39 Result(s)
within
Article
Haci Mehmet Baskonus
Physics
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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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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 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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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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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
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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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
Solitary wave solitons to one model in the shallow water waves
The current study utilizes the generalized \(\tan (K(\rho )/2)\) tan ...
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New exact solutions for nematicons in liquid crystals by the \(\tan (\phi /2)\)-expansion method arising in fluid mechanics
In this research paper, we try to illustrate the structure of the novel exact soliton wave solutions of nematicons in liquid crystals with four law nonlinearity forms including the Kerr, power, parabolic and d...
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Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and \((m+({G'}/{G}))\) -expansion method
The purpose of this study is to find some novel soliton solutions of Fokas–Lenells (FL) equation where the perturbation terms are taken into account with nonlinearity. The sine-Gordon expansion method (SGEM) a...
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Article
Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique
This paper presents an analytical solver which is known as a generalization of types methodologies. With the proposed method, one of the old but at the same time popular problem is considered, which is known a...
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Article
An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women
Lassa hemorrhagic fever is a lethal and transmissible disease, whose outbreaks were first witnessed in Central Africa Republic, Liberia, Nigeria, Guinea and Sierra Leone. This deadly disease kills pregnant wom...
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Article
An efficient technique for a fractional-order system of equations describing the unsteady flow of a polytropic gas
In the present investigation, the q-homotopy analysis transform method (q-HATM) is applied to find approximated analytical solution for the system of fractional differential equations describing the unsteady flow...
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Article
Solitons in conformable time-fractional Wu–Zhang system arising in coastal design
The modified exp \(\left( {-\Omega \left( \zeta \right) } \right) \) ...
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Complex surfaces to the fractional (2 + 1)-dimensional Boussinesq dynamical model with the local M-derivative
This manuscript finds new solutions to the fractional (2 + 1)-dimensional Boussinesq dynamical model with the local M -derivative with the help of the modified exponential function method. Many new complex singul...
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Article
Analysis of the dynamics of hepatitis E virus using the Atangana-Baleanu fractional derivative
The pivotal aim of the present work is to analyse the dynamics of fractional mathematical model of the hepatitis E virus using the fractional Atangana-Baleanu (AB) derivative. The existence and uniqueness of t...
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Article
Jacobi elliptic function solutions of the double dispersive equation in the Murnaghan's rod
This research communication aims to obtain the periodic wave solutions of the double dispersive equation of the wave propagation in a nonlinear elastic inhomogeneous Murnaghan's rod by using the F -expansion tech...
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Article
Optical solitons and other solutions to the conformable space–time fractional complex Ginzburg–Landau equation under Kerr law nonlinearity
This study reveals the dark, bright, combined dark–bright, singular, combined singular optical solitons and singular periodic solutions to the conformable space–time fractional complex Ginzburg–Landau equation...
