64 Result(s)
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Haci Mehmet Baskonus
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Article
An Investigation of the Influence of Time Evolution on the Solution Structure Using Hyperbolic Trigonometric Function Methods
In attempting to mathematically create traveling wave solutions to the (2+1)-dimensional integro-differential Jaulent–Miodek equation, the extended rational ...
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Article
Hirota–Maccari system arises in single-mode fibers: abundant optical solutions via the modified auxiliary equation method
This research paper’s primary goal is to find fresh approaches to the Hirota–Maccari system. This system explains the dynamical features of the femto-second soliton pulse in single-mode fibers. The bright soli...
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Article
Novel optical solutions to the dispersive extended Schrödinger equation arise in nonlinear optics via two analytical methods
The main goal of this paper is to study the higher-order dispersive extended nonlinear Schrödinger equation, which demonstrates the propagation of ultrashort pulses in optical communication networks. In this s...
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Article
Open AccessNumerical solution of fractional PDEs through wavelet approach
To solve fractional partial differential equations (FPDEs) under various physical conditions, this study developed a novel method known as the Hermite wavelet method employing the functional integration matrix...
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Article
Open AccessAn investigation of Fokas system using two new modifications for the trigonometric and hyperbolic trigonometric function methods
In this work, two new adaptations for the trigonometric and hyperbolic trigonometric function approaches have been presented. These two modifications, entitled modified extended rational
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Article
Open AccessPainlevé analysis, Painlevé–Bäcklund, multiple regular and singular kink solutions of dynamical thermopherotic equation drafting wrinkle propagation
The thermophoretic motion (TM) system with a variable heat transmission factor, based on the Korteweg-de Vries (KdV) equation, is used to model soliton-like thermophoresis of creases in graphene sheets. Painle...
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Article
Analysis of 4-Dimensional Caputo–Fabrizio Derivative for Chaotic Laser System: Boundedness, Dynamics of the System, Existence and Uniqueness of Solutions
The study of the complex model associated with chaotic models is always the most complicated and fundamental in the current scientific environment. The primary goal of the current paper is to provide an illust...
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Article
On the Hermite and Mathieu Special Characterizations to the Logarithmic Zakharov–Kuznetsov Equations
In this paper, we find the new travelling wave solutions for several aspects of logarithmic Zakharov–Kuznetsov (ZK) equations using an efficient technique called the special function method which is composed o...
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Article
Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method
This paper deals with a nonlinear Schrödinger equation in the sense of conformable derivative. Bifurcations and phase portraits are first proposed by using bifurcation theory, which investigates the dynamical ...
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Article
On the implementation of fractional homotopy perturbation transform method to the Emden–Fowler equations
In this paper, we use the homotopy perturbation transform method (HPTM) to offer an efficient semi-analytical technique for solving fractional Emden–Fowler equations. A mixture of Laplace transform, Caputo–Fab...
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Article
Nature analysis of Cross fluid flow with inclined magnetic dipole
The aim of this article is to explore the characteristics of fluid flow using the process of melting and entropy generation past on the Riga plate. Cross fluid is competent to explore the characteristics of fluid...
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Article
Instability modulation and novel optical soliton solutions to the Gerdjikov–Ivanov equation with M-fractional
The modified exponential function method is used to obtain some new analytical solutions of the nonlinear Gerdjikov–Ivanov equation with the M-fractional operator. The novel obtained solutions are expressed in...
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Chapter and Conference Paper
Approximate Numerical Solution of the Nonlinear Klein-Gordon Equation with Caputo-Fabrizio Fractional Operator
This work analyze the linear and nonlinear fractional Klein-Gordon equation using fractional homotopy perturbation transform method (FHPTM) via Caputo-Fabrizio derivative
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Article
Open AccessEffect of heat transfer on hybrid nanofluid flow in converging/diverging channel using fuzzy volume fraction
This work explores the magneto-hydrodynamics (MHD) Jeffery–Hamel nanofluid flow between two rigid non-parallel plane walls with heat transfer by employing hybrid nanoparticles, especially Cu and Cu-Al ...
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Article
Dynamics of traveling wave solutions arising in fiber optic communication of some nonlinear models
This article deals with the applications of \((1/G')\) ( 1 ...
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Article
Investigation of optical solitons to the nonlinear complex Kundu–Eckhaus and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations in conformable
This research manuscript focuses on the extraction of dark-bright solitons and periodic wave distributions of two models, namely, the Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation and complex Kundu–Eckhaus ...
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Article
On pulse propagation of soliton wave solutions related to the perturbed Chen–Lee–Liu equation in an optical fiber
In this paper, perturbed Chen–Lee–Liu equation is considered to describe pulse propagation in optical fibers. Chen–Lee–Liu equation is a derivative form of the nonlinear Schrödinger equation. Two renowned anal...
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Article
Numerical analysis of nonlinear fractional Klein–Fock–Gordon equation arising in quantum field theory via Caputo–Fabrizio fractional operator
The present article deals with the solution of nonlinear fractional Klein–Fock–Gordon equation which involved the newly developed Caputo–Fabrizio fractional derivative with non-singular kernel. We adopt fracti...
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Article
A Novel Approach for Fractional \((1+1)\) -Dimensional Biswas–Milovic Equation
In this paper, we find the solution for \((1+1)\) ( 1 ...
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Article
A Reliable Solution of Arbitrary Order Nonlinear Hunter–Saxton Equation with Time Dependent Derivative in Liouville–Caputo Sense
In this article, an analysis of time-fractional nonlinear Hunter–Saxton equation is conducted and its solution is found using FVIM. The convergence of series solution is also presented. The obtained results ar...
