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Application of G′/G-expansion Method to Kuramoto-Sivashinsky Equation

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Acta Mathematicae Applicatae Sinica 2016年第3期32卷 623-630页

作者： Ghodrat Ebadi anjan biswas Faculty of Mathematical Sciences University of Tabriz Department of Mathematical Sciences Delaware State University Faculty of Science Department of MathematicsKing Abdulaziz University

This paper obtains the solutions of the Kuramoto-Sivashinsky equation. The G′/G method is used to carry out the integration of this equation. Subsequently, its special case, will be integrated and topological 1- soliton solution will be obtained by the soliton ansatz method. The restrictions on the parameters and exponents are also identified.

关键词： evolution equations solitons integrability

Singular solitons and other solutions to a couple of nonlinear wave equations

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Chinese Physics B 2013年第6期22卷 115-121页

作者： Mustafa Inc Esma Ulutas anjan biswas Firat University Department of Mathematics23119 ElazgTürkiye Bitlis Eren University Deparment of StatisticBitlis Türkiye Department of Mathematical Sciences Delaware State UniversityDover DE 19901-2277 USA

This paper addresses the extended （G′/G）-expansion method and applies it to a couple of nonlinear wave equations. These equations are modified the Benjamin-Bona-Mahoney equation and the Boussinesq equation. This extended method reveals several solutions to these equations. Additionally, the singular soliton solutions are revealed, for these two equations, with the aid of the ansatz method.

关键词： (G′/G)-expansion method travelling wave solutions singular soliton mBBM and Boussinesqequations

Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity

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Frontiers of Mathematics in China 2013年第1期8卷 191-201页

作者： Ming SONG Zhengrong LIU Essaid ZERRAD anjan biswas Department of Mathematics South China University of Technology Guangzhou 510640 China Department of Mathematics Yuxi Normal University Yuxi 653100 China Department of Physics and Pre-Engineering Delaware State University Dover DE 19901-2277 USA Department of Mathematical Sciences Delaware State University Dover DE 19901-2277USA

In this paper, the Klein-Gordon equation （KGE） with power law nonlinearity will be considered. The bifurcation analysis as well as the ansatz method of integration will be applied to extract soliton and other wave solutions. In particular, the second approach to integration will lead to a singular soliton solution. However, the bifurcation analysis will reveal several other solutions that are of prime importance in relativistic quantum mechanics where this equation appears.

关键词： Bifurcation method Klein-Gordon equation (KGE) traveling wave solution

Chirped Bright and Kink Solitons in Nonlinear Optical Fibers with Weak Nonlocality and Cubic-Quantic-Septic Nonlinearity

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Chinese Physics Letters 2022年第4期39卷 12-16页

作者：周勤钟毓 Houria Triki 孙运周徐四六刘文军 anjan biswas Research Center of Nonlinear Science School of Mathematical and Physical SciencesWuhan Textile UniversityWuhan 430200China Radiation Physics Laboratory Department of PhysicsFaculty of SciencesBadji Mokhtar UniversityP.O.Box 1223000 AnnabaAlgeria School of Electronic and Information Engineering Hubei University of Science and TechnologyXianning 437100China State Key Laboratory of Information Photonics and Optical Communications School of ScienceBeijing University of Posts and TelecommunicationsBeijing 100876China Beijing University of Posts and Telecommunications Research Institute Shenzhen 518057China Department of Physics Chemistry and MathematicsAlabama A&M UniversityNormalAL 35762-4900USA Mathematical Modeling and Applied Computation(MMAC)Research Group Department of MathematicsKing Abdulaziz UniversityJeddah 21589Saudi Arabia

This work focuses on chirped solitons in a higher-order nonlinear Schrodinger equation,including cubic-quinticseptic nonlinearity,weak nonlocal nonlinearity,self-frequency shift,and self-steepening *** the first time,analytical bright and kink solitons,as well as their corresponding chirping,are *** influence of septic nonlinearity and weak nonlocality on the dynamical behaviors of those nonlinearly chirped solitons is thoroughly *** findings of the study give an experimental basis for nonlinear-managed solitons in optical fibers.

