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Painlevé integrability and a collection of new wave structures related to an important model in shallow water waves

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Communications in Theoretical Physics 2023年第7期75卷 70-80页

作者： Isma Ghulam Murtaza nauman raza Saima Arshed Department of Mathematics University of the PunjabLahore 54590Pakistan

This paper investigates the perturbed Boussinesq equation that emerges in shallow water *** perturbed Boussinesq equation describes the properties of longitudinal waves in bars,long water waves,plasma waves,quantum mechanics,acoustic waves,nonlinear optics,and other *** a result,the governing model has significant importance in its own *** singular manifold method and the unified methods are employed in the proposed model for extracting hyperbolic,trigonometric,and rational function *** solutions may be useful in determining the underlying context of the physical *** is worth noting that the executed methods are skilled and effective for examining nonlinear evaluation equations,compatible with computer algebra,and provide a wide range of wave *** addition to this,the Painlevétest is also used to check the integrability of the governing ***-dimensional and threedimensional plots are made to illustrate the physical behavior of the newly obtained exact *** makes the study of exact solutions to other nonlinear evaluation equations using the singular manifold method and unified technique prospective and deserving of further study.

关键词： soliton shallow water waves singular manifold method Painleve test

Fractional soliton dynamics of electrical microtubule transmission line model with local M-derivative

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Communications in Theoretical Physics 2021年第9期73卷 17-25页

作者： nauman raza Saima Arshed Kashif Ali Khan Mustafa Inc Department of Mathematics University of the PunjabQuaid-e-Azam CampusLahorePakistan Department of Mathematics University of Engineering and TechnologyLahorePakistan Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Science FacultyFirat UniversityElazigTurkey Department of Medical Research Medical University HospitalChina Medical UniversityTaichungTaiwanChina

In this paper,two integrating strategies namely exp[-Ф(Х)]and (G'/G^(2))-expansion methods together with the attributes of local-M derivatives have been acknowledged on the electrical microtubule(MT)model to retrieve soliton *** said model performs a significant role in illustrating the waves propagation in nonlinear *** are also highly productive in signaling,cell motility,and intracellular *** proposed algorithms yielded solutions of bright,dark,singular,and combo fractional soliton *** significance of the fractional parameters of the fetched results is explained and presented vividly.

关键词： solitons solution microtubule nonlinear transmission line (G'/G^(2))-expansion method

Insights of numerical simulations of magnetohydrodynamic squeezing nanofluid flow through a channel with permeable walls

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Propulsion and Power Research 2021年第4期10卷 412-420页

作者： Kashif Ali Khan nauman raza Mustafa Inc Department of Mathematics University of Engineering and TechnologyLahorePunjab54000Pakistan Department of Mathematics University of the PunjabLahorePunjab54000Pakistan Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Firat UniversityElazig23119Turkey

An analysis related to the transport of nanofluid that is confined in a channel between two orthogonal permeable walls will be investigated with the help of two numerical *** the aid of the reasonable similarity changeover;the said model will be shaped into the desired non-linear equation whose behavior will be explained analytically as well as graphically where the functioning of three disparate variables such as magnetic parameter,permeable Reynold number,and channel permeable ratio will be explained *** said model has been controlled by the homotopy analysis method(HAM)and then,compared through an efficient numerical method named shooting method(ShM).The profiles show that increases in the magnetic parameter decline the nanofluid flow velocity,whereas magnitude-wise raise is shown in each axial velocity *** radial profile raises while getting variation in wall expansion parameter from negative to *** the entire domain,the rate of change in velocity description enhances at the center while reduces at the *** the outcomes disclose that the wall permeable ratio has a significant impact on the *** the zero value of wall ratio refers to the particular type that Terrill has discussed.

