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The sharma-Tasso-Olver-Burgers equation:its conservation laws and kink solitons

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Communications in Theoretical Physics 2022年第2期74卷 1-8页

作者： K Hosseini A akbulut D Baleanu s salahshour Department of Mathematics Near East University TRNCMersin 10Turkey Department of Mathematics-Computer Art-Science FacultyEskisehir Osmangazi UniversityEskisehirTurkey Department of Mathematics Faculty of Arts and SciencesCankaya UniversityAnkara 06530Turkey Institute of space sciences Magurele-BucharestRomania Faculty of Engineering and Natural sciences Bahcesehir UniversityIstanbulTurkey

The present paper deals with the sharma-Tasso-Olver-Burgers equation(sTOBE)and its conservation laws and kink *** precisely,the formal Lagrangian,Lie symmetries,and adjoint equations of the sTOBE are firstly constructed to retrieve its conservation *** solitons of the sTOBE are then extracted through adopting a series of newly well-designed approaches such as Kudryashov and exponential *** graphs in 2 and 3D postures are formally portrayed to reveal the dynamical features of kink *** to the authors’knowledge,the outcomes of the current investigation are new and have been listed for the first time.

关键词： sharma-Tasso-Olver-Burgers equation conservation laws Kudryashov and exponential methods kink solitons dynamical features

Investigation of micro-scale shear response of sand–rubber granule mixture in terms of particle shape and grain scale deformability effects

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Particuology 2024年第7期90卷 452-469页

作者： Abdulmuttalip Ari suat akbulut Department of Civil Engineering Yildiz Technical UniversityIstanbul34220Turkey

In this study,the effects of particle shape of rigid sand and soft rubber materials on macro-scale shear response were reasoned based on micro-scale *** this purpose,first,the shape properties of three different sand and two different rubber samples were quantified using image processing techniques,and the contact model parameters were calibrated through physical *** direct shear test was simulated in a two-dimensional discrete element software with realistic particle *** soft nature of rubber particles was reflected using body-centered cubic packing with a linear-parallel bond contact *** a result,coordination number,distribution of contact forces(i.e.,strong contact,and fabric anisotropy),and contact sliding were derived by the numerical *** has been observed that the particle shape leads to distinctive micro-scale responses due to the variations in the stiffness of the contacts.

关键词： Particle shape sand Rubber shear response Micro-scale response Discrete element method

Deep learning model for estimating the mechanical properties of concrete containing silica fume exposed to high temperatures

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Frontiers of structural and Civil Engineering 2020年第6期14卷 1316-1330页

作者： Harun TANYILDIZI Abdulkadir sENGUR Yaman akbulut Murat sAHtNa Faculty of Technology Department of Civil EngineeringFirat UniversityElazig 23100Turkey Faculty of Technology Department of Electrical-Electronics EngineeringFir at UniversityElazig 23100Turkey

In this study,the deep learning models for estimating the mechanical properties of concrete containing silica fume subjected to high temperatures were *** fume was used at concentrations of 0%,5%,10%,and 20%.Cube specimens(100 mm×100 mm×100 mm)were prepared for testing the compressive strength and ultrasonic pulse *** were cured at 20℃zb2℃ in a standard cure for 7,28,and 90 *** curing,they were subjected to temperatures of 20℃,200℃,400℃,600℃,and 800℃.Two well-known deep learning approaches,i.e.,stacked autoencoders and long short-term memory(LsTM)networks,were used for forecasting the compressive strength and ultrasonic pulse velocity of concrete containing silica fume subjected to high *** forecasting experiments were carried out using MATLAB deep learning and neural network tools,*** statistical measures were used to validate the prediction performances of both the *** study found that the LsTM network achieved better results than the stacked *** addition,this study found that deep learning,which has a very good prediction ability with little experimental data,was a convenient method for civil engineering.

