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Journal of Ocean Engineering and Science 2017年第3期2卷 196-202页

作者： harun-Or roshid Department of Mathematics Pabna University of Science and TechnologyPabnaBangladesh

By using modified simple equation method,we study the generalized RLW equation and symmetric RLW equation,the subsistence of solitary wave,periodic cusp wave,periodic bell wave solutions are *** establish some conditions on the parameters for which the obtained solutions are dark or bright *** proficiency of the methods for constructing exact solutions has been ***,the variety of structure and graphical representation makes the dynamics of the equations visible and provides the mathematical foundation in shallow water,plasma and ion acoustic plasma waves.

关键词： The modified simple equation method The gRLW equation The symmetric RLW equation Periodic cusp wave solutions Periodic bell wave solutions

Closed form soliton solutions of three nonlinear fractional models through proposed improved Kudryashov method

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Chinese Physics B 2021年第5期30卷 192-205页

作者： Zillur Rahman M Zulfikar Ali harun-Or roshid Department of Mathematics Comilla UniversityCumilla-3506Bangladesh Department of Mathematics Rajshahi UniversityRajshahi-6205Bangladesh Department of Mathematics Pabna University of Science and TechnologyPabna-6600Bangladesh

We introduce a new integral scheme namely improved Kudryashov method for solving any nonlinear fractional differential ***,we apply the approach to the nonlinear space-time fractional model leading the wave to spread in electrical transmission lines(s-tfETL),the time fractional complex Schrödinger(tfcS),and the space-time M-fractional Schrödinger-Hirota(s-tM-fSH)models to verify the effectiveness of the proposed *** implementing of the introduced new technique based on the models provides us with periodic envelope,exponentially changeable soliton envelope,rational rogue wave,periodic rogue wave,combo periodic-soliton,and combo rational-soliton solutions,which are much interesting phenomena in nonlinear *** the results disclose that the proposed technique is very effective and straight-forward,and such solutions of the models are much more fruitful than those from the generalized Kudryashov and the modified Kudryashov methods.

关键词： improved Kudryashov method fractional electrical transmission line equation fractional nonlinear complex Schrödinger equation M-fractional Schrödinger-Hirota(s-tM-fSH)

Dynamical interactions between higher-order rogue waves and various forms ofn-soliton solutions(n→∞)of the(2+1)-dimensional ANNV equation

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Chinese Physics B 2020年第11期29卷 391-397页

作者： Md Fazlul Hoque harun-Or-roshid Fahad Sameer Alshammari Department of Mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh Department of Mathematics College of Science at AlkharjPrince Sattam bin Abdulaziz UniversityAlkharjSaudi Arabia

We present new lemmas,theorem and corollaries to construct interactions among higher-order rogue waves,n-periodic waves and n-solitons solutions(n→∞)to the(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov(ANNV)*** examples for theories are given by choosing definite interactions of the wave solutions for the *** particular,we exhibit dynamical interactions between a rogue and a cross bright-dark bell wave,a rogue and a cross-bright bell wave,a rogue and a one-,two-,three-,four-periodic *** addition,we also present multi-types interactions between a rogue and a periodic cross-bright bell wave,a rogue and a periodic cross-bright-bark bell ***,we physically explain such interaction solutions of the model in the 3D and density plots.

关键词： the(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov(ANNV)equation higher-order rogue waves n-solitons periodic waves bright-dark bell waves

Multi-soliton fusion phenomenon of Burgers equation and fission, fusion phenomenon of Sharma-Tasso-Olver equation

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Journal of Ocean Engineering and Science 2017年第2期2卷 120-126页

作者： harun or-roshid M.M.Rashidi Department of Mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems Tongji University4800 Cao An Rd.JiadingShanghai 201804China ENN-Tongji Clean Energy Institute of Advanced Studies China

A direct rational exponential scheme is proposed to construct exact multi-soliton solutions and its fission,fusion phenomena after interaction of the solitons has been *** have considered the Burgers and Sharma-Tasso-Olver equation as two concrete examples to show the fission and fusion of the solitary wave and the solitons,*** improve different structured multi-soliton solutions with possible conditions for fission and fusion of the Burgers and the Sharma-Tasso-Olver equations arises in plasma physics and in ocean *** amplitude and velocity relations between solitons and/or solitary waves before and after interactions are given and a possible condition for fission and fusion is ***,three-dimensional plots of the wave solutions are given to visualize the dynamics of the model.©2017 Shanghai Jiaotong *** by Elsevier B.V.

