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Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation

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Communications in Theoretical Physics 2024年第5期76卷 33-48页

作者： DongZhu Jiang Zhaqilao college of mathematics Science Inner Mongolia Normal UniversityHohhot 01022China Center for Applied Mathematical Science Inner MongoliaHohhot 010022China

In this paper,by using the Darboux transformation(DT)method and the Taylor expansion method,a new nth-order determinant of the hybrid rogue waves and breathers solution on the double-periodic background of the Kundu-DNLS equation is constructed when n is *** and rogue waves can be obtained from this determinant,*** to this,the hybrid rogue waves and breathers solutions on the different periodic backgrounds are given explicitly,including the single-periodic background,the double-periodic background and the plane wave background by selecting different *** addition,the form of the obtained solutions is summarized.

关键词： double-periodic background hybrid rogue waves and breather darboux transformation Kundu-DNLS equation

A New Scheme of the ARA Transform for Solving Fractional-Order Waves-Like Equations Involving Variable Coefficients

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工程与科学中的计算机建模(英文) 2024年第1期138卷 761-791页

作者： Yu-Ming Chu Sobia Sultana Shazia Karim Saima Rashid Mohammed Shaaf Alharthi Department of mathematics Huzhou UniversityHuzhou313000China Department of mathematics Imam Mohammad Ibn Saud Islamic UniversityRiyadh11461Saudi Arabia Department of Basic Sciences and Humanities UET LahoreFaisalabad Campus54800Pakistan Department of mathematics Government College UniversityFaisalabad38000Pakistan Department of mathematics and Statistics College of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia

The goal of this research is to develop a new,simplified analytical method known as the ARA-residue power series method for obtaining exact-approximate solutions employing Caputo type fractional partial differential equations(PDEs)with variable ***-transform is a robust and highly flexible generalization that unifies several existing *** key concept behind this method is to create approximate series outcomes by implementing the ARA-transform and Taylor’s *** process of finding approximations for dynamical fractional-order PDEs is challenging,but the ARA-residual power series technique magnifies this challenge by articulating the solution in a series pattern and then determining the series coefficients by employing the residual component and the limit at infinity *** approach is effective and useful for solving a massive class of fractional-order *** appealing implementations are taken into consideration to demonstrate the effectiveness of the projected technique in creating solitary series findings for the governing equations with variable ***,several visualizations are drawn for different fractional-order *** that,the estimated findings by the proposed technique are in close agreement with the exact ***,statistical analyses further validate the efficacy,dependability and steady interconnectivity of the suggested ARA-residue power series approach.

关键词： ARA-transform Caputo fractional derivative residue-power seriesmethod analytical solutions statistical analysis

Gray Images of Constacyclic Codes over a Non-chain Extension of Z_(4)

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Algebra Colloquium 2024年第1期31卷 11-24页

作者： Cruz Mohan Karthick Gowdhaman Durairajan Chinnapillai Jian Gao Department of mathematics Bishop Heber CollegeTrichyTamil NaduIndia Presidency University BengaluruKarnatakaIndia School of mathematics and Statistics Shandong University of Technology ZiboShandong 255000China

Let Z_(4) be the ring of integers modulo *** study the Λ-constacyclic and(θ,Λ)-cyclic codes over the non-chain ring R=Z_(4)[u,v]/for a unit Λ=1+2.+2. in *** define several Gray maps and find that the respective Gr... 详细信息

Let Z_(4) be the ring of integers modulo *** study the Λ-constacyclic and(θ,Λ)-cyclic codes over the non-chain ring R=Z_(4)[u,v]/2.=1,v^(2.=0,uv=vu=0>for a unit Λ=1+2.+2. in *** define several Gray maps and find that the respective Gray images of a quasi-cyclic code over Z_(4) are cyclic,quasi-cyclic or permutation equivalent to this *** an odd positive integer n,we determine the generator polynomials of cyclic and Λ-constacyclic codes of length n over ***,we prove that a(θ,Λ)-cyclic code of length n is a Λ-constacyclic code if n is odd,and a Λ-quasi-twisted code if n is even.A few examples are also incorporated,in which two parameters are new and one is best known to date.