关键词： concrete high temperature strength properties deep learning stacked auto-encoders LsTM network

BOUNDEDNEss OF FRACTIONAL MAXIMAL OPERATOR AND THEIR HIGHER ORDER COMMUTATORs IN GENERALIZED MORREY sPACEs ON CARNOT GROUPs

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Acta Mathematica scientia 2013年第5期33卷 1329-1346页

作者： Vagif GULIYEV Ali akbulut Yagub MAMMADOV Department of Mathematics Ahi Evran University Institute of Mathematics and Mechanics of NAs of Azerbaijan Nakhchivan Teacher-Training Institute

In the article we consider the fractional maximal operator Mα, 0 ≤α 〈 Q on any Carnot group G （i.e., nilpotent stratified Lie group） in the generalized Morrey spaces Mp,φ（G）, where Q is the homogeneous dimension of G. We find the conditions on the pair （φ1, φ2） which ensures the boundedness of the operator Ms from one generalized Morrey space Mp,φ1 （G） to another Mq,φ2 （G）, 1. 〈 p ≤q 〈 ∞. 1/p - 1/q = α/Q, and from the space M1,φ1 （G） to the weak space Wq,φ2 （G）, 1 〈 q 〈 ∞, 1 - 1/q = α/Q. Also find conditions on the φ which ensure the Adams type boundedness of the Ms from M α （G） from Mp,φ^1/p（G）to Mq,φ^1/q（G） for 1 〈p〈q〈∞ and fromM1,φ（G） toWMq,φ^1/q（G）for 1〈q〈∞. In the case b ∈ BMO（G） and 1 〈 p 〈 q 〈 ∞, find the sufficient conditions on the pair （φ1, φ2） which ensures the boundedness of the kth-order commutator operator Mb,α,k from Mp,φ1 （G） to Mq,φ2（G） with 1/p - 1/q = α/Q. Also find the sufficient conditions on the φ which ensures the boundedness of the operator Mb,α,k from Mp,φ^1/p（G） tom Mp,φ^1/p （G） for 1 〈p〈q〈∞. In all the cases the conditions for the boundedness of Mα are given it terms of supremaltype inequalities on （φ1, φ2） and φ , which do not assume any assumption on monotonicity of （φ1, φ2） and φ in r. As applications we consider the schrsdinger operator -△G ＋ V on G, where the nonnegative potential V belongs to the reverse Holder class B∞（G）. The MB,φ1 - Mq,φ2 estimates for the operators V^γ（-△G ＋ V）^-β and V^γ△↓G（-△G ＋ V）^-β are obtained.

关键词： Carnot group fractional maximal function generalized Morrey space schrodinger operator BMO space

some Remarks Concerning Hyperholomorphic B-Manifolds

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Chinese Annals of Mathematics,series B 2008年第6期29卷 631-640页

作者： Arif sALIMOV Murat IsCAN Kursat akbulut Department of Geometry Baku State University Department of Mathematics Faculty of Arts and Sciences Ataturk University Department of Mathematics Faculty of Arts and SciencesAtaturk University

The authors consider a differentiable manifold with H-structure which is an isomorphic representation of an associative, commutative and unitial algebra. For Riemannian metric tensor fields, the φ-operators associated with r-regular H-structure are introduced. With the help of φ-operators, the hyperholomorphity condition of B-manifolds is established.

关键词： Pure tensor field Interior product Holomorphic tensor B-Manifold

Musical Isomorphisms and Problems of Lifts

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Chinese Annals of Mathematics,series B 2016年第3期37卷 323-330页

作者： Rabia CAKAN Kursat akbulut Arif sALIMOV Department of Mathematics Ataturk University Azerbaijan National Academy of sciences Institute of Mathematics and Mechanics

Using the complete lift on tangent bundles, the authors construct the complete lift on cotangent bundles of tensor fields with the aid of a musical isomorphism. In this new framework, the authors have a new intrepreta... 详细信息

关键词： Tensor fields Cotangent bundles Complete lift Anti-Hermitian metric Riemannian extension

Visualizing ordered bivariate data on node-link diagrams

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Visual Informatics 2023年第3期7卷 22-36页

作者： Osman akbulut Lucy McLaughlin Tong Xin Matthew Forshaw Nicolas s.Holliman school of Computing Newcastle University1 Science SquareNewcastle upon TyneNE45TGUnited Kingdom CUsP London Department of InformaticsKing’s College LondonBush House30 AldwychLondonWC2B 4BGUnited Kingdom Department of Computer Engineering Faculty of EngineeringDuzce UniversityDuzceTurkey

