Pramana最新文献_第10页

Continuous limit, higher-order rational solutions and relevant dynamical analysis for Belov–Chaltikian lattice equation with 3(times )3 Lax pair 具有3 (times ) 3 Lax对的Belov-Chaltikian格方程的连续极限、高阶有理解及其动力学分析

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-31 DOI: 10.1007/s12043-022-02502-z

Ting Zhang, Xiao-Yong Wen, Xue-Ke Liu

引用次数: 1

Finding non-local and contact/dynamical symmetries of Riccati chain 寻找Riccati链的非局部和接触/动力对称性

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-27 DOI: 10.1007/s12043-022-02496-8

R Mohanasubha, V K Chandrasekar, M Senthilvelan, M Lakshmanan

引用次数: 1

Charged anisotropic model with embedding and a linear equation of state 带嵌入的带电各向异性模型和线性状态方程

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-25 DOI: 10.1007/s12043-022-02503-y

Alberto K Mathias, Jefta M Sunzu, Sunil D Maharaj, Jason M Mkenyeleye

引用次数: 1

Causes of energy density inhomogenisation with (fmathcal {(G)}) formalism 能量密度不均匀化的原因与(fmathcal {(G)})形式主义

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-24 DOI: 10.1007/s12043-022-02501-0

Z Yousaf, M Z Bhatti, A Farhat

引用次数: 0

A study on Darboux polynomials and their significance in determining other integrability quantifiers: A case study in third-order nonlinear ordinary differential equations 达布多项式及其在确定其它可积量词中的意义——以三阶非线性常微分方程为例

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-24 DOI: 10.1007/s12043-022-02507-8

R Mohanasubha, M Senthilvelan

{"title":"A study on Darboux polynomials and their significance in determining other integrability quantifiers: A case study in third-order nonlinear ordinary differential equations","authors":"R Mohanasubha, M Senthilvelan","doi":"10.1007/s12043-022-02507-8","DOIUrl":"10.1007/s12043-022-02507-8","url":null,"abstract":"<div><p>In this paper, we present a method for deriving quantifiers of the extended Prelle–Singer (PS) method using Darboux polynomials for third-order nonlinear ordinary differential equations. By knowing the Darboux polynomials and their co-factors, we extract the extended PS method’s quantities without evaluating the PS method’s determining equations. We consider three different cases of known Darboux polynomials. In the first case, we prove the integrability of the given third-order nonlinear equation by utilising the quantifiers of the PS method from the two known Darboux polynomials. If we know only one Darboux polynomial, then the integrability of the given equation will be dealt as Case 2. Likewise, Case 3 discusses the integrability of the given system where we have two Darboux polynomials and one set of PS method quantity. The established interconnection not only helps in deriving the integrable quantifiers without solving the underlying determining equations, but also provides a way to prove the complete integrability and helps us in deriving the general solution of the given equation. We demonstrate the utility of this procedure with three different examples.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-022-02507-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5273148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Scientific value of the quantum tests of equivalence principle in light of Hilbert’s sixth problem 从希尔伯特第六问题看等效原理的量子检验的科学价值

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-13 DOI: 10.1007/s12043-022-02504-x

Abhishek Majhi, Gopal Sardar

{"title":"Scientific value of the quantum tests of equivalence principle in light of Hilbert’s sixth problem","authors":"Abhishek Majhi, Gopal Sardar","doi":"10.1007/s12043-022-02504-x","DOIUrl":"10.1007/s12043-022-02504-x","url":null,"abstract":"<div><p>In his sixth problem, Hilbert called for an axiomatic approach to theoretical physics with an aim to achieve precision and rigour in scientific reasoning, where logic and language (semantics) of physics play pivotal roles. It is from such a point of view, that we investigate the scientific value of the modern experiments to perform quantum tests of equivalence principle. Determination of Planck constant involves the use of acceleration due to gravity of the Earth (<i>g</i>) that results in the force on a test mass. The equivalence between the inertial mass and gravitational mass of a test object is assumed in the process of logically defining <i>g</i> from the relevant hypotheses of physics. Consequently, if Planck constant is used as input in any experiment (or in the associated theory that finds such an experiment) that is designed to test the equivalence between inertial and gravitational mass, then it is equivalent to establish a scientific truth by implicitly assuming it, i.e. a tautology. There are several notable examples which plague the frontiers of current scientific research which claim to make quantum test of equivalence principle. We question the scientific value of such experiments from Hilbert’s axiomatic point of view. This work adds to the recently reported semantic obstacle in any axiomatic attempt to put ‘quantum’ and ‘gravity’ together, albeit with an experimental tint.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4829131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Numerical solutions of a time-dependent hydromagnetic micropolar dusty fluid between parallel plates through an inclined channel 时变磁微极尘埃流体在平行板间通过倾斜通道的数值解

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-13 DOI: 10.1007/s12043-022-02464-2

Rajesh Kumar Chandrawat, Varun Joshi, Dharmendra Tripathi, Sadia Sadat

{"title":"Numerical solutions of a time-dependent hydromagnetic micropolar dusty fluid between parallel plates through an inclined channel","authors":"Rajesh Kumar Chandrawat, Varun Joshi, Dharmendra Tripathi, Sadia Sadat","doi":"10.1007/s12043-022-02464-2","DOIUrl":"10.1007/s12043-022-02464-2","url":null,"abstract":"<div><p>Numerical simulation of an incompressible micropolar dusty fluid (fluid–particle suspension) is proposed for three types of flows in the inclined channel, i.e., Poiseuille flow, Couette flow and the generalised Couette flow. Although the fluid flow is time-dependent, hydromagnetic and channel walls are parallel to each other. The governing coupled partial differential equations for the flow of non-Newtonian micropolar dusty fluid are formulated in a Cartesian coordinate system and simulated approximately using a modified cubic B-spline differential quadrature method. The effects of ion slip, Hall current, Reynolds number, micropolar material and other important hydrodynamic fluid parameters have been examined on unsteady flow velocity and microrotation characteristics. It is observed that the linear velocity of the fluid and particle rises from the horizontal to the vertical channel, fluids and particle velocities are reduced with increasing Hartmann numbers, whereas they are elevated with increment in the Hall parameter. Findings of the present model can be helpful in various industrial fluid flow applications, particularly in petroleum industries.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4534424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Cosmic evolution in the anisotropic space–time from modified f(R, T) gravity 从修正的f(R, T)引力看各向异性时空中的宇宙演化

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-13 DOI: 10.1007/s12043-022-02492-y

S Noori Gashti, J Sadeghi

引用次数: 1

Sensitivity analysis of the nanofluid flow over a stretching flat surface 纳米流体在拉伸平面上流动的灵敏度分析

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-11 DOI: 10.1007/s12043-022-02493-x

A Shahzad, W A Khan, R Gul

引用次数: 1

Steady-state diffusion with the smooth step dependence of the diffusion coefficient on concentration 稳态扩散，扩散系数与浓度呈光滑阶跃关系

IF 2.8 4区物理与天体物理

Pramana Pub Date : 2023-01-10 DOI: 10.1007/s12043-022-02498-6

S E Savotchenko, A N Cherniakov

引用次数: 0