Letters in Mathematical Physics最新文献_第9页

Homotopy classification of knotted defects in bounded domains 有界域上结缺陷的同伦分类

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-10-24 DOI: 10.1007/s11005-025-02004-0

Yuta Nozaki, David Palmer, Yuya Koda

引用次数: 0

Breather gas and shielding of the focusing nonlinear Schrödinger equation with nonzero backgrounds 呼吸气体与非零背景下聚焦非线性Schrödinger方程的遮挡

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-10-24 DOI: 10.1007/s11005-025-02005-z

Weifang Weng, Guoqiang Zhang, Boris A. Malomed, Zhenya Yan

{"title":"Breather gas and shielding of the focusing nonlinear Schrödinger equation with nonzero backgrounds","authors":"Weifang Weng, Guoqiang Zhang, Boris A. Malomed, Zhenya Yan","doi":"10.1007/s11005-025-02005-z","DOIUrl":"10.1007/s11005-025-02005-z","url":null,"abstract":"<div>Breathers have been experimentally and theoretically found in many physical systems—in particular, in integrable nonlinear-wave models. A relevant problem is to study the breather gas, which is the limit, for (Nrightarrow infty ), of N-breather solutions. In this paper, we investigate the breather gas in the framework of the focusing nonlinear Schrödinger (NLS) equation with nonzero boundary conditions, using the inverse scattering transform and Riemann–Hilbert problem. We address aggregate states in the form of N-breather solutions, when the respective discrete spectra are concentrated in specific domains. We show that the breather gas coagulates into a single-breather solution whose spectral eigenvalue is located at the center of the circle domain, and a multi-breather solution for the higher-degree quadrature concentration domain. These coagulation phenomena in the breather gas are called breather shielding. In particular, when the nonzero boundary conditions vanish, the breather gas reduces to an n-soliton solution. When the discrete eigenvalues are concentrated on a line, we derive the corresponding Riemann–Hilbert problem. When the discrete spectrum is uniformly distributed within an ellipse, it is equivalent to the case of the line domain. These results may be useful to design experiments with breathers in physical settings.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145352663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Dressed fields for quantum chromodynamics 量子色动力学的修饰场

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-10-18 DOI: 10.1007/s11005-025-02002-2

Iustus C. Hemprich, Karl-Henning Rehren

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A note on spontaneous symmetry breaking in the mean-field Bose gas 平均场玻色气体中自发对称性破缺的注释。

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-10-14 DOI: 10.1007/s11005-025-01996-z

Andreas Deuchert, Phan Thành Nam, Marcin Napiórkowski

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Seminormal bases of cyclotomic Hecke–Clifford algebras 切环Hecke-Clifford代数的半正规基

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-10-07 DOI: 10.1007/s11005-025-01998-x

Shuo Li, Lei Shi

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On superlinear Lane–Emden–Matukuma equations in (textbf{R}^n) 中的超线性Lane-Emden-Matukuma方程 (textbf{R}^n)

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-10-06 DOI: 10.1007/s11005-025-01999-w

Tinh Thanh Cao

{"title":"On superlinear Lane–Emden–Matukuma equations in (textbf{R}^n)","authors":"Tinh Thanh Cao","doi":"10.1007/s11005-025-01999-w","DOIUrl":"10.1007/s11005-025-01999-w","url":null,"abstract":"<div>In this work, we investigate the results regarding the existence and non-existence of non-negative, non-trivial, (C^2)- solutions to the equation <div><div>$$ -Delta u = bigg (frac{1}{1+|x|^2}bigg )^sigma u^alpha quad text {in } textbf{R}^n $$</div></div>with (n ge 3), (sigma in (0,1)), and (alpha >1). Our choice of this mathematical model, called Lane–Emden–Matukuma equation, is to provide a natural interpolation of the Lane–Emden equation corresponding to the case (sigma =0) and the Matukuma equation corresponding to the case (sigma =1). This is a continuation of our earlier work in which the sublinear case (alpha le 1) was studied. In the supercritical case, namely (alpha >1), we prove that the equation admits non-trivial, non-negative, (C^2)-solution if, and only if, <div><div>$$ alpha > frac{n+2-4sigma }{n-2}. $$</div></div>This provides a comprehensive overview of non-existence and existence results for the equation in the full generality of the parameters (sigma in [0,1]) and (alpha in textbf{R}).</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Classification of gradient Einstein-type Kähler manifolds with (alpha =0) 梯度爱因斯坦型Kähler流形的分类 (alpha =0)

