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Invariance analysis for determining the closed-form solutions, optimal system, and various wave profiles for a (2+1)-dimensional weakly coupled B-Type Kadomtsev-Petviashvili equations

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Journal of Ocean Engineering and Science 2023年第2期8卷 133-144页

作者： Setu Rani sachin Kumar Raj Kumar Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi 110007India Department of Mathematics Kirori Mal CollegeUniversity of DelhiDelhi 110007India

In the case of negligible viscosity and surface tension,the B-KP equation shows the evolution of quasione-dimensional shallow-water waves,and it is growingly used in ocean physics,marine engineering,plasma physics,optical fibers,surface and internal oceanic waves,Bose-Einstein condensation,ferromagnetics,and string *** to their importance and applications,many features and characteristics have been *** this work,we attempt to perform Lie symmetry reductions and closed-form solutions to the weakly coupled B-Type Kadomtsev-Petviashvili equation using the Lie classical ***,an optimal system based on one-dimensional subalgebras is constructed,and then all possible geometric vector yields are *** can reduce system order by employing the one-dimensional optimal ***,similarity reductions and exact solutions of the reduced equations,which include arbitrary independent functional parameters,have been *** newly established solutions can enhance our understanding of different nonlinear wave phenomena and *** threedimensional and two-dimensional graphical representations are used to determine the visual impact of the produced solutions with determined parameters to demonstrate their dynamical wave profiles for various examples of Lie *** new solitary waves,kink waves,multiple solitons,stripe soliton,and singular waveforms,as well as their propagation,have been demonstrated for the weakly coupled B-Type Kadomtsev-Petviashvili *** classical method is thus a powerful,robust,and fundamental scientific tool for dealing with *** simulations are also used to prove the effectiveness of the proposed approach.

关键词： Group-invariant solutions Solitary wave solutions Lie group theory 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

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in(3+1)-dimensions with gas bubbles in hydrodynamics and fluids

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Journal of Ocean Engineering and Science 2023年第1期8卷 91-102页

作者： sachin Kumar Ihsanullah Hamid M.A.Abdou Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi 110007India Department of Mathematics College of SciencesUniversity of BishaP.O.Box 344Bisha 61922Saudi Arabia Physics Department Faculty of ScienceMansoura UniversityMansoura 35516Egypt

Nonlinear evolution equations(NLEEs)are frequently employed to determine the fundamental principles of natural *** equations are studied extensively in nonlinear sciences,ocean physics,fluid dynamics,plasma physics,scientific applications,and marine *** generalized exponen-tial rational function(GERF)technique is used in this article to seek several closed-form wave solutions and the evolving dynamics of different wave profiles to the generalized nonlinear wave equation in(3+1)dimensions,which explains several more nonlinear phenomena in liquids,including gas bubbles.A large number of closed-form wave solutions are generated,including trigonometric function solutions,hyper-bolic trigonometric function solutions,and exponential rational functional *** the dynamics of distinct solitary waves,a variety of soliton solutions are obtained,including single soliton,multi-wave structure soliton,kink-type soliton,combo singular soliton,and singularity-form wave *** de-termined solutions have never previously been *** dynamical wave structures of some analyt-ical solutions are graphically demonstrated using three-dimensional graphics by providing suitable values to free *** technique can also be used to obtain the soliton solutions of other well-known equations in engineering physics,fluid dynamics,and other fields of nonlinear sciences.

关键词： Closed-form solutions Dynamical wave patterns Analytic solutions Nonlinear wave equation GERF Method Solitary waves Solitons

A deep learning method for monitoring spatial distributionof cage-free hens

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Artificial Intelligence in Agriculture 2023年第2期8卷 20-29页

作者： Xiao Yang Ramesh Bist sachin Subedi Lilong Chai Department of Poultry Science University of GeorgiaAthensGA 30602USA

The spatial distribution of laying hens in cage-free houses is an indicator of flock's health and *** larger space allows chickens to perform more natural behaviors such as dustbathing,foraging,and perching in cage-free houses,an inherent challenge is evaluating chickens'locomotion and spatial distribution(e.g.,realtime birds'number on perches or in nesting boxes).Manual inspection of hen's spatial distribution requires closer observation,which is labor intensive,time consuming,subject to human errors,and stress causing on ***,an automated monitoring system is required to track the spatial distribution of hens for early detection of animal welfare and health *** this study,a non–intrusive machine vision method was developed to monitor hens'spatial distribution *** improved You Only Look Once version 5(YOLOv5)method was developed and trained to test hens'distribution in research cage-free facilities(e.g.,200 hens per house).The spatial distribution of hens the system monitored includes perch zone,feeding zone,drinking zone,and nesting *** dataset contains a whole growth period of chickens from day 1 to day *** 3000 images were extracted randomly from recorded videos for model training,validation,and *** 2400 images were used for training and 600 images for testing,*** show that the accuracy of the new model were 87–94%for tracking distribution in different zones for different ages of hens/***'age affected the performance of the model as younger birds had smaller body size and were hard to be detected due to blackness or occultation by *** performance of the model was 0.891 and 0.942 for baby chicks(≤10 days old)and older birds(>10 days)in detecting perching behaviors;0.874 and 0.932 in detecting feeding/drinking *** detection happened when the flock density was high(>18 birds/m2)and chicken body was occluded by other facilities(e.g.,nest boxes,feeders,and p

