Mathematical Physics - Science topic

Dear Colleagues, The study of differential equations is a wide field in pure and applied mathematics. All of these fields relate to the properties of various types of differential equations. Pure mathematics investigates the existence and uniqueness of solutions, while applied mathematics enforces a strict justification of how to approximate solu...

The Department of Mathematics, University Center Abdelhafid Boussouf of Mila, Algeria, in collaboration with the Laboratory of Mathematics and their Interactions, organizes the International Conference on Contemporary Mathematics and its Applications (ICCMA 2023). This conference will adopt both online and face-to-face participation. It aims to bri...

a sampling of essays and articles written recently on physics, mathematics, and more, titles and links

The Theory of Complex Functions has been studied by many scientists and its application area has become a very wide subject. Harmonic functions play a crucial role in various fields of mathematics, physics, engineering, and other scientific disciplines. Of course, the main reason for maintaining this popularity is that it has an interdisciplinary f...

This thesis addresses the practical nature and necessity of assumptions for the construction of classical general relativity and its application to Friedmann-Robertson-Walker cosmology. The approach taken is in the realm of mathematical physics with particular emphasis on linearized gravity and stability analysis. The e¤ective radius of the observa...

O presente trabalho, apresenta resultados de um estudo desenvolvido por meio do Programa de Apoio a Iniciação Científica – PAIC, cujo objetivo foi analisar as dificuldades dos acadêmicos da licenciatura em matemática na disciplina de Cálculo Diferencial e Integral I, que contém a disciplina em sua grade curricular no biênio 2020-2021. O estudo se t...

Citation: Arshad, M.; Seadawy, A.R.; Tanveer, M.; Yasin, F. Study on Abundant Dust-Ion-Acoustic Solitary Wave Solutions of a (3+1)-Dimensional Extended Zakharov-Kuznetsov Dynamical Model in a Magnetized Plasma and Its Linear Stability. Fractal Fract. 2023, 7, 691. https:// Abstract: This article examines how shocks and three-dimensional nonlinear d...

In this paper, new types of M-fractional wave solutions of mathematical physics model named as truncated M-fractional (1+1)-dimensional non-linear simplified Modified Camassa-Holm model are achieved by applying the modified simplest equation (MSE), Sardar sub-equation and generalized Kudryashov techniques. The gained solutions containing dark, brig...

Aging is the slowest process in a living organism. During this process, mortality rate increases exponentially due to the accumulation of damage at the cellular level. Cellular senescence is a well-established hallmark of aging, as well as a promising target for preventing aging and age-related diseases. However, mapping the senescent cells in tiss...

The book is devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay. It considers qualitative features of delay differential equations and formulates typical problem statements. Exact, approximate analytical and numerical methods for solving such equations are described, including the method of s...

In this research, we investigate the integrability properties of the Schamel-Korteweg-de Vries (S-KdV) equation, which is important for understanding the effect of electron trapping in the nonlinear interaction of ion-acoustic waves. Using the optimal system, we come over reduced ordinary differential equations (ODEs). To deal with reduced ODEs for...

Disponible en: https://repositorio.unal.edu.co/handle/unal/84682 Este libro acerca la teoría de la elasticidad al estudiante de pregrado de Ingeniería Civil o Mecánica, mediante la introspección física-matemática y la deducción paso a paso de cada una de las ecuaciones fundamentales de la elasticidad. De hecho, lo que el libro clásico de Timoshenk...

The fractional coupled Konno-Onno model, which is frequently used in numerous fields of scientific and engineering disciplines, is being investigated in the current study in order to gain an understanding of complex phenomena and systems. The two main goals of this study are to be accomplished. Firstly, the research aims to identify novel solitons...

The paper proposes a stable method for constructing a normal to a surface given approximately. The normal is calculated as the gradient of the function in the surface equation. As is known, the problem of calculating the derivative is ill-posed. In the paper, an approach is adopted to solving this problem as to the problem of calculating the values...

Solutions of many applied Cauchy problems for ordinary differential equations have one or more multiple zeros on the integration segment. Examples are the equations of special functions of mathematical physics. The presence of multiples of zeros significantly complicates the numerical calculation, since such problems are ill-conditioned. Round-off...

