Journal of Mathematical Physics Analysis Geometry最新文献

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Quadratic symplectic Lie superalgebras with a filiform module as an odd part 以丝状模为奇部的二次辛李超代数
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0142935
Elisabete Barreiro, S. Benayadi, R. Navarro, José M. Sánchez
{"title":"Quadratic symplectic Lie superalgebras with a filiform module as an odd part","authors":"Elisabete Barreiro, S. Benayadi, R. Navarro, José M. Sánchez","doi":"10.1063/5.0142935","DOIUrl":"https://doi.org/10.1063/5.0142935","url":null,"abstract":"The present work studies deeply quadratic symplectic Lie superalgebras, obtaining, in particular, that they are all nilpotent. Consequently, we provide classifications in low dimensions and identify the double extensions that maintain symplectic structures. By means of both elementary odd double extensions and generalized double extensions of quadratic symplectic Lie superalgebras, we obtain an inductive description of quadratic symplectic Lie superalgebras of filiform type.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"2008 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82542443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An application of Heun functions in the quantum mechanics of a constrained particle Heun函数在约束粒子量子力学中的应用
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0135385
A. Schmidt, Matheus E. Pereira
{"title":"An application of Heun functions in the quantum mechanics of a constrained particle","authors":"A. Schmidt, Matheus E. Pereira","doi":"10.1063/5.0135385","DOIUrl":"https://doi.org/10.1063/5.0135385","url":null,"abstract":"Using the thin-layer quantization, we formulate the problem of a Schrödinger particle constrained to move along a coordinate surface of the bi-spherical coordinate system. In three-dimensional space, the free Schrödinger equation is not separable in this coordinate system. However, when we consider the equation for a particle constrained to a given surface, there are only two degrees of freedom. One has to introduce a geometrical potential to attach the particle to the surface. This well-known potential has two contributions: one from Gauss’ curvature and the other from the mean curvature. The Schrödinger equation leads to a general Heun equation. We solve it exactly and present the eigenfunctions and plots of the probability densities, and, as an application of this methodology, we study the problem of an electric charge propagating along these coordinate surfaces in the presence of a uniform magnetic field.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"33 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88307179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Existence results for a class of p(x)-Kirchhoff-type equations with critical growth and critical frequency 一类具有临界增长和临界频率的p(x)- kirchhoff型方程的存在性结果
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0133793
Rui He, Sihua Liang
{"title":"Existence results for a class of p(x)-Kirchhoff-type equations with critical growth and critical frequency","authors":"Rui He, Sihua Liang","doi":"10.1063/5.0133793","DOIUrl":"https://doi.org/10.1063/5.0133793","url":null,"abstract":"This article deals with a class of p(x)-Laplace equations with critical growth and critical frequency. By using the variational methods and some analytical skills, we obtain the existence and multiplicity of nontrivial solutions for this problem. The novelty of this paper lies in two aspects: (1) this equation contains the degenerate case, which corresponds to the Kirchhoff term K vanishing at zero and (2) our paper is about the appearance of critical terms, which can be viewed as a partial extension of the results of Zhang et al. [Electron. J. Differ. Equations 2018, 1–20] concerning the existence of solutions to this problem in the subcritical case.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"67 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76323615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 Hochstadt–Lieberman theorem for the fourth-order binomial operator 关于四阶二项式算子的Hochstadt-Lieberman定理
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0107145
Lu Chen, Guoliang Shi, Jun Yan
{"title":"On the Hochstadt–Lieberman theorem for the fourth-order binomial operator","authors":"Lu Chen, Guoliang Shi, Jun Yan","doi":"10.1063/5.0107145","DOIUrl":"https://doi.org/10.1063/5.0107145","url":null,"abstract":"A method of recovering the potential of the fourth-order binomial operator on a half-interval [1/2, 1] using a known potential on another half-interval [0, 1/2] and the eigenvalues of the self-adjoint boundary problem on the whole interval [0, 1] is proposed.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"3 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79000947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Resonant collisions of high-order localized waves in the Maccari system 马卡里系统中高阶局域波的共振碰撞
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0141546
Yulei Cao, Yi Cheng, Jingsong He
{"title":"Resonant collisions of high-order localized waves in the Maccari system","authors":"Yulei Cao, Yi Cheng, Jingsong He","doi":"10.1063/5.0141546","DOIUrl":"https://doi.org/10.1063/5.0141546","url":null,"abstract":"Exploring new nonlinear wave solutions to integrable systems has always been an open issue in physics, applied mathematics, and engineering. In this paper, the Maccari system, a two-dimensional analog of nonlinear Schr[Formula: see text]dinger equation, is investigated. The system is derived from the Kadomtsev–Petviashvili (KP) equation and is widely used in nonlinear optics, plasma physics, and water waves. A large family of semi-rational solutions of the Maccari system are proposed with the KP hierarchy reduction method and Hirota bilinear method. These semi-rational solutions reduce to the breathers of elastic collision and resonant collision under special parameters. In case of resonant collisions between breathers and rational waves, these semi-rational solutions describe lumps fusion into breathers, or lumps fission from breathers, or a mixture of these fusion and fission. The resonant collisions of semi-rational solutions are semi-localized in time (i.e., lumps exist only when t → +∞ or t → −∞), and we also discuss their dynamics and asymptotic behaviors.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"68 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83771583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations 二阶非瞬时脉冲分数中立型随机微分方程的Ulam-Hyers稳定性
