021 - Wiley Online Library
This paper investigates the analytical and semi‐analytical solutions of the time‐fractional
Cahn–Allen equation, which describes the structure of dynamic for phase separation in Fe …