关键词： non-chain ring linear code Ot-cyclic code Gray map (θ_(t),Λ)-cyclic code

New solutions for four novel generalized nonlinear fractional fifth-order equations

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Journal of Ocean Engineering and Science 2024年第1期9卷 59-65页

作者： Mehmet Senol Lanre Akinyemi Henrietta Nkansah Waleed Adel Nevsehir HacıBekta¸s Veli University Department of MathematicsNevsehirTurkey Department of mathematics Lafayette CollegeEastonPennsylvaniaUSA Department of mathematics University of Cape CoastCape CoastGhana Department of mathematics and Engineering Physics Faculty of EngineeringMansoura UniversityEgypt UniversitéFrançaise dÉgypte Ismailia Desert RoadEl ShoroukCairoEgypt

In this paper,new four fifth-order fractional nonlinear equations are derived and *** frac-tional terms are defined in the conformable sense and these equations are then solved using two effective methods,namely,the sub-equation and the generalized Kudryashov *** methods were tested on the proposed models and succeeded in finding new solutions with different values of parameters.A graphical representation of some results is provided and proves the efficiency and applicability of the proposed methods for providing solutions with known physical *** methods are good candi-dates for solving other similar problems in the future.

关键词： Conformable derivative Generalized Kudryashov method Sub-equation method Riccati equation Solitons

Weakly Compact Sets and Riesz Representation Theorem in Musielak Sequence Spaces

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Acta Mathematica Sinica,English Series 2024年第2期40卷 467-484页

作者： Wan Zhong GONG Si Yu SHI Zhong Rui SHI Department of mathematics Anhui Normal UniversityWuhu 241000P.R.China Smeal college of Business Pennsylvania State UniversityUniversity ParkPennsylwania 16802USA Department of mathematics Shanghai UniversityShanghai 200444P.R.China

In this work,we give some criteria of the weakly compact sets and a representation theorem of Riesz's type in Musielak sequence spaces using the ideas and techniques of sequence spaces and Musielak ***,as an immediate consequence of the criteria considered in this paper,the criteria of the weakly compact sets of Orlicz sequence spaces are deduced.

关键词： Compact set weak topology Banach space dual space Musielak sequence spaces

Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

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Communications in Theoretical Physics 2024年第3期76卷 1-14页

作者： Salah Boulaaras Rashid Jan Amin Khan Ali Allahem Imtiaz Ahmad Salma Bahramand Department of mathematics College of ScienceQassim UniversityBuraydah51452Saudi Arabia Institute of Energy Infrastructure(IEI) Department of Civil EngineeringCollege of EngineeringUniversiti Tenaga Nasional(UNITEN)Putrajaya CampusJalan IKRAM-UNITEN43000 KajangSelangorMalaysia Department of mathematics University of SwabiSwabi 23561Pakistan Department of mathematics College of SciencesQassim UniversitySaudi Arabia Institute of Informatics and Computing in Energy(IICE) Universiti Tenaga NasionalKajangSelangorMalaysia Department of Political Science Bacha Khan University CharsaddaCharsadda 24420KPK Pakistan

In the last forty years,the rise of HIV has undoubtedly become a major concern in the field of public health,imposing significant economic burdens on affected ***,it becomes imperative to undertake comprehensive investigations into the mechanisms governing the dissemination of HIV within the human *** this work,we have devised a mathematical model that elucidates the intricate interplay between CD4^(+)T-cells and viruses of HIV,employing the principles of fractional *** production rate of CD4^(+)T-cells,like other immune cells depends on certain factors such as age,health status,and the presence of infections or ***,we incorporate a variable source term in the dynamics of HIV infection with a saturated incidence rate to enhance the precision of our *** introduce the fundamental concepts of fractional operators as a means of scrutinizing the proposed HIV *** facilitate a deeper understanding of our system,we present an iterative scheme that elucidates the trajectories of the solution pathways of the *** show the time series analysis of our model through numerical findings to conceptualize and understand the key factors of the *** addition to this,we present the phase portrait and the oscillatory behavior of the system with the variation of different input *** information can be utilized to predict the long-term behavior of the system,including whether it will converge to a steady state or exhibit periodic or chaotic oscillations.

