The unified method for conformable time fractional Schro¨ dinger equation with perturbation terms

MS Osman, A Korkmaz, H Rezazadeh… - Chinese Journal of …, 2018 - Elsevier
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 large family of optical solutions to Kundu–Eckhaus model by a new auxiliary equation method

H Rezazadeh, A Korkmaz, M Eslami… - Optical and Quantum …, 2019 - Springer
The present study suggests a large family of optical solutions to the Kundu–Eckhaus model.
Modified form of an auxiliary equation approach have been used to set the solution families …

Dynamical behaviour of Chiral nonlinear Schrödinger equation

L Akinyemi, M Inc, MMA Khater… - Optical and Quantum …, 2022 - Springer
In this work, we study the exact traveling wave solutions of (2+ 1)-dimensional Chiral
nonlinear Schrödinger equation with the aid of generalized auxiliary equation method. The …

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) …

Biswas–Arshed equation with the beta time derivative: optical solitons and other solutions

K Hosseini, M Mirzazadeh, M Ilie, JF Gómez-Aguilar - Optik, 2020 - Elsevier
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 …

Soliton solutions of the Sasa–Satsuma equation in the monomode optical fibers including the beta-derivatives

K Hosseini, M Mirzazadeh, JF Gómez-Aguilar - Optik, 2020 - Elsevier
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 …

[HTML][HTML] Sine-Gordon expansion method for exact solutions to conformable time fractional equations in RLW-class

A Korkmaz, OE Hepson, K Hosseini… - Journal of King Saud …, 2020 - Elsevier
Abstract The Sine-Gordon expansion method is implemented to construct exact solutions
some conformable time fractional equations in Regularized Long Wave (RLW)-class …

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 …

The new exact solitary wave solutions and stability analysis for the ( 2 + 1 ) -dimensional Zakharov–Kuznetsov equation

B Ghanbari, A Yusuf, M Inc, D Baleanu - Advances in difference equations, 2019 - Springer
In this paper, a new generalized exponential rational function method is employed to extract
new solitary wave solutions for the Zakharov–Kuznetsov equation (ZKE). The ZKE exhibits …