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Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

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Journal of Ocean Engineering and Science 2022年第6期7卷 565-577页

作者： Sachin Kumar monika Niwas Shubham Kumar Dhiman Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi 110007India

The generalized exponential rational function(GERF)method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov(K S)*** K S equation depicts the occurrence of pressure waves in mixtures of liquid-gas bubbles while accounting for thermal expansion and *** applying the GERF method to the KS equation,we obtain analytic solutions in terms of trigonometric,hyperbolic,and exponential functions,among *** solutions include solitary wave solutions,dark-bright soliton solutions,singular soliton solutions,singular bell-shaped solutions,traveling wave solutions,rational form solutions,and periodic wave *** discuss the two-dimensional and three-dimensional graphics of some obtained solutions under the accurate range space by selecting appropriate values for the involved arbitrary parameters to make this research more *** obtained analytic wave solutions specify the GERF method’s dependability,capability,trustworthiness,and efficiency.

关键词： Solitary wave solutions Closed form solutions GERF technique Dynamical wave structures

Construction of multiple new analytical soliton solutions and various dynamical behaviors to the nonlinear convection-diffusion-reaction equation with power-law nonlinearity and density-dependent diffusion via Lie symmetry approach together with a couple of integration approaches

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Journal of Ocean Engineering and Science 2023年第3期8卷 226-237页

作者： Shoukry El-Ganaini Sachin Kumar monika Niwas Department of Mathematics Faculty of ScienceDamanhour UniversityDamanhour 22514Egypt Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi 110007India Department of Mathematics University of DelhiDelhi 110007India

By taking advantage of three different computational analytical methods:the Lie symmetry analysis,the generalized Riccati equation mapping approach,and the modified Kudryashov approach,we construct multiple new analytical soliton solutions to the nonlinear convection-diffusion-reaction equation(NCDR)with power-law nonlinearity and density-dependent *** symmetry analysis is one of the pow-erful techniques that reduce the higher-order partial differential equation into an ordinary differential equation by reduction of independent *** the Lie group technique,we obtain one-parameter in-variant transformations,determining equations and corresponding vectors for the considered convection-diffusion-reaction *** treating the parameters of the governing equation as constants,the ap-plied methods yield a variety of new closed-form solutions,including inverse function solutions,periodic solutions,exponential function solutions,dark solitons,singular solitons,combo bright-singular solitons,and the combine of bright-dark solitons and dark-bright ***,using the Bäcklund transfor-mation of the generalized Riccati equation and modified Kudryashov method,we can construct multiple solitons and other solutions of the considered *** obtained new solutions of this work demon-strate that the used approaches are powerful and effective in dealing with nonlinear equations,and that these solutions are required to explain many biological and physical *** our obtained solutions of this paper with the ones obtained in the literature,we see that our solutions are new and not reported *** newly formed soliton solutions will be more beneficial in the various dis-ciplines of ocean engineering,plasma physics,and nonlinear sciences.

关键词： Lie symmetry analysis Generalized riccati equation mapping Modified kudryashov approach Nonlinear convection-diffusion-reaction equation Solitary wave solutions Closed form solutions Backlund transformation Exact solution Dynamical wave structures Bäcklund transformation

Transition from radiatively inefficient to cooling dominated phase in two temperature accretion disks around black holes

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Research in Astronomy and Astrophysics 2009年第12期9卷 1331-1342页

作者： monika Sinha S.R.Rajesh Banibrata Mukhopadhyay Astronomy and Astrophysics Program Department of PhysicsIndian Institute of Science

We investigate the transition of a radiatively inefficient phase of a viscous two temperature accreting flow to a cooling dominated phase and vice versa around black holes. Based on a global sub-Keplerian accretion disk model in steady state, including explicit cooling processes self-consistently, we show that general advective accretion flow passes through various phases during its infall towards a black hole. Bremsstrahlung, syn- chrotron and inverse Comptonization of soft photons are considered as possible cooling mechanisms. Hence the flow governs a much lower electron temperature ～10^8 - 10^9.5 K compared to the hot protons of temperature ～10^10.2 - 10^11.8 K in the range of the accretion rate in Eddington units 0.01≤M≤ 100. Therefore, the solutions may potentially explain the hard X-rays and the γ-rays emitted from AGNs and X-ray binaries. We finally compare the solutions for two different regimes of viscosity and conclude that a weakly viscous flow is expected to be cooling dominated compared to its highly viscous counterpart which is radiatively inefficient. The flow is successfully able to reproduce the observed luminosities of the under-fed AGNs and quasars （e.g. Sgr A＊）, ultra-luminous X-ray sources （e.g. SS433）, as well as the highly luminous AGNs and ultra-luminous quasars （e.g. PKS 0743-67） at different combinations of the mass accretion rate and ratio of specific heats.

