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Almost Ricci-Bourguignon soliton on warped product space 弯曲积空间上的几乎里奇-布吉尼翁孤子
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00058-7
Santosh Kumar, Pankaj Kumar, Buddhadev Pal
{"title":"Almost Ricci-Bourguignon soliton on warped product space","authors":"Santosh Kumar,&nbsp;Pankaj Kumar,&nbsp;Buddhadev Pal","doi":"10.1016/S0034-4877(23)00058-7","DOIUrl":"10.1016/S0034-4877(23)00058-7","url":null,"abstract":"<div><p>The purpose of this article is to study the almost Ricci-Bourguignon soliton<span> on warped product space. Some results for solenoidal and concurrent vector fields are obtained on warped product space with almost Ricci-Bourguignon soliton. We provide the relation between the warped manifold and its base manifold (fiber manifold) for an almost Ricci-Bourguignon soliton. We also generalize the Bochner formula in warped product space. Next, we study the Riemannian map whose total manifold admits an almost Ricci-Bourguignon soliton. We find the condition for a kernel of Riemannian map to become an almost Ricci-Bourguignon soliton. Moreover, we give an example for almost Ricci-Bourguignon soliton on warped product space.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45553781","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
Mittag-Leffler based Bessel and Tricomi functions via umbral approach 基于本影方法的Mittag-Leffler的Bessel和Tricomi函数
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00051-4
Tabinda Nahid, Hari Ponnama Rani
{"title":"Mittag-Leffler based Bessel and Tricomi functions via umbral approach","authors":"Tabinda Nahid,&nbsp;Hari Ponnama Rani","doi":"10.1016/S0034-4877(23)00051-4","DOIUrl":"10.1016/S0034-4877(23)00051-4","url":null,"abstract":"<div><p><span>Various types of functions, their generalizations and extentions have been widely explored, especially for their applications in various fields of research. In this article, we show that the use of methods of an operational nature, such as umbral calculus, allows us to acquire the hybrid form of the Bessel and Tricomi functions in terms of Mittag-Leffler functions. Certain novel identities such as generating functions, series representations, </span>differential equations<span>, derivative formulae, summation formula and Jacobi-Anger expansion for Mittag-Leffler-Bessel functions are obtained. Some integral formulae for the Oth-order Mittag-Leffler-Bessel functions are established. In addition, the Mittag-Leffler-Tricomi functions are constructed and some captivating properties of these polynomials are explored. The natural transforms of the Mittag-Leffler-Bessel functions and Mittag-Leffler-Tricomi functions are investigated and Laplace and Sumudu transforms are obtained as special cases. The graphical representations of these hybrid functions are given for special values of the parameters.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42791866","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
Integrable nonlocal nonlinear Schrödinger hierarchies of type (-λ*,λ) and soliton solutions （-λ*，λ）型可积非局部非线性Schrödinger层次与孤立子解
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00052-6
Wen-Xiu Ma
{"title":"Integrable nonlocal nonlinear Schrödinger hierarchies of type (-λ*,λ) and soliton solutions","authors":"Wen-Xiu Ma","doi":"10.1016/S0034-4877(23)00052-6","DOIUrl":"10.1016/S0034-4877(23)00052-6","url":null,"abstract":"<div><p><span>Two simultaneous nonlocal group constraints of the Ablowitz-Kaup-Newell-Segur matrix eigenvalue problems<span> are discussed, of which one constraint changes the eigenvalue parameter into its negative of the complex conjugate and the other constraint does not change the eigenvalue parameter. Under those two constraints, mixed-type nonlocal integrable nonlinear Schrödinger hierarchies are generated. Further, based on specific distributions of eigenvalues and adjoint eigenvalues, a formulation of </span></span>soliton solutions is established via the corresponding reflection-less generalized Riemann-Hilbert problems, where eigenvalues and adjoint eigenvalues could be equal.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45983851","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: 23
Investigation of exact solutions and conservation laws for nonlinear fractional (2+1)-dimensional Burgers system of equations 非线性分数(2+1)维Burgers方程组的精确解和守恒律的研究
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00056-3
Komal Singla
{"title":"Investigation of exact solutions and conservation laws for nonlinear fractional (2+1)-dimensional Burgers system of equations","authors":"Komal Singla","doi":"10.1016/S0034-4877(23)00056-3","DOIUrl":"10.1016/S0034-4877(23)00056-3","url":null,"abstract":"<div><p>The exact solutions of fractional order (2+1)-dimensional Burgers system are determined by using symmetry approach and power series technique. Also, the graphical behaviour of the obtained solutions is provided for better interpretation. The conservation laws for the system are reported by using the new conservation theorem.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46509800","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
On umbral properties of a family of hyperbolic-like functions appearing in magnetic transport problem 磁输运问题中一类双曲函数族的本影性质
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00053-8
Giuseppe Dattoli , Subuhi Khan , Mehnaz Haneef , Silvia Licciardi
{"title":"On umbral properties of a family of hyperbolic-like functions appearing in magnetic transport problem","authors":"Giuseppe Dattoli ,&nbsp;Subuhi Khan ,&nbsp;Mehnaz Haneef ,&nbsp;Silvia Licciardi","doi":"10.1016/S0034-4877(23)00053-8","DOIUrl":"10.1016/S0034-4877(23)00053-8","url":null,"abstract":"<div><p>Umbral operational techniques offer sturdy mechanism in the studies of special functions and special polynomials. The techniques of umbral calculus are employed to derive properties of families of exponential-like functions and their hyperbolic forms. The generalized forms of Mittag-Leffler functions are used to solve technical problems concerning transport of a charged beam in a solenoid magnet. The proposed method is flexible and has many advantages over standard computational techniques.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48805493","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