This research paper presents the introduction and investigation of an involute-evolute curve pair within a modified orthogonal frame in the context of 3-dimensional Galilean space denoted as G 3. The proposed methodology involves studying the aforementioned curve pair with respect to the modified orthogonal frame, specifically analyzing their curva...

Nonlinear partial differential equations (NLPDEs) are widely utilized in engineering and physical research to represent many physical processes of naturalistic occurrences. In this paper, we investigate two well-known NLPDEs, namely, the (2 +1)-dimensional first integro-differential KP hierarchy equation and the (2 +1)-dimensional second integro-di...

Background. Developing exact and stable algorithms for solution of inverse problems of mathematical physics is at the leading edge of modern numerical mathematics thanks to rapidly increasing number of applications of such problems in physical and technical sciences as well as some properties of such problems that significantly complicate their sol...

Background. A huge number of mathematical models are called Boussinesq equations; therefore, a wide range of sixth-order Boussinesq equations attracts a lot of attention from outside researchers around the world. Materials and methods. The research studies the classical solution of one nonlinear inverse boundary value problem for linearized sixth-o...

Background. The study is devoted to the analysis of stability in the sense Lyapunov Cohen-Grossberg neural networks with time-dependent delays. To do this, we study the stability of the steady-state solutions of systems of linear differential equations with coefficients depending on time and with delays, time dependent. The cases of continuous and...

Hyperspectral unmixing allows to represent mixed pixels as a set of pure materials weighted by their abundances. Spectral features alone are often insufficient, so it is common to rely on other features of the scene. Matrix models become insufficient when the hyperspectral image is represented as a high-order tensor with additional features in a mu...

We consider some of the main notions of Gibbs measures on subshifts introduced by different communities, such as dynamical systems, probability, operator algebras, and mathematical physics. For potentials with $d$-summable variation, we prove that several of the definitions considered by these communities are equivalent. In particular, when the sub...

It is shown that there is a correspondence between field theory equations such as the Dirac, Shr\H{o}dinger, Maxwell, Einstein equations and closed exterior forms of a certain degree. In this case, the Dirac and Shr\H{o}dinger equations for the wave function correspond to closed exterior forms of zero degree. The Shr\H{o}dinger equation for the sta...

This manuscript presents a new approach to accurately calculating exponential integral function that arises in many applications such as contamination, groundwater flow, hydrological problems and mathematical physics. The calculation is obtained with easily computed components without any restrictive assumptions A detailed comparison of the executi...

The results of literary research of members of Sumy Branch of Scientific Society named after Serhiy Podolyns’kyy are presented, which reveal the uniqueness of literary output of outstanding Ukrainian writer Mykola Rudenko. His literary legacy is unique because the writer used it as a popularization platform of his scientific hypotheses, and ideas;...

In this study, we examine the influence of language on the responses generated by Google Bard. We compare Bard's performance on the VNHSGE dataset in both Vietnamese and English, where English translations were obtained through Google Translate. The comparison covers a range of subjects including Mathematics, Physics, Chemistry, Biology, History, G...

Based on the papers published in the Special Issue of the scientific journal Axioms, here we present the Editorial Article “Computational Mathematics and Mathematical Physics”, the main topics of which include both fundamental and applied research in computational mathematics and differential equations of mathematical physics [...]

Structures consisting of three-layer shells are widely used in various fields of engineering and technology, the construction of nuclear power plants, power and chemical engineering and other areas of the national economy. The aim of the work is to study the issue of energy dissipation during natural vibrations of viscoelastic composite cylindrical...

The special matrix functions have received significant attention in many fields, such as theoretical physics, number theory, probability theory, and the theory of group representations. In 2017, Dwivedi and Sahai introduced the generalized hypergeometric matrix function using matrix parameters and proved the convergence on | z | = 1 {|z|=1} . Recen...

Differential geometric approaches are ubiquitous in several fields of mathematics, physics and engineering, and their discretizations enable the development of network-based mathematical and computational frameworks, which are essential for large-scale data science. The Forman-Ricci curvature (FRC) - a statistical measure based on Riemannian geomet...

