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Classification of Variational Conservation Laws of General Plane Symmetric Spacetimes

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Communications in Theoretical Physics 2017年第9期67卷 335-341页

作者： Usamah S.Al-Ali Ashfaque h.Bokhari a.h.kara Ghulam Shabbir Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals School of Mathematics University of the Witwatersrand Faculty of Engineering Sciences GIK Institute of Engineering Sciences and Technology

In this article we discuss Noether conservation laws admitted by a Lagrangian L = gab(dx^a/ds)(dx^b/ds)of a test particle moving in the field of a general plane symmetric non-static spacetime metric. In this context, we first present a general solution representing a Noether symmetry vector subject to differential constraints satisfied by the general plane symmetric non-static metric. We then use a class of plane symmetric non-static metrics obtained by Feroze et al. and discuss, in each case, Noether conservation laws in comparison with Killing symmetries.

关键词： conservation laws Noether symmetries plane symmetric spacetimes

Group Analysis, Fractional Explicit Solutions and Conservation Laws of Time Fractional Generalized Burgers Equation

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Communications in Theoretical Physics 2018年第1期69卷 5-8页

作者： Gang-Wei Wang A. h. kara School of Mathematics and Statistics Hebei University of Economics and Business Shijiazhuang 050061 China School of Mathematics University of the Witwatersrand Private Bag 3 Wits 2050 Johannesburg South Afric

The generalized fractional Burgers equation is studied in this paper. Using the classical Lie symmetry method, all of the vector fields and symmetry reduction of the equation with nonlinearity are constructed. In particular, an exact solution ＆ provided by using the ansatz method. In addition, other types of exact solution are obtained via the invariant subspace method. Finally, conservation laws for this equation are derived.

关键词： time fractional generalized Burgers equation Lie symmetry method explicit solutions conservation laws

Phenolic profile and investigation of biological activities of Allium scorodoprasum ***

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Food Bioscience 2022年第2期46卷 456-467页

作者： Tu˘gba Demir Ozlem Akpınar haki kara hüseyin Güngor Sivas Cumhuriyet University Faculty of VeterinaryFood Hygiene and TechnologySivasTurkey Tokat Gaziosmanpas¸a University Faculty of Architecture and EngineeringDepartment of Food EngineeringTokatTurkey Sivas Cumhuriyet University Faculty of VeterinaryPharmacology and ToxicologySivasTurkey

In this study,phenolic profile of Allium scorodoprasum *** and its bioactivity in multiway approach including antioxidant,antimicrobial,antidiabetic,cytotoxic and antiinflamatory activities were *** extraction of phenolic and flavonoid compounds from Allium scorodoprasum *** was optimized as a function of ethanol percentage,extraction temperature and extraction time by employing a response surface *** optimal extraction conditions were found as 79℃extraction temperature,28%ethanol and 118 min duration of the *** was determined as the major phenolic compound of the extract obtained under the optimal conditions and followed by vanillic,caffeic,2,4 hydroxybenzoic and ellagic *** addition to high antioxidant capacity,the obtained extract showed antimicrobial activity,against different bacteria and *** concentrations of the extract obtained at the optimal conditions that inhibited 50%of Aspergillus oryzae and pancreaticα-amylases andα-glycosidase activities were calculated as 11.56,14.35 and 19.35 mg extract/mL,*** antiinflammatory effect of the obtained extract was also examined,and it was more inhibitory against xanthine oxidase activity than against lipoxygenase *** cytotoxicity of the optimized extract was observed against breast and bone cancer cells,and it showed significant cytotoxic activity especially on bone cancer *** a result,Allium scorodoprasum *** could serve as a promising source of natural bioactive compounds for application in food and non-food products.

关键词： Allium Phenolic compound Antioxidant Antimicrobial Cytotoxic

Consistent Burgers equation expansion method and its applications to high-dimensional Burgers-type equations

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Communications in Theoretical Physics 2022年第8期74卷 35-40页

作者： Gangwei Wang Li Li a.h.kara School of Mathematics and Statistics Hebei University of Economics and BusinessShijiazhuang 050061China Library Hebei University of Economics and BusinessShijiazhuang 050061China School of Mathematics University of the WitwatersrandPrivate Bag 3Wits 2050JohannesburgSouth Africa

In this paper,a novel method,named the consistent Burgers equation expansion(CBEE)method,is proposed to solve nonlinear evolution equations(NLEEs)by the celebrated Burgers *** are said to be CBEE solvable if they are satisfied by the CBEE *** order to verify the effectiveness of the CBEE method,we take(2+1)-dimensional Burgers equation as an *** the(1+1)-dimensional Burgers equation,many new explicit solutions of the(2+1)-dimensional Burgers equation are *** obtained results illustrate that this method can be effectively extended to other NLEEs.