关键词： effect nonlinearity solitons

Vector Spatiotemporal Solitons and Their Memory Features in Cold Rydberg Gases

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Chinese Physics Letters 2022年第3期39卷 22-27页

作者：赵元雷允彬徐羽茜徐四六 Houria Triki anjan biswas 周勤 School of Electronic and Information Engineering Hubei University of Science and TechnologyXianning 437100China School of International Education Wuhan University of TechnologyWuhan 430071China Radiation Physics Laboratory Department of PhysicsFaculty of SciencesBadji Mokhtar UniversityP.O.Box 1223000 AnnabaAlgeria Department of Physics Chemistry and MathematicsAlabama A&M UniversityNormalAL 35762-4900USA Mathematical Modeling and Applied Computation(MMAC)Research Group Department of MathematicsKing Abdulaziz UniversityJeddah 21589Saudi Arabia School of Mathematical and Physical Sciences Wuhan Textile UniversityWuhan 430200China

We propose a scheme to generate stable vector spatiotemporal solitons through a Rydberg electromagnetically induced transparency(Rydberg-EIT)***-dimensional vector monopole and vortex solitons have been found under three nonlocal *** numerical calculation and analytical solutions indicate that these solitons are generated with low energy and can stably propagate along the *** behavior of vector spatiotemporal solitons can be manipulated by the local and nonlocal *** results show a memory feature as these solitons can be stored and retrieved effectively by tuning the control field.

关键词： field Rydberg solitons

Guest Editorial:Special Section on Control Centers for the Evolving Power Grid:Architecture and Applications

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Journal of Modern Power Systems and Clean Energy 2022年第2期10卷 I0001-I0002页

作者： anjan Bose Patrick Panciatici Xin Shan Washington State University PullmanUSA RTE ParisFrance NARI Group Corporation(State Grid Electric Power Research Institute) NanjingChina

THE world-wide drive to decrease greenhouse gases in the atmosphere is rapidly changing the mix of fuel resources that are used to generate *** percentage of fossil fuels,especially coal,is declining while the percentage of renewable resources,like wind and solar,is *** generation mix has always depended on the avail-ability of different fuels in different regions,like the availability of hydro or the acceptability of nuclear power,and the recent changes also depend on this geography,like the radiance of the sun or the intensity of the *** these changes will lead to different architectures in the evolving power grid,some trends are already being felt.

关键词： Power gases fuels

Identification of parameter to assess cracking resistance of asphalt mixtures subjected to aging and moisture conditioning

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Journal of Traffic and Transportation Engineering(English Edition) 2022年第2期9卷 293-304页

作者： Bhaskar Pratim Das anjan Kumar Siddagangaiah Department of Civil Engineering Indian Institute of Technology GuwahatiGuiuahati 781039India

This study comprehensively evaluated different parameters based on tensile strength testing to assess the cracking resistance of asphalt mixtures subjected to aging and moisture *** this purpose,two sources of aggregates were selected to produce hot and warm mix asphalt *** mixtures were subjected to short term and long term aging,three levels of moisture conditioning(freeze thaw cycles),and tested at two temperatures(15℃and 25℃).The load-displacement data was used to determine the fracture work density,fracture energy,toughness index,cracking resistance index,cracking tolerance index,and rate dependent cracking *** was noticed that moisture conditioning increased the variability of the different *** cracking tolerance index and rate dependent cracking index parameter had a much higher coefficient of variation(Co V)with a maximum value close to 50%.Indirect tensile strength,fracture energy,and fracture work density appropriately captured the effect of moisture on cracking resistance of *** cracking resistance index,cracking tolerance index,and rate dependent cracking index increased with an increase in the moisture conditioning *** Statistical analysis showed that tensile strength,fracture work density,and fracture energy were significantly influenced by different aging and moisture conditions *** energy showed better association with fatigue life of asphalt mixtures subjected to three freeze-thaw cycles compared to tensile ***,the fatigue life prediction models showed that both indirect tensile strength and fracture energy significantly influence the fatigue life of asphalt mixtures subjected to aging and moisture conditioning.