This study explores the integration of generative artificial intelligence (AI), specifically large language models, with multi-modal analogical reasoning as an innovative approach to enhance science, technology, engineering, and mathematics (STEM) education. We have developed a novel system that utilizes the capacities of generative AI to transform...

In this paper, an online apparatus was developed for isothermal thermogravimetric measurement of silicide coatings within a wide temperature range (from −180 °C to 2300 °C) based on thermogravimetric analysis. Firstly, the measuring principle and method regarding silicide coatings of this apparatus were studied. Secondly, on the basis of oxidation...

We showed that fermion Spin Lie groups are p−adic, and demonstarted the connection of the spin(1/2) with Iwasawa algebras. We have also defined the p−adic zeta function for spin(1/2) and extended the p−adic integral (Fermionic and Bosonic due to T. Kim) quantum calculus to R(p, q)−deformation and we also did an application to p−adic R(ρ, q)−gamma...

Although many challenges of the 21st century need solutions which are directly connected with the development of new technologies, the preferences of prospective students in Germany are often far from mathematics, physics and chemistry. Moreover, the acceptance and recognition of new achievements in these disciplines are quite low in society, even...

The languages of mathematical physics and modelling are endowed with a rich "grammar of dimensions" that common abstractions of programming languages fail to represent. We propose a dependently typed domain-specific language (embedded in Idris) that captures this grammar. We apply it to explain basic notions of dimensional analysis and Buckingham's...

La teoría de la línealidad relacional sistémica y el método de simplificación relacional para ecuaciones heterogéneas en física y matemáticas Systemic relational lineality theory and the relational simplification method for heterogeneous equations in physics and mathematics Jhon Jairo Mosquera Rodas Resumen-En el presente artículo 1 desarrolla la p...

La presente investigación realizada en la Facultad Regional Multidisciplinaria de Estelí, con el objetivo de validar Bases Orientadoras de la Acción (BOA) para el desarrollo de temas de Física en el Componente Mecánica de la Partícula, que contribuyan al aprendizaje por competencias de los estudiantes de la carrera de Física-Matemática. Es un estud...

Ecuaciones Diferenciales en Derivadas Parciales Ecuaciones de Primer Orden Melio SÁENZ 12 de agosto de 2023 Resumen En muchos problemas de la Física Matemática, de la Economía y de muchas otras disciplinas del conocimiento encontramos problemas y situaciones que pueden ser descritos de manera eficiente mediante ecuaciones diferenciales en derivadas...

(See also published article) Quantum computing arrives. Preceded by Mādhava of Sangamagrāma and other Hindu mathematicians, around 1,500 CE, and our previous work, we show at least 4 quantum properties that are indeed universal in some number systems; here we use them to enable quantum computing. But hype became common today -- an example is given...

The approximation of functions is a cornerstone of applied mathematics and mathematical physics. The interpolation and extrapolation of functions and examination of their asymptotic properties represent many important tasks in these fields. Various approximation methods have been developed in the past two centuries, but continued efforts perhaps in...

In this paper, we succeed at discovering the new exact wave solutions to the truncated M-fractional complex three coupled Maccari’s system by utilizing the Sardar sub-equation scheme. The obtained solutions are in the form of trigonometric and hyperbolic forms. These solutions have many applications in nonlinear optics, fiber optics, deep water-wav...

In this work, we introduce an innovative Markov Chain Monte Carlo (MCMC) classifier, a synergistic combination of Bayesian machine learning and Apache Spark, highlighting the novel use of this methodology in the spectrum of big data management and environmental analysis. By employing a large dataset of air pollutant concentrations in Madrid from 20...

Higher bundles are homotopy coherent generalisations of classical fibre bundles. They appear in numerous contexts in geometry, topology and physics. In particular, higher principal bundles provide the geometric framework for higher-group gauge theories with higher-form gauge potentials and their higher-dimensional holonomies. An ∞-categorical formu...

ill-posed problems;  approximate solutions;  fundamental and regular solutions;  boundary problems;  integral equations;  numerical and analytical methods;  mathematical models;  inverse problems;  nonlinear systems;  fractional calculus;  special function;  mathematics physics;  geomatics;  engineering education;  civil engin...