关键词： Burgers-type equations consistent Burgers equation expansion(CBEE)method CBEE solvability explicit solutions

An Analysis of the Invariance and Conservation Laws of Some Classes of Nonlinear Ostrovsky Equations and Related Systems

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Chinese Physics Letters 2011年第1期28卷 1-4页

作者： K. Fakhar A. h. kara Department of Mathematics Faculty of Science Universiti Teknologi Malaysia 81310 UTM Skudai Johor Malaysia School of Mathematics and Centre for Differential Equations Continuum Mechanics and Applications University of the Witwatersrand Johannesburg P Bag 3 Wits 2050 South Africa

A large class of partial differential equations in the modelling of ocean waves are due to Ostrovsky. We determine the invariance properties （through the Lie point symmetry generators） and construct classes of conservation laws for some of the models. In the latter case, the method involves finding the ＇multipliers＇ associated with the conservation laws with a stronger emphasis on the ＇higher-order＇ ones. The relationship between the symmetries and conservation laws is investigated by considering the invariance properties of the multipliers.

关键词： Mathematical physics Statistical physics and nonlinear systems

A Note on the Invariance Properties and Conservation Laws of the Kadomstev–Petviashvili Equation with Power Law Nonlinearity

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Chinese Physics Letters 2011年第9期28卷 10-11页

作者： A h Bokhari F D Zaman K Fakhar a.h.kara Department of Mathematical Sciences King Fahd University of Petroleum and MineralsDhahran 31261Saudi Arabia Department of Mathematics Faculty of ScienceUniversiti Teknologi Malaysia81310 UTM SkudaiJohorMalaysia Ibnu Sina Institute for Fundamental Science Studies Universiti Teknologi Malaysia81310 UTM SkudaiJohorMalaysia School of Mathematics University of the WitwatersrandJohannesburgWits 2050South Africa

First,we studied the invariance properties of the Kadomstev–Petviashvili equation with power law ***,we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the *** point symmetry generators were also used to reduce the equation to an exact solution and to verify the invariance properties of the conserved flows.

关键词： equation conserved equation

SOLITONS AND CONSERVATION LAWS IN NEUROSCIENCES

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International Journal of Biomathematics 2013年第3期6卷 101-107页

作者： AN JAN BISWAS ABDUL h. kara MIChELLE SAVESCU AShFAQUE h. BOKhARI F. D. ZAMAN Department of Mathematical Sciences Delaware State University Dover DE 19901-2277 USA Department of Mathematics Faculty of ScienceKing Abdulaziz University Jeddah Saudi Arabia School of Mathematics Centre for Differential EquationsContinuum Mechanics and Applications University of the Witwatersrand Johannesburg Wits 2050 South Africa Department of Mathematics Kuztown University of Pennsylvania 15200 Kutztown Road Kuztown PA 19530 USA ~Department of Mathematics and StatisticsKing Fahd University of Petroleum and Minerals Dhahran 31261 Saudi Arabia

This paper obtains the 1-soliton solution by the ansatz method for the proposed model that governs the propagation of solitons through the neurons. This model is an improved one that describes the solitons in neurosciences more accurately. The ansatz method is applied to obtain the 1-soliton solution to the model. The Lie symmetry analysis is subsequently applied to obtain the conservation laws for the model.

关键词： Solitons integrability conservation laws neuroscience.

Current strategies to diagnose and manage positive surgical margins and local recurrence after partial nephrectomy

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Asian Journal of Urology 2022年第3期9卷 227-242页

作者： Umberto Carbonara Daniele Amparore Cosimo Gentile Riccardo Bertolo Selcuk Erdem Alexandre Ingels Michele Marchioni Constantijn h.J.Muselaers Onder kara Laura Marandino Nicola Pavan Eduard Roussel Angela Pecoraro Fabio Crocerossa Giuseppe Torre Riccardo Campi Pasquale Ditonno European Association of Urology(EAU) Young Academic Urologists(YAU)Renal Cancer Working Group Department of Emergency and Organ Transplantation-Urology Andrology and Kidney Transplantation UnitUniversity of BariBariItaly Division of Urology Department of OncologySchool of MedicineSan Luigi HospitalUniversity of TurinOrbassanoTurinItaly Department of Urology San Carlo Di Nancy HospitalRomeItaly Division of Urologic Oncology Department of UrologyIstanbul University Istanbul Faculty of MedicineIstanbulTurkey Department of Urology University Hospital Henri MondorAPHPCreteilFrance Department of Urology SS Annunziata Hospital"G.D’Annunzio"University of ChietiChietiItaly Department of Urology Radboud University Medical CenterNijmegenthe Netherlands Department of Urology Kocaeli University School of MedicineKocaeliTurkey Department of Medical Oncology IRCCS Ospedale San RaffaeleVita-Salute San Raffaele UniversityMilanItaly Urology Clinic Department of MedicalSurgical and Health ScienceUniversity of TriesteTriesteItaly Department of Urology University Hospitals LeuvenLeuvenBelgium Department of Urology Magna Graecia University of CatanzaroCatanzaroItaly Unit of Urological Robotic Surgery and Renal Transplantation University of FlorenceCareggi HospitalFlorenceItaly