关键词： Homotopy analysis method Orthogonal walls Nanofluid Similarity changeover Wall ratio factor

Multi-solitons of Thermophoretic Motion Equation Depicting the Wrinkle Propagation in Substrate-Supported Graphene Sheets

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Communications in Theoretical Physics 2019年第4期71卷 362-366页

作者： Ahmad Javid nauman raza M.S.Osman Department of Mathematics University of the Punjab Quaid-e-Azam Campus Department of Mathematics Faculty of Science Cairo University Department of Mathematics Duba University College University of Tabuk

The paper addresses the thermophoretic motion(TM) equation, which is serviced to describe soliton-like thermophoresis of wrinkles in graphene sheet based on Korteweg-de Vries(KdV) equation. The generalized uni?ed method is capitalized to construct wrinkle-like multiple soliton solutions. Graphical analysis of one, two, and threesoliton solutions is carried out to depict certain properties like width, amplitude, shape, and open direction are adjustable through various parameters.

关键词： thermophoretic motion equation generalized unified method multiple soliton solution graphene sheets

A new study and modeling of COVID-19 disease through fractional models:A comparative paradigm

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Applied Mathematics(A Journal of Chinese Universities) 2024年第4期39卷 674-699页

作者： Muhammad Asad Ullah nauman raza Department of Mathematics University of the PunjabLahore 54000Pakistan

In this research,novel epidemic models based on fractional calculus are developed by utilizing the Caputo and Atangana-Baleanu(AB)*** models integrate vaccination effects,additional safety measures,home and hospital isolation,and treatment *** models are particularly significant as they provide a more comprehensive understanding of epidemic diseases and can account for non-locality and memory *** points of the model are calculated,including the disease-free and endemic equilibrium points,and the basic reproduction number R0 is computed using the next-generation matrix *** indicate that the epidemic becomes endemic when R0 is greater than unity,and it goes extinct when it is less than *** positiveness and boundedness of the solutions of model are *** Routh-Hurwitz technique is utilized to analyze the local stability of equilibrium *** Lyapunov function and the LaSalle’s principle are used to demonstrate the global stability of equilibrium *** schemes are proposed,and their validity is established by comparing them to the fourth-order Runge-Kutta(RK4)*** simulations are performed using the Adams-Bashforth-Moulton predictor-corrector algorithm for the Caputo time-fractional derivative and the Toufik-Atangana numerical technique for the AB time-fractional *** study looks at how the quarantine policy affected different human population *** the basis of these findings,a strict quarantine policy voluntarily implemented by an informed human population can help reduce the pandemic’s ***,vaccination efforts become a crucial tool in the fight against *** can greatly lower the number of susceptible people and develop a shield of immunity in the population by guaranteeing common access to vaccinations and boosting vaccination ***,the graphical representations of the fractional models are also developed.

关键词： Atangana-Baleanu fractional derivative Caputo fractional derivative Tou k-Atangana numeri-cal scheme Adams-Bashforth-Moulton predictor-corrector Reproduction number R_(0)

Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach

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Journal of Ocean Engineering and Science 2023年第1期8卷 33-41页

作者： Saima Arshed nauman raza Asma Rashid Butt Ahmad Javid J.F.Gómez-Aguilar Department of Mathematics University of the PunjabQuaid-e-Azam CampusLahorePakistan Department of Mathematics University of Engineering and TechnologyLahorePakistan School of Natural Sciences(SNS) National University of Sciences and Technology(NUST)Islamabad 44000Pakistan CONACyT-Tecnológico Nacional de México/CENIDET Interior Internado Palmira S/NCol.PalmiraCuernavaca Morelos C.P.62490México

The paper investigates the multiple rogue wave solutions associated with the generalized Hirota-Satsuma-Ito(HSI)equation and the newly proposed extended(3+1)-dimensional Jimbo-Miwa(JM)equation with the help of a symbolic computation *** incorporating a direct variable trans-formation and utilizing Hirota’s bilinear form,multiple rogue wave structures of different orders are ob-tained for both generalized HSI and JM *** obtained bilinear forms of the proposed equations successfully investigate the 1st,2nd and 3rd-order rogue *** constructed solutions are verified by inserting them into original *** computations are assisted with 3D graphs to analyze the propagation dynamics of these rogue *** properties of these waves are governed by different parameters that are discussed in details.