关键词： Direct rational exponential scheme Burger equation Sharma-Tasso-Olver equation Traveling wave solutions Multi-soliton

Bifurcation Analysis and Bounded Optical Soliton Solutions of the Biswas-Arshed Model

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Computer Modeling in Engineering & Sciences 2023年第6期135卷 2197-2217页

作者： Fahad Sameer Alshammari Md Fazlul Hoque harun-Or-roshid Muhammad Nadeem Department of Mathematics College of Science at AlkharjPrince Sattam bin Abdulaziz UniversityAlkharj11942Saudi Arabia Department of Mathematics Pabna University of Science and TechnologyPabna6600Bangladesh Faculty of Science Yibin UniversityYibin644000China

We investigate the bounded travelling wave solutions of the Biswas-Arshed model(BAM)including the low group velocity dispersion and excluding the self-phase *** integrate the nonlinear structure of the model to obtain bounded optical solitons which pass through the optical fibers in the non-Kerr *** bifurcation technique of the dynamical system is used to achieve the parameter bifurcation sets and split the parameter space into various areaswhich correspond to different phase *** bounded optical solitons and bounded periodic wave solutions are identified and derived conforming to each region of these phase *** also apply the extended sinh-Gordon equation expansion and the generalized Kudryashov integral schemes to obtain additional bounded optical soliton solutions of the BAM *** present more bounded optical shock waves,the bright-dark solitary wave,and optical rogue waves for the structure model via these schemes in different aspects.

关键词： The Biswas-Arshed model the extended sinh-Gordon equation expansion the generalized Kudryashov approach shock wave double solitons optical singular double solitons chirp-free bright-dark double solitons

New solitary wave in shallow water,plasma and ion acoustic plasma via the GZK-BBM equation and the RLW equation

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Propulsion and Power Research 2017年第1期6卷 49-57页

作者： harun-Or roshid Md.Mamunur roshid Nizhum Rahman Mst.Razia Pervin Department of Mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh Department of Natural Sciences Daffodil International UniversityDhaka 1207Bangladesh Department af Mathematics Mawlana Bhashani Science and Technology UniversitySantnsh 1902Bangladesh

This work obtains the disguise version of exact solitary wave solutions of the generalized(2+1)-dimensk>nal Zakharov-Kuznetsov-Benjamin-Bona-Mahony and the regularized long wave equation with some free parameters via modified simple equation method(MSE).Usually the method does not give any solution if the balance number is more than one,but we apply MSE method successfully in different way to carry out the solutions of nonlinear evolution equation with balance number *** some graphical results of the velocity profiles are presented for different values of the material *** is shown that this method,without help of any symbolic computation,provide a straightforward and powerful mathematical tool for solving nonlinear evolution equation.

关键词： The modified simple equation method Exact traveling wave solution Generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony(GZK-BBM) The regularized long wave equation Balance number Nonlinear evolution equations(NLEEs)

Modelling Economic Order Quantities,Considering Buy and Repair Options for Defective Items,and Allowing for Shortages and Inspection Errors

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Journal of the Operations Research Society of China 2021年第4期9卷 757-795页

作者： harunÖztürk Department of Business Administration Faculty of Economics and Administrative SciencesSüleyman Demirel UniversityÇünür32260 IspartaTurkey

Nowadays,it is common for suppliers to be separated from their buyers by great *** means that,if some items in the lot turn out to be defective,the distance makes it uneconomical to order replacements from the original ***,both Type I and Type II errors may occur in the screening process for eliminating defective items and the combination of defective items and inspection errors may lead to *** with these assumptions,this paper develops two distinct *** the first model,defective items are repaired by a local repair shop subject to a repair charge and a mark-up *** the second model,a local supplier replaces the defective with good ones,but at a higher *** expected total profit per cycle is developed,together with the expected cycle time,and,employing the renewal reward theorem,the objective function is derived,from which the optimum values are obtained for the order and shortage *** paper presents numerical results and a discussion for both *** study finds that repairing defective items generally leads to greater total profit than purchasing local replacements.

关键词： Economic order quantity Inspection errors Optimization Gaussian numerical integration Shortages Repair/emergency purchase

SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m

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Acta Mathematica Scientia 2007年第2期27卷 254-266页

作者： harun Polat Feyzi Basar Innü niversitesi Adiyaman Fen-Edebiyat Fakültesi 02040-Adiyaman Turkey Innü niversitesi E■itim Fakültesi 44280-Malatya Turkey

Kizmaz [13] studied the difference sequence spaces ∞（A）, c（A）, and co（A）. Several article dealt with the sets of sequences of m-th order difference of which are bounded, convergent, or convergent to zero. Altay and Basar [5] and Altay, Basar, and Mursaleen [7] introduced the Euler sequence spaces e0^r, ec^r, and e∞^r, respectively. The main purpose of this article is to introduce the spaces e0^r△^（m））, ec^r△^（m））, and e∞^r△^（m））consisting of all sequences whose mth order differences are in the Euler spaces e0^r, ec^r, and e∞^r, respectively. Moreover, the authors give some topological properties and inclusion relations, and determine the α-, β-, and γ-duals of the spaces e0^r△^（m））, ec^r△^（m））, and e∞^r△^（m））, and the Schauder basis of the spaces e0^r△^（m））, ec^r△^（m））. The last section of the article is devoted to the characterization of some matrix mappings on the sequence space ec^r△^（m））.