关键词： accretion accretion disk -- black hole physics -- hydrodynamics -- radia-tive transfer

Abundant different types of exact soliton solution to the (4+1)-dimensional Fokas and (2+1)-dimensional breaking soliton equations

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Communications in Theoretical Physics 2021年第10期73卷 64-80页

作者： Sachin Kumar monika Niwas M S Osman M A Abdou Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi-110007India Department of Mathematics Faculty of ScienceCairo UniversityGiza 12613Egypt Department of Mathematics Faculty of Applied ScienceUmm Alqura UniversityMakkah 21955Saudi Arabia Department of Physics College of SciencesUniversity of BishaP.O.Box 344Bisha 61922Saudi Arabia Department of Physics Faculty of ScienceMansoura University35516 MansouraEgypt

The prime objective of this paper is to explore the new exact soliton solutions to the higher-dimensional nonlinear Fokas equation and(2+1)-dimensional breaking soliton equations via a generalized exponential rational function(GERF) method. Many different kinds of exact soliton solution are obtained, all of which are completely novel and have never been reported in the literature before. The dynamical behaviors of some obtained exact soliton solutions are also demonstrated by a choice of appropriate values of the free constants that aid in understanding the nonlinear complex phenomena of such equations. These exact soliton solutions are observed in the shapes of different dynamical structures of localized solitary wave solutions, singular-form solitons, single solitons,double solitons, triple solitons, bell-shaped solitons, combo singular solitons, breather-type solitons,elastic interactions between triple solitons and kink waves, and elastic interactions between diverse solitons and kink waves. Because of the reduction in symbolic computation work and the additional constructed closed-form solutions, it is observed that the suggested technique is effective, robust, and straightforward. Moreover, several other types of higher-dimensional nonlinear evolution equation can be solved using the powerful GERF technique.

关键词： nonlinear evolution equations soliton solutions exact solutions generalized exponential rational function method solitary waves

Chemical characteristics of trace metals in PM10 and their concentrated weighted trajectory analysis at Central Delhi,India

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Journal of Environmental Sciences 2017年第5期29卷 184-196页

作者： Subhash Chandra monika J.Kulshrestha Ruchi Singh Nahar Singh CSIR-National Physical Laboratory New Delhi 110012 India. Academy of Scientific and Innovative Research (AcSIR) CSIR - National Physical Laboratory (CSIR-NPL) Campus New Delhi 110012 India Present address: Shriram Institute for Industrial Research Delhi 110007 India.

Trace metals associated with PM10 aerosols and their variation during day and nighttime as well as during different seasons have been studied for the year 2012. PCA analysis suggested5 PCs,which accounted for 86.8% cumulative variance. PC1 accounted for 30% with a significant loading of metals of anthropogenic origin,while PC2 showed 28% variance with the loading of metals of crustal origin. These trace metals showed seasonal distinct day and night time characteristics. The concentrations of Cu,Pb,and Cd were found to be higher during nighttime in all the seasons. Only Fe was observed with significantly higher mean concentrations during daytime of all seasons except monsoon. The highest mean values of Cu,Cd,Zn,and Pb during post-monsoon might be attributed to winds advection over the regions of waste/biomass burning and industrial activities in Punjab and Haryana ***,concentration weighted trajectory analysis suggested that metals of crustal origin were contributed by long-range transport while metals of anthropogenic and industrial activities were contributed by regional/local source regions.

关键词： Trace metals Potential source regions Backward trajectory Principal component analysis

Screening for nonalcoholic fatty liver disease-when,who and how?

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World Journal of Gastroenterology 2021年第35期27卷 5803-5821页

作者： Christoph G Dietrich monika Rau Andreas Geier Department of Internal Medicine Bethlehem Health CenterStolberg 52222Germany Department of Internal Medicine II University Hospital WürzburgWürzburg 97080Germany Department of Medicine II University Hospital WürzburgWürzburg 97080Germany

Nonalcoholic fatty liver disease(NAFLD)is becoming a frequent liver disease,especially in patients with metabolic syndrome and especially in Western *** of NAFLD comprise progressive fibrosis,cirrhosis and hepatocellular *** also represents an independent risk factor for cardiovascular disease,extrahepatic neoplasia and other organ damage,such as renal *** the epidemiological importance of the disease,new developments in specific treatment of the disease and the wide availability of noninvasive techniques in estimating steatosis and fibrosis,NAFLD should be subject to screening programs,at least in countries with a high prevalence of the *** review discusses prerequisites for screening,cost-effectiveness,current guideline recommendations,suitability of techniques for screening and propositions for the following questions:Who should be screened?Who should perform screening?How should screening be performed?It is time for a screening program in patients at risk for NAFLD.