Objective:No standard strategy for diagnosis and management of positive surgical margin(PSM)and local recurrence after partial nephrectomy(PN)are reported in *** review aims to provide an overview of the current strategies and further perspectives on this patient ***:A non-systematic review of the literature was *** research included the most updated articles(about the last 10 years).Results:Techniques for diagnosing PSMs during PN include intraoperative frozen section,imprinting cytology,and other specific *** clear evidence is reported about these *** PSM management,active surveillance with a combination of imaging and laboratory evaluation is the first option line followed by *** local recurrence management,surgery is the primary curative approach when possible but it may be technically difficult due to anatomy resultant from previous *** this scenario,thermal ablation(TA)may have the potential to circumvent these limitations representing a less invasive *** surgery represents a valid option;six studies analyzed the outcomes of nephrectomy on local recurrence after PN with three of these focused on robotic ***all,complication rates of salvage surgery are higher compared to TA but ablation presents a higher recurrence rate up to 25%of cases that can often be managed with repeat ***:Controversy still exists surrounding the best strategy for management and diagnosis of patients with PSMs or local recurrence after *** surveillance is likely to be the optimal first-line management option for most patients with *** and salvage surgery both represent valid options in patients with local recurrence after ***,salvage PN and radical nephrectomy have fewer recurrences but are associated with a higher complication rate compared to *** this scenario,robotic surgery plays an important role in improving salvage PN and radical nephrectom

关键词： Positive surgical margin Local recurrence Partial nephrectomy Radical nephrectomy Robot-assisted partial nephrectomy

Potential benefit of lymph node dissection during radical nephrectomy for kidney cancer:A review and critical analysis of current literature

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Asian Journal of Urology 2022年第3期9卷 215-226页

作者： Michele Marchioni Daniele Amparore Igino Andrea Magli Riccardo Bertolo Umberto Carbonara Selcuk Erdem Alexandre Ingels Constantijn h.J.Muselaers Onder kara Marco Mascitti Tobias Klatte Maximilian Kriegmair Nicola Pavan Eduard Roussel Angela Pecoraro Laura Marandino Riccardo Campi Luigi Schips Department of Urology SS Annunziata Hospital“G.D’Annunzio”University of ChietiChietiItaly Division of Urology Department of OncologySchool of MedicineSan Luigi HospitalUniversity of TurinOrbassanoTurinItaly Department of Urology San Carlo Di Nancy HospitalRomeItaly Department of Emergency and Organ Transplantation-Urology Andrology and Kidney Transplantation UnitUniversity of BariBariItaly Division of Urologic Oncology Department of UrologyIstanbul University Istanbul Faculty of MedicineIstanbulTurkey Department of Urology University Hospital Henri MondorAPHPCreteilFrance Department of Urology Radboud University Medical CenterNijmegenthe Netherlands Department of Urology Kocaeli University School of MedicineKocaeliTurkey Department of Urology Royal Bournemouth HospitalBournemouthUK Department of Urology University Medical Centre MannheimMannheimGermany Urology Clinic Department of MedicalSurgical and Health ScienceUniversity of TriesteTriesteItaly Department of Urology University Hospitals LeuvenLeuvenBelgium Department of Medical Oncology Fondazione IRCCS Istituto Nazionale dei TumoriMilanItaly Unit of Urological Robotic Surgery and Renal Transplantation University of FlorenceCareggi HospitalFlorenceItaly

Objective:The role of lymph node dissection(LND)is still controversial in patients with renal cell carcinoma undergoing *** aimed to provide a comprehensive review of the literature about the effect of LND on survival,prognosis,surgical outcomes,as well as patient selection and available LND ***:Recent literature(from January 2011 to December 2021)was assessed through PubMed and MEDLINE databases.A narrative review of most relevant articles was ***:The frequencies in which LNDs are being carried out are decreasing due to an increase in minimally invasive and nephron sparing ***,randomized clinical trials and meta-analyses failed to show any survival advantage of LND versus no ***,retrospective studies suggest a survival benefit of LND in high-risk patients(bulky tumors,T3-4 stage,and cN1 patients).Moreover,extended LND might provide important staging information,which could be of interest for adjuvant treatment ***:No level 1 evidence of any survival advantage deriving from LND is currently available in ***,the role of LND is limited to staging ***,low grade evidence suggests a possible role of LND in high-risk *** clinical trials are warranted to corroborate these findings.

关键词： Renal cell carcinoma Lymph node dissection Radical nephrectomy Salvage lymph node dissection