A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions. This paper presents research on a novel family of multivariate Hermite polynomials associated with Apostol-type Frobenius–Euler polynomials. The study derives the generating expression, o...

This paper addresses discontinuities in the solutions of mathematical physics that describe actual processes and are not observed in experiments. The appearance of discontinuities is associated in this paper with the classical differential calculus based on the analysis of infinitesimal quantities. Nonlocal functions and nonlocal derivatives, which...

A análise das provas do Enade 2017 dos cursos de licenciatura em ciências e matemática permitiu uma reflexão sobre quais temas e abordagens da história e filosofia da ciência (HFC) são importantes na formação docente, do ponto de vista do Inep. Após a seleção e análise dos itens envolvendo conteúdos de HFC, encontramos evidências de que a avaliação...

An integrable system is often formulated as a flat connection, satisfying a Lax equation. It is given in terms of compatible systems having a common solution called the ``wave function" $\Psi$ living in a Lie group $G$, which satisfies some differential equations with rational coefficients. From this wave function, it is usual to define a sequence...

This paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving p-Laplacian and p-pseudo-Laplacian. Using the widely debated results of surjectivity or variational approaches, one may obtain or characterize weak solutions for Dirichlet or Newmann problems for these important ope...

Stochastic thermodynamics provides a conceptual framework for describing the fluctuating behavior of small systems like colloids or biomolecules far from thermodynamic equilibriums but still contacted with a heat bath. In contrast to most literature focusing on the classical paradigm of Carnot engines, we herein study the optimal performance of the...

El presente artículo tiene como objetivo elaborar un estado del Arte de Investigaciones referente a Física Clásica y Moderna en el Período 2016 – 2021 de la Carrera Física Matemática de la UNAN Managua – FAREM Estelí, para proponer las posibles temáticas que se pueden abordar con estudiantes de V año tomando en consideración dos líneas de investiga...

In this article, we discuss the findings of new developments in a class of new triangular functions that blend the quantity functions of the traditional triangular. Considering the significant role played by the triangular functions in applied mathematics, physics, and engineering, it is conceivable to predict that the theory of new triangular func...

Large Language Models (LLMs) have demonstrated remarkable performance on various quantitative reasoning and knowledge benchmarks. However, many of these benchmarks are losing utility as LLMs get increasingly high scores, despite not yet reaching expert performance in these domains. We introduce ARB, a novel benchmark composed of advanced reasoning...

The Laplace transform is a technique used to convert differential equations into algebra, it is often used for the analysis of dynamic systems and inverted pendulum systems. An inverted pendulum is a mechanism that moves objects from one place to another and shows the function of its activity while walking. This system is widely used in various fie...

In this paper, we succeed to discover the new exact wave solutions to the truncated M-fractional complex three coupled Maccari’s system by utilizing the Sardar sub-equation scheme. The obtained solutions are in the form of trigonometric and hyperbolic forms. These solutions have many applications in nonlinear optics, fiber optics, deep water-waves,...

Classical Burgers’ equation is an indispensable dynamical evolution equation that is autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This important model is featured through a nonlinear partial differential equation (NPDE). Furthermore, the model plays a crucial role in many areas of mathematical physics, including,...

The file is a preliminary version of a section to be submitted for the revised version of the Encyclopedia of Mathematical Physics. Abstract: We review the topological classification of free-fermionic Hamiltonians with a spectral gap via real and complex K-theory as popularised by Kitaev. After reviewing complex symmetry classes and the general fo...

The paper studies the issues of existence, absence and uniqueness of nontrivial nonnegative and bounded solution for one class of nonlinear integral equations on the whole line with symmetric and positive kernel. In the class of integral equations under study, the nonlinearity is a monotonic and convex function on the positive part of the real axis...

This investigation employs contemporary computational and numerical techniques to derive analytical and approximate soliton solutions for the Caudrey–Dodd–Gibbon model, which represents a significant variation of the fifth-order Korteweg–de Vries equation. Diverse analytical solutions are constructed, employing distinct formats such as exponential,...