Node-link visual representation is a widely used tool that allows decision-makers to see details about a network through the appropriate choice of visual ***,existing visualization methods are not always effective and efficient in representing bivariate graph-based *** study proposes a novel node-link visual model–visual entropy(Vizent)graph–to effectively represent both primary and secondary values,such as uncertainty,on the edges *** performed two user studies to demonstrate the efficiency and effectiveness of our approach in the context of static nodelink *** the first experiment,we evaluated the performance of the Vizent design to determine if it performed equally well or better than existing alternatives in terms of response time and *** static visual encodings that use two visual cues were selected from the literature for comparison:Width-Lightness,saturation-Transparency,and Numerical *** compared the Vizent design to the selected visual encodings on various graphs ranging in complexity from 5 to 25 edges for three different *** participants achieved higher accuracy of their responses using Vizent and Numerical values;however,both Width-Lightness and saturation-Transparency did not show equal performance for all *** results suggest that increasing graph size has no impact on Vizent in terms of response time and *** performance of the Vizent graph was then compared to the Numerical values *** Wilcoxon signed-rank test revealed that mean response time in seconds was significantly less when the Vizent graphs were presented,while no significant difference in accuracy was *** results from the experiments are encouraging and we believe justify using the Vizent graph as a good alternative to traditional methods for representing bivariate data in the context of node-link diagrams.

关键词： Bivariate network visualization Edge visualization Uncertainty visualization Node-link diagram Quantitative evaluation

Unusual complication in patient with Gardner's syndrome: Coexistence of triple gastrointestinal perforation and lower gastrointestinal bleeding: A case report and review of literature

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World Journal of Clinical Cases 2018年第10期6卷 393-397页

作者： sami akbulut Cemalettin Koc Abuzer Dirican Department of surgery and Liver Transplant Institute Inonu University Faculty of Medicine

Gardner's syndrome(Gs) is a rare syndrome with autosomal dominant inheritance, which is characterized by multiple intestinal polyps, dental anomalies, desmoid tumors, and soft tissue tumors. All gastrointestinal symptoms seen in Gs are associated with the underlying familial adenomatosis polyposis and abdominal desmoid tumors, with the most common symptoms being anemia, lower gastrointestinal bleeding, abdominal pain, diarrhea, obstruction, and mucous defecation. To our best knowledge, no case of Gs that has presented with gastrointestinal perforation and bleeding has ever been reported in the English language medical literature. A 37-year-old male who had been diagnosed with Gs five years earlier was referred to our clinic for lower gastrointestinal bleeding. Despite the absence of a bleeding focus on conventional angiography, the patient was operated on with laparotomy, due to the persistence of both signs and symptoms of mild peritonitis. On the laparotomy, the patient was noted to have areas of perforation in the duodenum, splenic flexura, and midrectum. The third and fourth part of the duodenum, the proximal 15 cm segment of the jejunum, a 10 cm segment of the terminal ileum, the whole colon, and the upper and middle rectum were resected, and duodenojejunal side-to-side anastomosis and terminal ileostomy were performed. The histopathological analysis of the large mass measuring 30 cm × 20 cm was reported as a desmoid tumor. The pathological examination of the tumor foci detected in the colonic specimen revealed poorly differentiated adenosquamous carcinoma.

关键词： Gastrointestinal perforation Gastrointestinal bleeding Adenosquamous carcinoma Complications Gardner’s syndrome

New exact solutions of the Mikhailov-Novikov-Wang equation via three novel techniques

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Journal of Ocean Engineering and science 2023年第1期8卷 103-110页

作者： Arzu akbulut Melike Kaplan Mohammed K.A.Kaabar Mathematics-Computer Department Art-Science FacultyEski¸s ehir Osmangazi UniversityEski¸s ehirTurkey Department of Computer Engineering Engineering and Architecture FacultyKastamonu UniversityKastamonuTurkey Institute of Mathematical sciences Faculty of ScienceUniversity of MalayaKuala Lumpur 50603Malaysia

The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different *** adopted methods are generalized Kudryashov method(GKM),exponential rational function method(ERFM),and modified extended tanh-function method(METFM).some plots of some presented new solutions are represented to exhibit wave *** results in this work are essential to understand the physical meaning and behavior of the investigated equation that sheds light on the importance of investigating various nonlinear wave phenomena in ocean engineering and *** equation provides new insights to understand the relationship between the integrability and water waves’phenomena.

关键词： Exact solutions Generalized Kudryashov method Modified extended tanh-function method symbolic computation PDEs