关键词： Generalized Hirota-Satsuma-Ito(HSI) equation The new extended(3+1)-dimensional Jimbo-Miwaequation Symbolic computation approach Bilinear form Rogue wave solutions

Evolutionary Safe Padé Approximation Scheme for Dynamical Study of Nonlinear Cervical Human Papilloma Virus Infection Model

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Computer Modeling in Engineering & Sciences 2024年第9期140卷 2275-2296页

作者： Javaid Ali Armando Ciancio Kashif Ali Khan nauman raza Haci Mehmet Baskonus Muhammad Luqman Zafar-Ullah Khan Department of Mathematics Govt.Graduate College TownshipLahore54770Pakistan Universitàdegli Studi di Messina Dipartimento di Scienze BiomedicheOdontoiatriche e delle Immagini Morfologiche e FunzionaliMessina98122Italy Department of Mathematics University of Engineering and TechnologyLahore54890Pakistan Department of Mathematics University of the PunjabLahore54590Pakistan Mathematics Research Center Near East University TRNCMersin 10Nicosia99138Turkey Department of Mathematics and Science Education Faculty of EducationHarran UniversitySanliurfa63190Turkey Department of Dermatology Rashid Latif Medical CollegeLahore54600Pakistan

This study proposes a structure-preserving evolutionary framework to find a semi-analytical approximate solution for a nonlinear cervical cancer epidemic(CCE)*** underlying CCE model lacks a closed-form exact *** solutions obtained through traditional finite difference schemes do not ensure the preservation of the model’s necessary properties,such as positivity,boundedness,and ***,the development of structure-preserving semi-analytical approaches is always *** research introduces an intelligently supervised computational paradigm to solve the underlying CCE model’s physical properties by formulating an equivalent unconstrained optimization ***-free safe Padérational functions approximate the mathematical shape of state variables,while the model’s physical requirements are treated as problem *** primary model of the governing differential equations is imposed to minimize the error between approximate *** evolutionary algorithm,the Genetic Algorithm with Multi-Parent Crossover(GA-MPC),executes the optimization *** resulting method is the Evolutionary Safe PadéApproximation(ESPA)*** proof of unconditional convergence of the ESPA scheme on the CCE model is supported by numerical *** performance of the ESPA scheme on the CCE model is thoroughly investigated by considering various orders of non-singular Padéapproximants.

关键词： Nonlinear cervical cancer epidemic non-singular Padéapproximants approximate solutions computational biology

Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation

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Applied Mathematics 2013年第8期4卷 1212-1219页

作者： nauman raza Sultan Sial Department of Mathematics Lahore University of Management Sciences Lahore Pakistan Department of Mathematics University of the Punjab Lahore Pakistan Department of Mathematics and Statistics McMaster University Hamilton Canada

The application of Sobolev gradient methods for finding critical points of the Huxley and Fisher models is demonstrated. A comparison is given between the Euclidean, weighted and unweighted Sobolev gradients. Results ... 详细信息

关键词： Sobolev Gradient Huxley and Fisher Models Descent Methods

A Structure Preserving Numerical Method for Solution of Stochastic Epidemic Model of Smoking Dynamics

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Computers, Materials & Continua 2020年第10期65卷 263-278页

作者： Ali raza Muhammad Rafiq nauman Ahmed Ilyas Khan Kottakkaran Sooppy Nisar Zafar Iqbal Department of Mathematics National College of Business Administration and EconomicsLahorePakistan Faculty of Engineering University of Central PunjabLahorePakistan Department of Mathematics and Statistics The University of LahoreLahorePakistan Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Arts and Science at Wadi AldawaserPrince Sattam Bin Abdulaziz UniversityAlkharjSaudi Arabia

In this manuscript,we consider a stochastic smoking epidemic model from behavioural ***,we develop a structure preserving numerical method to describe the dynamics of stochastic smoking epidemic model in a human *** structural properties of a physical system include positivity,boundedness and dynamical *** properties play a vital role in non-linear *** solution for nonlinear stochastic models necessitates the conservation of these ***,the aforementioned properties of the model have not been restored in the existing stochastic ***,it is essential to construct a structure preserving numerical method for a reliable analysis of stochastic smoking *** usual explicit stochastic numerical methods are time-dependent and violate most of the structural *** this work,we have developed the implicitly driven explicit method for the solution of stochastic smoking *** is also proved that the newly developed method sustains all the aforementioned properties of the ***,the convergence analysis of the newly developed method and graphical illustrations are presented.

关键词： Smoking model stochastic numerical techniques convergence