关键词： Screening Nonalcoholic fatty liver disease Diabetes Liver fibrosis Cirrhosis

Synthesis and characterization of pyrimidines analogues as anti-Alzheimer's agents

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Journal of Chinese Pharmaceutical Sciences 2017年第11期26卷 834-846页

作者： Yadav Rakesh Maan monika Yadav Divya Department of Pharmacy Banasthali University Banasthali-304022 Rajasthan India

Pyrimidine derivatives have been reported as neuroprotective agents useful for the treatment of various neurodegenerative disorders. In the present study, several pyrimidine analogues have been evaluated as neuroprotective agents in Morris water maze model. It was observed that pyrimidine derivatives 8–17 considerably improve learning, memory, and movement deficits in animal models. Biochemical estimations of brain serum of treated animals revealed suppression of oxidative and nitrosative stress, acetylcholinesterase activity, and other parameters which leads to neurodegeneration of brain. Of all the pyrimidine derivatives, thiomorpholine derivative 8 and piperazine ethanol derivative 17 were found to be the most active neuroprotective agents and produced effects comparable to standard drug rivastigmine in terms of behavioral, biochemical, and molecular aspects.

关键词： Alzheimer's disease Neurodegeneration Pyrimidine derivatives Biochemical tests

Did the Nationalist Government Manipulate the Chinese Bond Market？ A Quantitative Perspective on Short-Term Price Fluctuations of Domestic Government Bonds, 1932-1934

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Frontiers of History in China 2015年第1期10卷 126-144页

作者： Felix Boecking monika Scholz School of History Classics and Archaeology University of Edinburgh Edinburgh EH10 6AJUK Biophysical Sciences Graduate Program Institute for Biophysical Dynamics The University ofChicago Chicago IL 60615 USA

Based on a newly constructed set of data, this paper offers a quantitative perspective on the Nationalist Government＇s relations with China＇s domestic bond markets during the period 1932-34. For all the recent revisionist scholarship on the achievements of Nationalist state-building, the perception of the Nationalist elite as corrupt is still widely accepted. In order to demonstrate the empirical potential of quantitative financial history, this paper tests one particular assertion： that members of the Nationalist elite manipulated the issue price of domestic government bonds in order to enrich themselves and their associates. We test this by calculating two price data correlations： that of a first sample of government bonds, all of them issued before 1932, and that of a second sample of government bonds, which includes bonds issued during the period under review. The price fluctuations of the first sample are correlated with each other to a much higher degree than those of the second sample. This indicates that the prices of bonds in the first sample were reacting similarly to the same range of influences, while the bonds issued during the period under review and included in the second sample were displaying individual price fluctuations. One possible explanation for this is that members of the Nationalist elite enriched themselves or their associates by issuing domestic government bonds at artificially low prices. In sum, the article illustrates both the potential and the limitations of quantitative history： it allows us to test and dismiss a precisely formulated hypothesis about Nationalist corruption, but it is only one possible way in which statistical analysis can be applied and does not cover the wholeDid the Nationalist Government Manipulate the Chinese Bond Market？ realm of state practices

关键词： bond markets Guomindang financial history quantitative methods

Blood concentration of aminothiols in children with relapse of nephrotic syndrome

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世界儿科杂志:英文版 2016年第3期12卷 353-359页

作者： Marcin Tkaczyk monika Miklaszewska Jolanta Lukamowicz Wojciech Fendler Division of Nephrology Polish Mother's Memorial Hospital Research Institute of lodz281/289 Rzgowska st.93-338lodzPoland Department of Pediatric Nephrology Collegium Medicum of Jagiellonian UniversityWielicka 26530-663 KrakowPoland Center of Medical Diagnostics Polish Mother's Memorial Hospital Research Institute of lodzPoland281/289 Rzgowska st.93-338 lodzPoland Medical University of lodz al.Kosciuszki 4lodzPoland

Background:The role of idiopathic nephrotic syndrome(INS)in the pathogenesis of atherosclerosis in childhood has not been clearly ***,antioxidative defense in INS is thought to be *** study aimed to assess the changes of plasma concentration of selected aminothiols in the blood of children with INS at various stages of the ***:This cross-sectional study was conducted in 125 children aged 2-18 *** children were divided into 4 groups:group A,early relapse(n=37);group B,early remission for 4-6 weeks from the onset(n=37);group C,late steroid-free remission(n=31);and group D,long-term remission for 2-5 years(n=20).Control group(E)consisted of 30 age-and gender-matched healthy *** study protocol comprised an analysis of plasma concentrations of glutathione,homocysteine,cysteine and cysteinylglycine by high-performance liquid *** of protein-bound and free aminothiols were *** injury was assessed by thrombomodulin,PAI-1 concentration,and von Willebrand factor ***:The children with INS had unbalanced aminothiol metabolism only in relapse and early remission,that shifted towards increased oxidative *** of cyclosporine A caused a significant increase in homocysteine and cysteine *** in aminothiol metabolism were significantly related to endothelial ***:The fi ndings of this study may be helpful in elucidating the pathogenesis of premature atherosclerosis in patients with INS refractory to the treatment or in the case of frequent relapse.

关键词： aminothiols children cyclosporine A homocysteine nephrotic syndrome