关键词： HIV infection fractional-calculus dynamics of HIV iterative scheme dynamical behaviour mathematical model fractional derivatives

Chemically Radiative MHD Flow of a Micropolar Nanofluid over a Stretching/ Shrinking Sheet with a Heat Source or Sink

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Fluid Dynamics & Materials Processing 2024年第2期20卷 257-274页

作者： Parakapali Roja Shaik Mohammed Ibrahim Thummala Sankar Reddy Giulio Lorenzini Department of mathematics Annamacharya Institute of Technology and SciencesKadapa516126India Department of Engineering mathematics College of EngineeringKoneru Lakshmaiah Education FoundationVaddeswaram522302India Department of mathematics Annamacharya Institute of Technology and SciencesKadapa516003India Department of Engineering and Architecture University of ParmaParma43124Italy

This study examines the behavior of a micropolar nanoﬂuidﬂowing over a sheet in the presence of a transverse magneticﬁeld and thermal *** addition,chemical(ﬁrst-order homogeneous)reactions are taken into account.A similarity transformation is used to reduce the system of governing coupled non-linear partial differ-ential equations(PDEs),which account for the transport of mass,momentum,angular momentum,energy and species,to a set of non-linear ordinary differential equations(ODEs).The Runge-Kutta method along with shoot-ing method is used to solve *** impact of several parameters is *** is shown that the micro-rota-tional velocity of theﬂuid rises with the micropolar ***,the radiation parameter can have a remarkable inﬂuence on theﬂow and temperature proﬁles and on the angular momentum distribution.

关键词： Chemical(ﬁrst order homogeneous)reaction magnetohydrodynamics micropolar nanoﬂuid stretching/shrinking sheet heat source

Generic singularities for 2. pressureless flows

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Science China mathematics 2024年

作者： Alberto Bressan Geng Chen Shoujun Huang Department of mathematics Penn State University University Park Department of mathematics University of Kansas college of Mathematical Medicine Zhejiang Normal University

In this paper, we consider the Cauchy problem for pressureless gases in two space dimensions with the generic smooth initial data(density and velocity). These equations give rise to singular curves, where the mass has a positive density with respect to the 1-dimensional Hausdorff measure. We observe that the system of equations describing these singular curves is not hyperbolic. For analytic data, local solutions are constructed by using a version of the Cauchy-Kovalevskaya theorem. We then study the interaction of two singular curves in the generic position. Finally, for a generic initial velocity field, we investigate the asymptotic structure of the smooth solution up to the first time when a singularity is formed.

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Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks

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Chinese Physics B 2024年第6期33卷 125-140页

作者：黄习习肖敏 Leszek Rutkowski 包海波黄霞曹进德 college of Automation&college of Artificial Intelligence Nanjing University of Posts and TelecommunicationsNanjing 210023China Systems Research Institute of the Polish Academy of Sciences 01-447 WarsawPoland college of Electrical Engineering and Automation Shandong University of Science and TechnologyQingdao 266590China School of mathematics Southeast UniversityNanjing 210096China

A dynamical model is constructed to depict the spatial-temporal evolution of malware in mobile wireless sensor networks(MWSNs). Based on such a model, we design a hybrid control scheme combining parameter perturbation and state feedback to effectively manipulate the spatiotemporal dynamics of malware propagation. The hybrid control can not only suppress the Turing instability caused by diffusion factor but can also adjust the occurrence of Hopf bifurcation induced by time delay. Numerical simulation results show that the hybrid control strategy can efficiently manipulate the transmission dynamics to achieve our expected desired properties, thus reducing the harm of malware propagation to MWSNs.

关键词： mobile wireless sensor networks reaction-diffusion Hopf bifurcation hybrid control