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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： Qin Zhou Yu Zhong Houria Triki Yunzhou Sun Siliu Xu Wenjun Liu 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： Yuan Zhao Yun-Bin Lei Yu-Xi Xu Si-Liu Xu Houria Triki anjan biswas Qin Zhou 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

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Propagation of oblique water waves by an asymmetric trench in the presence of surface tension

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Journal of Ocean Engineering and Science 2021年第2期6卷 206-214页

作者： anjan Sasmal Soumen De Department of Applied Mathematics University of Calcutta92A.P.C.RoadKolkata 700009India

An analysis is presented for the propagation of oblique water waves passing through an asymmetric submarine trench in presence of surface tension at the free *** and transmission coefficients are evaluated applying appropriate multi-term Galerkin approximation technique in which the basis functions are chosen in terms of Gegenbauer polynomial of order 1/6 with suitable *** energy identity relation is derived by employing Green’s integral theorem in the fluid region of the *** and transmission coefficients are represented graphically against wave numbers in many figures by varying several *** correctness of the present method is confirmed by comparing the results available in the *** effect of surface tension on water wave scattering is studied by analyzing the reflection and transmission coefficients for a set of *** can be observed that surface tension plays a qualitatively relevant role in the present study.

关键词： Water wave scattering Surface tension Asymmetric trench Gegenbauer polynomial of order 1/6 Galerkin approximation Reflection and transmission coefficients

Human catalase: looking for complete identity

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Protein & Cell 2010年第10期1卷 888-897页

作者： Madhur M.Goyal anjan Basak Department of Biochemistry J.N.Medical CollegeDatta Meghe Insatitute of Medical Sciences(Deemed University)Wardha 442004India

Catalases are well studied enzymes that play critical roles in protecting cells against the toxic effects of hydrogen *** ubiquity of the enzyme and the availability of substrates made heme catalases the focus of many biochemical and molecular biology studies over 100 *** human,this has been implicated in various physiological and pathological *** in proteomics revealed many of novel and previously unknown features of this mysterious enzyme,but some functional aspects are yet to be *** with discussion on future research area,this mini-review compile the information available on the structure,function and mechanism of action of human catalase.

关键词： human catalase structure and function mechanism of action futuristic research area