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0088040
D. K., B. P.
{"title":"Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations","authors":"D. K., B. P.","doi":"10.1063/5.0088040","DOIUrl":"https://doi.org/10.1063/5.0088040","url":null,"abstract":"In this paper, sufficient conditions are established for the Ulam–Hyers stability of second-order non-instantaneous impulsive fractional neutral stochastic differential equations (NIIFNSDEs) with supremum norm in the pth means square sense. The existence of solution of NIIFNSDEs is derived by using the cosine family of linear operator, It[Formula: see text]’s formula, and M[Formula: see text]nch fixed point theorem in infinite-dimensional space. Finally, an example is demonstrated to illustrate the obtained theoretical results.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"71 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75540291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Discrete thermodynamic Cucker–Smale model with time-delay on a general digraph 广义有向图上具有时滞的离散热力学cucker - small模型
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0095621
Chen Wu, Jiu‐Gang Dong
{"title":"Discrete thermodynamic Cucker–Smale model with time-delay on a general digraph","authors":"Chen Wu, Jiu‐Gang Dong","doi":"10.1063/5.0095621","DOIUrl":"https://doi.org/10.1063/5.0095621","url":null,"abstract":"We study the discrete-time thermodynamic Cucker–Smale (TCS) model with a communication time-delay on a general digraph containing a spanning tree. In the TCS model, the mutual interactions not only are “mechanical” but also are affected by the “temperature effect.” It always takes time for information to be received between agents due to finite propagation speed effects. Transmission delays are inevitable and should be incorporated into flocking modeling. In this paper, we provide sufficient frameworks for flocking to the discrete TCS model, which are formulated in terms of initial configuration, network topology, and system parameters. In our proposed frameworks, we show that the TCS model exhibits exponential flocking convergence.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"333 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80580876","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Quantum tomographic Aubry–Mather theory 量子层析奥布里-马瑟理论
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0127998
A. Shabani, F. Khellat
{"title":"Quantum tomographic Aubry–Mather theory","authors":"A. Shabani, F. Khellat","doi":"10.1063/5.0127998","DOIUrl":"https://doi.org/10.1063/5.0127998","url":null,"abstract":"In this paper, we study the quantum analog of the Aubry–Mather theory from a tomographic point of view. In order to have a well-defined real distribution function for the quantum phase space, which can be a solution for variational action minimizing problems, we reconstruct quantum Mather measures by means of inverse Radon transform and prove that the resulting tomograms, which are fair and non-negative distribution functions, are also solutions of the quantum Mather problem and, in the semi-classical sense, converge to the classical Mather measures.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"11 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73670501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces 高正则空间中具有x -椭圆算子的非自治随机抛物方程的Wong-Zakai逼近
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-04-01 DOI: 10.1063/5.0111876
Lili Gao, Mingyou Huang, Lu Yang
{"title":"Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces","authors":"Lili Gao, Mingyou Huang, Lu Yang","doi":"10.1063/5.0111876","DOIUrl":"https://doi.org/10.1063/5.0111876","url":null,"abstract":"In this paper, we consider the regularity of Wong–Zakai approximations of the non-autonomous stochastic degenerate parabolic equations with X-elliptic operators. We first establish the pullback random attractors for the random degenerate parabolic equations with a general diffusion. Then, we prove the convergence of solutions and the upper semi-continuity of random attractors of the Wong–Zakai approximation equations in L p( D N) ∩ H.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"94 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83349334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spectral stability of periodic waves for the Zakharov system Zakharov系统周期波的谱稳定性
IF 0.5 4区 数学
Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-03-22 DOI: 10.1063/5.0106133
S. Hakkaev, M. Stanislavova, A. Stefanov
{"title":"Spectral stability of periodic waves for the Zakharov system","authors":"S. Hakkaev, M. Stanislavova, A. Stefanov","doi":"10.1063/5.0106133","DOIUrl":"https://doi.org/10.1063/5.0106133","url":null,"abstract":"This paper is concerned with the stability of periodic traveling waves of dnoidal type, of the Zakharov system. This problem was considered in a study of Angulo and Brango [Nonlinearity 24, 2913 (2011)]. In particular, it was shown that under a technical condition on the perturbation, such waves are orbitally stable, with respect to perturbations of the same period. Our main result fills up the gap created by the aforementioned technical condition. More precisely, we show that for all natural values of the parameters, the periodic dnoidal waves are spectrally stable.","PeriodicalId":50141,"journal":{"name":"Journal of Mathematical Physics Analysis Geometry","volume":"40 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84637613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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