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-30 DOI: 10.1007/s11005-025-01992-3

Shun Maeta

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Direct sum structure of the super Virasoro algebra and a Fermion algebra arising from the quantum toroidal (mathfrak {gl}_2) 由量子环面产生的超Virasoro代数和费米子代数的直接和结构 (mathfrak {gl}_2)

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-30 DOI: 10.1007/s11005-025-01997-y

Yusuke Ohkubo

{"title":"Direct sum structure of the super Virasoro algebra and a Fermion algebra arising from the quantum toroidal (mathfrak {gl}_2)","authors":"Yusuke Ohkubo","doi":"10.1007/s11005-025-01997-y","DOIUrl":"10.1007/s11005-025-01997-y","url":null,"abstract":"<div>It is known that the q-deformed Virasoro algebra can be constructed from a certain representation of the quantum toroidal (mathfrak {gl}_1) algebra. In this paper, we apply the same construction to the quantum toroidal algebra of type (mathfrak {gl}_2) and study the properties of resulting generators (W_i(z)) ((i=1,2)). The algebra generated by (W_i(z)) can be regarded as a q-deformation of the direct sum (textsf{F} oplus textsf{SVir}), where (textsf{F}) denotes the free fermion algebra and (textsf{SVir}) stands for the (N=1) super Virasoro algebra, also referred to as the (N=1) superconformal algebra or the Neveu–Schwarz–Ramond algebra. Moreover, the generators (W_i(z)) admit two screening currents, and we show that their degeneration limits coincide with the screening currents of (textsf{SVir}). We also establish quadratic relations satisfied by (W_i(z)) and show that they generate a pair of commuting q-deformed Virasoro algebras, which degenerate into two nontrivial commuting Virasoro algebras included in (textsf{F} oplus textsf{SVir}).</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Symmetries and Noether’s theorem for action-dependent multicontact field theories 动作相关多接触场理论的对称性与Noether定理

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-30 DOI: 10.1007/s11005-025-01995-0

Xavier Rivas, Narciso Román-Roy, Bartosz M. Zawora

引用次数: 0

Inverse scattering transform for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities under nonzero boundary conditions 非零边界条件下局部非线性与非局部非线性离焦非线性Schrödinger方程的逆散射变换

IF 1.4 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-09-22 DOI: 10.1007/s11005-025-01993-2

Chuanxin Xu, Tao Xu, Min Li

{"title":"Inverse scattering transform for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities under nonzero boundary conditions","authors":"Chuanxin Xu, Tao Xu, Min Li","doi":"10.1007/s11005-025-01993-2","DOIUrl":"10.1007/s11005-025-01993-2","url":null,"abstract":"<div>Within the framework of the Riemann–Hilbert problem, the theory of inverse scattering transform is established for the defocusing nonlinear Schrödinger equation with local and nonlocal nonlinearities (which originates from the parity-symmetric reduction of the Manakov system) under nonzero boundary conditions. First, the adjoint Lax pair and auxiliary eigenfunctions are introduced for the direct scattering, and the analyticity, symmetries of eigenfunctions and scattering matrix are studied in detail. Then, the distribution of discrete eigenvalues is examined, and the asymptotic behaviors of the eigenfunctions and scattering coefficients are analyzed rigorously. Compared with the Manakov system, the reverse-space nonlocality introduces an additional symmetry, leading to stricter constraints on eigenfunctions, scattering coefficients and norming constants. Further, the Riemann–Hilbert problem is formulated for the inverse problem with the scattering coefficients admitting an arbitrary number of simple zeros. For the reflectionless case, the N-soliton solutions are presented in the determinant form. With N = 1, the dark and beating one-soliton solutions are obtained, which are, respectively, associated with a pair of discrete eigenvalues lying on and off the circle on the spectrum plane. Via the asymptotic analysis, the two-soliton solutions are found to admit the interactions between two dark solitons or two beating solitons, as well as the superpositions of two beating solitons or one beating soliton and one dark soliton.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145100808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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