关键词： Difference sequence spaces of order m Schauder basis the α- β- and γ-duals matrix mappings

A novel approach to structural anisotropy classification for jointed rock masses using theoretical rock quality designation formulation adjusted to joint spacing

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Journal of Rock Mechanics and Geotechnical Engineering 2022年第2期14卷 329-345页

作者： harun Sonmez Murat Ercanoglu Gulseren Dagdelenler Applied Geology Division Geological Engineering DepartmentFaculty of EngineeringHacettepe UniversityBeytepeAnkara06800Turkey

Rock quality designation(RQD)has been considered as a one-dimensional jointing degree property since it should be determined by measuring the core lengths obtained from *** index of jointing degree(AI_(jd))was formulated by Zheng et al.(2018)by considering maximum and minimum values of RQD for a jointed rock medium in three-dimensional *** accordance with spacing terminology by ISRM(1981),defining the jointing degree for the rock masses composed of extremely closely spaced joints as well as for the rock masses including widely to extremely widely spaced joints is practically impossible because of the use of 10 cm as a threshold value in the conventional form of *** overcome this limitation,theoretical RQD(TRQD_(t))introduced by Priest and Hudson(1976)can be taken into consideration only when the statistical distribution of discontinuity spacing has a negative exponential *** index of the jointing degree was improved using TRQD_(t) which was adjusted to wider joint spacing by considering Priest(1993)’s recommendation on the use of variable threshold value(t)in TRQD_(t) *** applications of the improved anisotropy index of a jointing degree(AI'_(jd))to hypothetical jointed rock mass cases,the effect of persistency of joints on structural anisotropy of rock mass was introduced to the improved AI'_(jd) formulation by considering the ratings of persistency of joints as proposed by Bieniawski(1989)’s rock mass rating(RMR)*** real cases were assessed in the stratified marl and the columnar basalt using the weighted anisotropy index of jointing degree(W_AI'_(jd)).A structural anisotropy classification was developed using the RQD classification proposed by Deere(1963).The proposed methodology is capable of defining the structural anisotropy of a rock mass including joint pattern from extremely closely to extremely widely spaced joints.

关键词： Anisotropy index of jointing degree Anisotropy of rock mass Rock mass classification Jointing degree Theoretical rock quality designation

Optimal fusion‐based localization method for tracking of smartphone user in tall complex buildings

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CAAI Transactions on Intelligence Technology 2023年第4期8卷 1104-1123页

作者： harun Jamil Do‐Hyeun Kim Department of Electronics Engineering Jeju National UniversityJeju‐SiRepublic of Korea Department of Computer Engineering Jeju National UniversityJeju‐SiRepublic of Korea

In the event of a fire breaking out or in other complicated situations,a mobile computing solution combining the Internet of Things and wearable devices can actually assist tracking solutions for rescuing and evacuating people in multistory ***,it is crucial to increase the positioning technology's *** sequential Monte Carlo(SMC)approach is used in various applications such as target tracking and intelligent surveillance,which rely on smartphone‐based inertial data ***,the SMC method has intrinsic flaws,such as sample impoverishment and particle degeneracy.A novel SMC approach is presented,which is built on the weighted differential evolution(WDE)*** Monte Carlo approaches start with random particle placements and arrives at the desired distribution with a slower variance reduction,like in a high‐dimensional space,such as a multistory *** differential evolution is included before the resampling procedure to guarantee the appropriate variety of the particle set,prevent the usage of an inadequate number of valid samples,and preserve smartphone user position *** values of the smartphone‐based sensors and BLE‐beacons are set as input to the SMC,which aids in fast approximating the posterior distributions,to speed up the particle congregation process in the proposed SMC‐based WDE ***,the robustness and efficacy of the suggested technique more accurately reflect the actual situation of smartphone *** to simulation findings,the suggested approach provides improved location estimation with reduced localization error and quick *** results confirm that the proposed optimal fusion‐based SMC‐WDE scheme performs 9.92%better in terms of MAPE,15.24%for the case of MAE,and 0.031%when evaluating based on the R2 Score.

关键词： 2‐D adaptive intelligent systems adaptive systems artificial immune system artificial intelligence techniques