In physics, mathematics, and other disciplines, new integrable equations have been found using the P-test. Novel insights and discoveries in several domains have resulted from this. Whether a solution is oscillatory, decaying, or expanding exponentially can be observed by using the AEM approach. In this work, we examined the integrability of the tr...

Magnetic fields of different astrophysical objects are generated by the dynamo mechanism. Dynamo is based on the alpha-effect and differential rotation, which are described using a system of parabolic equations. Their solution is an important problem in magnetohydrodynamics and mathematical physics. They can be solved assuming exponential growth of...

The extended Kawahara (Gardner Kawahara) equation is the improved form of the Korteweg–de Vries (KdV) equation, which is one of the most significant nonlinear evolution equations in mathematical physics. In that research, the analytical solutions of the conformable fractional extended Kawahara equation were acquired by utilizing the Jacobi elliptic...

Teachers teach more effectively when they are constantly updating their subject content knowledge and pedagogy as well as technology. This requires Continuous Professional Development (CPD) training programmes in order to cope with changing world in terms of nature of science, skills and technology. Therefore, the current study sought to demonstrat...

The article considers the use of case-study method while studying of the topic “Equations with partial derivatives of the hyperbolic type” from the course “Methods of mathematical physics”. The requirements for the educational institutions are outlined in accordance with the concept of mathematical education in Ukraine. The emphasis is placed on th...

In this paper, the history of the appearance of ill-posed problems and the role and essence of these problems in solving various problems of equations of mathematical physics are described in detail. At the present time, the theory and application of ill-posed problems in various fields of science is rapidly developing. When solving ill-posed probl...

The new independent solutions of the nonlinear differential equation with time-dependent coefficients (NDE-TC) are discussed by employing experimental device called a drinking bird whose simple back-and-forth motion develops to water drinking motion. It is remarkable that the solution to a drinking bird equation of motion manifests itself the trans...

The work is devoted to the study of continuation and evaluation of the stability of the solution of the Cauchy problem for the Helmholtz equation in a domain from its known values on the smooth part of the boundary of the domain. The problem under consideration belongs to the problems of mathematical physics, in which there is no continuous depende...

The fractional coupled nonlinear Schrödinger model (FCNLSM) is widely utilized in various fields such as nonlinear optics, optical communication systems, plasmas and mathematical physics. In this study, we aim to achieve three primary objectives. Firstly, we seek to obtain novel soliton solutions for the FCNLSM, which have not been previously repor...

Fractional systems have been widely utilized in various fields, such as mathematics, physics and finance, providing a versatile framework for precise measurements and calculations involving partial quantities. This paper aims to develop a novel polynomial controller for a power system (PS) with fractional-order (FO) dynamics. It begins by studying...

The spectral propinquity is a distance, up to unitary equivalence, on the class of metric spectral triples. We prove in this paper that if a sequence of metric spectral triples converges for the propinquity, then the spectra of the Dirac operators for these triples do converge to the spectrum of the Dirac operator at the limit. We obtain this resul...

This is a collection of my lecture notes on the higher-spin theory course given for students at the Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University. The goal of these lectures is to give an introduction to higher-spin theories accessible to master level students which would enable them to read the higher-spin l...

In this article, we approach a machine-learning method for sensor data processing. This method applies sensor data as input and machine learning through mathematical /physical formulas to figure out the parameters and the regression curve. By using SynaNN (Synaptic Neural Network) we showed how to decide the van der Waals equation and its parameter...

The employment of nonlinear fractional partial differential equations (NLF-PDEs) is not limited to branches of mathematics entirely but also applicable in other science fields such as biology, physics and engineering. This paper derives some solitary wave solutions for the space-time fractional symmetric regularized long wave (SRLW) equation by mea...

Differential equations are expressions that are frequently encountered in mathematical modeling of laws or problems in many different fields of science. It can find its place in many fields such as applied mathematics, physics, chemistry, finance, economics, engineering, etc. They make them more understandable and easier to interpret, by modeling l...