关键词： Cracking resistance Aging Moisture Warm mix additive Fatigue life

Biomaterial types,properties,medical applications,and other factors:a recent review

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2023年第11期24卷 1027-1042页

作者： Reeya AGRAWAL anjan KUMAR Mustafa K.A.MOHAMMED Sangeeta SINGH VLSI Research Centre GLA University281406 MathuraIndia Radiological Techniques Department Al-Mustaqbal University College51001 HillahBabylonIraq Microelectronics&VLSI Lab National Institute of TechnologyPatna 800005India

Biomaterial research has been going on for several years,and many companies are heavily investing in new product ***,it is a contentious field of *** science is a field that combines materials science and *** replacement or restoration of damaged tissues or organs enhances the patient’s quality of *** deciding aspect is whether or not the body will accept a biomaterial.A biomaterial used for an implant must possess certain qualities to survive a long *** a biomaterial is used for an implant,it must have specific properties to be long-lasting.A variety of materials are used in biomedical *** are widely used today and can be used individually or in *** review will aid researchers in the selection and assessment of *** using a biomaterial,its mechanical and physical properties should be *** biomaterials have a structure that closely resembles that of ***infective biomaterials and surfaces are being developed using advanced antifouling,bactericidal,and antibiofilm *** review tries to cover critical features of biomaterials needed for tissue engineering,such as bioactivity,self-assembly,structural hierarchy,applications,heart valves,skin repair,bio-design,essential ideas in biomaterials,bioactive biomaterials,bioresorbable biomaterials,biomaterials in medical practice,biomedical function for design,biomaterial properties such as biocompatibility,heat response,non-toxicity,mechanical properties,physical properties,wear,and corrosion,as well as biomaterial properties such surfaces that are antibacterial,nanostructured materials,and biofilm disrupting compounds,are all being *** is technically possible to stop the spread of implant infection.

关键词： Surface severe plastic deformation(SSPD) Hyaluronan(HA) Extracellular matrix(ECM) Polyvinylchloride(PVC) Tissue engineering(TE)

An Auction-Based Recommender System for Over-The-Top Platform

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Computers, Materials & Continua 2022年第3期70卷 5285-5304页

作者： Hameed AlQaheri anjan Bandyopadhay Debolina Nath Shreyanta Kar Arunangshu Banerjee Kuwait University Kuwait Amity University Kolkata Kolkata700135India

In this era of digital domination,it is fit to say that individuals are more inclined towards viewership on online platforms due to the wide variety and the scope of individual preferences it *** the past few years,there has been a massive growth in the popularity of Over-The-Top platforms,with an increasing number of consumers adapting to *** Covid-19 pandemic has also caused the proliferation of these services as people are restricted to their *** are often in a dilemma about which subscription plan to choose,and this iswhere a recommendation systemmakes their task *** Subscription recommendation system allows potential users to pick the most suitable and convenient plan for their daily consumption from diverse OTT *** economic equilibrium behind allocating these resources follows a unique voting and bidding system propped by us in this *** systemis dependent on two types of individuals,type 1 seeking the recommendation plan,and type 2 suggesting *** our study,the system collaborates with the latterwho participate in voting and invest/bid in the available options,keeping in mind the user *** architecture runs on an interface where the candidates can login to participate at their *** a result,selective participants are awarded monetary gains considering the rules of the suggested mechanism,and the most voted subscription plan gets recommended to the user.

关键词： Recommendation systems over-the-top platforms subscription allocation auction theory