[HTML][HTML] Construction of exact traveling wave solutions of the Bogoyavlenskii equation by (G′/G, 1/G)-expansion and (1/G′)-expansion techniques

A Yokus, H Durur, H Ahmad, P Thounthong, YF Zhang - Results in Physics, 2020 - Elsevier
In this article, we construct exact solutions of the Bogoyavlenskii equation using (1/G′)-
expansion and (G′/G, 1/G)-expansion techniques. Both techniques have been successfully …

Novel complex wave solutions of the (2+ 1)-dimensional hyperbolic nonlinear Schrödinger equation

H Durur, E Ilhan, H Bulut - Fractal and Fractional, 2020 - mdpi.com
This manuscript focuses on the application of the (m+ 1/G′)-expansion method to the (2+ 1)-
dimensional hyperbolic nonlinear Schrödinger equation. With the help of projected method …

Hyperbolic type solutions for the couple Boiti-Leon-Pempinelli system

A Yokus, H Durur, H Ahmad - Facta Universitatis, Series …, 2020 - casopisi.junis.ni.ac.rs
Abstract In this paper, the (1/G')-expansion method is used to solve the coupled Boiti-Leon-
Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type …

Analytical and numerical approaches to nerve impulse model of fractional‐order

M Yavuz, A Yokus - Numerical Methods for Partial Differential …, 2020 - Wiley Online Library
We consider a fractional‐order nerve impulse model which is known as FitzHugh–Nagumo
(F–N) model in this paper. Knowing the solutions of this model allows the management of …

Role of Gilson–Pickering equation for the different types of soliton solutions: a nonlinear analysis

A Yokuş, H Durur, KA Abro, D Kaya - The European Physical Journal Plus, 2020 - Springer
In this article, the soliton solutions of the Gilson–Pickering equation have been constructed
using the sinh-Gordon function method (ShGFM) and (G′/G, 1/G)-expansion method, which …

[HTML][HTML] Modulation instability analysis and optical solutions of an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger equation

KK Ali, S Tarla, MR Ali, A Yusuf - Results in Physics, 2023 - Elsevier
Abstract We examine an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger
equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial …

Construction of different types analytic solutions for the Zhiber-Shabat equation

A Yokus, H Durur, H Ahmad, SW Yao - Mathematics, 2020 - mdpi.com
In this paper, a new solution process of (1/G′)-expansion and (G′/G, 1/G)-expansion
methods has been proposed for the analytic solution of the Zhiber-Shabat (ZS) equation …

Simulation and refraction event of complex hyperbolic type solitary wave in plasma and optical fiber for the perturbed Chen-Lee-Liu equation

A Yokuş, H Durur, S Duran - Optical and Quantum Electronics, 2021 - Springer
In this article, Modified 1/G^ ′ 1/G′-expansion and Modified Kudryashov methods are
applied to generate traveling wave solutions of Perturbed Chen-Lee-Liu equation. The …

[HTML][HTML] Analytic approximate solutions of diffusion equations arising in oil pollution

H Ahmad, TA Khan, H Durur, GM Ismail… - Journal of Ocean …, 2021 - Elsevier
In this article, modified versions of variational iteration algorithms are presented for the
numerical simulation of the diffusion of oil pollutions. Three numerical examples are given to …

Symbolic computation of Caudrey–Dodd–Gibbon equation subject to periodic trigonometric and hyperbolic symmetries

A Yokuş, H Durur, KA Abro - The European Physical Journal Plus, 2021 - Springer
The nonlinear evolution equations have been being continuously traced out to have
remarkable progress and innovative applications by mathematicians and physicists. In this …