On the discrete modified KP hierarchies: The Wronskian solutions for their constrained cases 关于离散修正KP层次：其约束情形的Wronskian解
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00057-5
Ge Yi, Liyun Wang, Kelei Tian, Ying Xu
{"title":"On the discrete modified KP hierarchies: The Wronskian solutions for their constrained cases","authors":"Ge Yi,&nbsp;Liyun Wang,&nbsp;Kelei Tian,&nbsp;Ying Xu","doi":"10.1016/S0034-4877(23)00057-5","DOIUrl":"10.1016/S0034-4877(23)00057-5","url":null,"abstract":"<div><p>The discrete modified KP hierarchies are compatible with generalized <em>k</em><span>-constraints. By means of the gauge transformation, a large class of solutions can be represented by the Wronskian<span> determinants of functions satisfying a set of linear equations<span>. In this paper, we give a sufficient and necessary condition to reduce the discrete mKP hierarchies obtained by the Wronskian solutions to the discrete </span></span></span><em>k</em>-constrained mKP hierarchies.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44999197","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
Exponential entropy on sequential effect algebras 序列效应代数上的指数熵
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-08-01 DOI: 10.1016/S0034-4877(23)00054-X
Akhilesh Kumar Singh
{"title":"Exponential entropy on sequential effect algebras","authors":"Akhilesh Kumar Singh","doi":"10.1016/S0034-4877(23)00054-X","DOIUrl":"10.1016/S0034-4877(23)00054-X","url":null,"abstract":"<div><p>The present paper introduces a new definition of entropy on sequential effect algebras. Unlike the logarithmic behaviour of the entropy defined in the literature, the entropy considered here is of exponential nature. Conditional entropy<span> and entropy on the dynamical system are also introduced and studied. It is also proved that entropy of the dynamical system is invariant under isomorphism.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49341459","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
INDEX 指数
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00044-7
{"title":"INDEX","authors":"","doi":"10.1016/S0034-4877(23)00044-7","DOIUrl":"https://doi.org/10.1016/S0034-4877(23)00044-7","url":null,"abstract":"","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49738720","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
The construction of Gel'fand triplet space structure for Infinite Potential Well System 无限大势井系统的凝胶型和三重态空间结构的构建
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00036-8
Onur Genç, Haydar Uncu
{"title":"The construction of Gel'fand triplet space structure for Infinite Potential Well System","authors":"Onur Genç,&nbsp;Haydar Uncu","doi":"10.1016/S0034-4877(23)00036-8","DOIUrl":"10.1016/S0034-4877(23)00036-8","url":null,"abstract":"<div><p><span>The Hilbert space is the space which is usually chosen as the space of state vectors. In addition, the operators of </span>quantum mechanics<span> act on that space. However, the Hilbert space cannot provide a proper mathematical structure to define Dirac formulation. In particular, the use of Dirac formalism on the domain of definition of an observable leads to some physical contradictions. One example arises from the Infinite Potential Well System (IPWS) which is one of the most fundamental systems of quantum mechanics. Our aim in this paper is the explicit construction of the Gel'fand triplet for the IPWS.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46414940","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
Quantum-like correlation of two-qubit open system in the Markovian regime 马尔可夫状态下双量子位开放系统的类量子相关
IF 0.8 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00038-1
S. Bukbech , K. El Anouz , Z. El Allali , A. El Allati
{"title":"Quantum-like correlation of two-qubit open system in the Markovian regime","authors":"S. Bukbech ,&nbsp;K. El Anouz ,&nbsp;Z. El Allali ,&nbsp;A. El Allati","doi":"10.1016/S0034-4877(23)00038-1","DOIUrl":"10.1016/S0034-4877(23)00038-1","url":null,"abstract":"<div><p>A rigorous relationship between local quantum uncertainty and local quantum Fisher information<span><span><span> as recent quantifiers of nonclassical correlations is investigated. It consists of analysing the quantum correlation<span> rate ingrained in a bipartite quantum system interacting with its surrounding environment under the Markovian regime. Indeed, we quantify the separability between two </span></span>qubits where each qubit interacts with its own environment. Furthermore, a common reservoir is also taken into consideration, which allows us to solve exactly the Markovian master equation of this system. Pointing out that the degrees of freedom that belong to the environment, act only implicitly. We study the local quantum uncertainty and local quantum Fisher information quantifiers of the open system. By controlling several parameters encoded in the </span>reduced density operator of the open system, it is shown that the nonclassical measures fluctuate similarly between their maximum and minimum amplitudes. In particular, the high values of the damping rates related to each reservoir and some special values of the initial phase parameter allow for robust values of local quantum uncertainty and local quantum Fisher information. In particular, it is shown that in the non-resonance case, it is possible to enhance the quantum correlation of the proposed system.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43208690","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
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