CALL FOR PAPERS (Volume 3 | Issue 7 | July 2023) Dear Author(s), Greetings of the Day! Vol-3, Issue-6 (June 2023) is Online: https://thercsas.com/archives/volume3/ The Review of Contemporary Scientific and Academic Studies (ISSN: 2583-1380) is an international multidisciplinary open-access, peer-reviewed and scholarly refereed e-journal. It publish...

The coupled Drinfeld–Sokolov–Wilson (DSW) equation is a system of nonlinear partial differential equations (NLPDEs) in (1+1)-dimensions that play a fundamental role in soliton theory and integrable systems. Due to its ability to accurately describe wave phenomena in dispersive water waves, coupled DSW equation has wide-ranging applications in fluid...

Alqur'an is a very perfect human guideline, because it regulates all aspects of human life, both worldly life including very small things and the afterlife. But unfortunately, the development of the times has led to the teachings of alqur'an and further away from the monitoring and implementation of the contents of alqur'an ‟in human life. From the...

Undergraduate education for Science, Technology, Engineering and Mathematics (STEM) has been a global priority of governments for decades, because of its direct connection to work-force development in a world with growing dependence on technology and information. Technology is the outcome of an evolutionary process leading to increases of complexit...

Initial and/or boundary value problems for partial differential equations arise as mathematical model of wide class of problems appearing in mathematical physics. Evidently not all problems can be solved analytically. In some cases the given mathematical physics problem can be solved analytically, but the implicit form of the exact solution may tak...

Double gas Thermodynamic cycle achieves 100% efficiency of heat engine There are three physical variables in the two gas Thermodynamic cycle. The Thermodynamic cycle is carried out in a three-dimensional space, which requires multivariate functions and the first law of thermodynamics. It is smooth in logic reasoning in Mathematical physics and simp...

Surprising as it may seem, applications of statistical methods to physics were inspired by the social sciences, which in turn are linked to the humanities. So perhaps it is not as unlikely as it might first appear for a group of statistical physicists and humanists to come together to investigate one of the subjects of Thomas Jefferson's poetic int...

In the framework of stationary anisotropic heat conduction (the Laplace-Beltrami equation) without heat sources, we investigate both theoretically and numerically the acceleration of the two iterative algorithms of Kozlov et al. (U.S.S.R. Computational Mathematics and Mathematical Physics 31:45–52, 1991) for the accurate, convergent and stable reco...

Background: The integration of training sessions into modern education is of vital importance for such disciplines as Physical Education and First Aid for the non-core specialities. This research explored the opportunities to introduce a pilot programme for Sports Medicine based on the First Aid and Fitness Tests applications to develop critical t...

Applications are invited for a 3-year funded PhD position in Cosmology at Universiti Tunku Abdul Rahman from highly motivated and research-oriented candidates who can work independently. The PhD position is sponsored by UTARRF research project. Eligibility : Masters degree in related topics of Mathematics/Physics. Location of Research : Universiti...

For a very long time, finite volume, finite element, or finite difference methods have been used to solve partial differential equations (PDEs) numerically. These techniques have been used by researchers for centuries to solve a wide range of mathematical, physical, or chemical problems. The complexity of these numerical approaches, for the resolut...

We introduce and investigate symmetric Sturm-Liouville operators on the line under minimal assumptions on the regularity of the coe�cients. Two Povzner-Wiengoltz-type theorems will be presented. Conditions on measurevalued potential which provide that 1D Schrodinger operator is self-adjoint are found.

End of Schrodinger letter to Einstein, November 1950: "One must therefore go back 300 years and reflect on how one could have proceeded differently at that time." Indeed we need to go back much more than just 300 years. But we don't need to proceed differently. We need instead to see from a different perspective what we have done since then. In ord...

The nonlinear space-time fractional Cahn-Allen and space-time fractional Benjamin-Bona-Mahony equations have significant applications in the fusion and fission phenomena of solitons, electromagnetic interactions, quantum relativistic atom theory, signal processing, quantum relativistic properties, and phase isolation with an atom in several compone...

In this study, we embark on a mathematical exploration of 4×4 magic squares, delving into the intriguing symmetries hidden within these enigmatic structures. Our focus lies on a traveler's quest to visit cities positioned at the center of each cell in a 4×4 square grid, following the sequence dictated by a magic square arrangement. However, the dis...