关键词： Cage-free system Precision farming Spatial distribution Deep learning

A Parallel Approach to Discords Discovery in Massive Time Series Data

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Computers, Materials & Continua 2021年第2期66卷 1867-1878页

作者： Mikhail Zymbler Alexander Grents Yana Kraeva sachin Kumar Department of Computer Science South Ural State UniversityChelyabinsk454080Russian

A discord is a refinement of the concept of an anomalous subsequence of a time *** one of the topical issues of time series mining,discords discovery is applied in a wide range of real-world areas(medicine,astronomy,economics,climate modeling,predictive maintenance,energy consumption,etc.).In this article,we propose a novel parallel algorithm for discords discovery on high-performance cluster with nodes based on many-core accelerators in the case when time series cannot fit in the main *** assumed that the time series is partitioned across the cluster nodes and achieved parallelization among the cluster nodes as well as within a single *** a cluster node,the algorithm employs a set of matrix data structures to store and index the subsequences of a time series,and to provide an efficient vectorization of computations on the *** each node,the algorithm processes its own partition and performs in two phases,namely candidate selection and discord refinement,with each phase requiring one linear scan through the *** the local discords found are combined into the global candidate set and transmitted to each cluster ***,a node performs refinement of the global candidate set over its own partition resulting in the local true discord ***,the global true discords set is constructed as intersection of the local true discord *** experimental evaluation on the real computer cluster with real and synthetic time series shows a high scalability of the proposed algorithm.

关键词： Time series discords discovery computer cluster many-core accelerator vectorization

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

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

Effect of varying spatial orientations on build time requirements for FDM process: A case study

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Defence Technology（防务技术） 2017年第2期13卷 92-100页

作者： Sandeep Rathee Manu Srivastava sachin Maheshwari Arshad Noor Siddiquee Division of Manufacturing Processes and Automation Engineering Netaji Subhas Institute of Technology Department of Mechanical Engineering Jamia Millia Islamia A Central University

In this research, effect of varying spatial orientations on the build time requirements for fused deposition modelling process is studied. Constructive solid geometry cylindrical primitive is taken as work piece and modeling is accomplished for it. Response surface methodology is used to design the experiments and obtain statistical models for build time requirements corresponding to different orientations of the given primitive in modeller build volume. Contour width, air gap, slice height, raster width, raster angle and angle of orientation are treated as process parameters. Percentage contribution of individual process parameter is found to change for build time corresponding to different spatial orientations. Also, the average of build time requirement changes with spatial orientation. This paper attempts to clearly discuss and describe the observations with an aim to develop a clear understanding of effect of spatial variations on the build time for Fused Deposition Modelling process. This work is an integral part of process layout optimization and these results can effectively aid designers specially while tackling nesting issues.

关键词： Fused deposition modeling Spatial orientation Process parameters Response Surface Methodology Build time

Eosinophilic gastroenteritis:An unusual type of gastroenteritis

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World Journal of Gastroenterology 2013年第31期19卷 5061-5066页

作者： sachin B Ingle Chitra R Hinge(Ingle) Department of Pathology MIMSR Medical College Maharashtra 4132512 India Department of Physiology MIMSR Medical College Maharashtra 4132512 India

Eosinophilic gastroenteritis(EGE) is a rare disorder characterized by eosinophilic infiltration of the bowel wall with various gastrointestinal *** date only 280 cases have been described in the literature.A high index of suspicion,by excluding other causes of peripheral eosinophilia,is a pre requisite for accurate *** is an uncommon gastrointestinal disease affecting both children and *** was first described by Kaijser in *** may vary depending on location as well as depth and extent of bowel wall involvement and usually runs a chronic relapsing *** condition can respond to low dose steroid therapy,thereby preventing grave complications like ascites and intestinal obstruction that might need surgical *** natural history of EGE has not been well *** gastroenteritis is a chronic,waxing and waning *** and sporadic symptoms can be managed with reassurance and observation,whereas disabling gastrointestinal(GI) symptom flare-ups can often be controlled with oral *** the disease manifests in infancy and specific food sensitization can be identified,the likelihood of disease remission by late childhood is *** obstruction is the most common *** outcomes are rare.

关键词： Eosinophilic gastroenteritis Unusual type Review of literature