发布求助
文献互助 智能选刊 最新文献

Theoretical and Mathematical Physics最新文献

筛选
英文 中文
Systems of difference equations, symmetries, and integrability conditions 差分方程组，对称性和可积性条件
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-08-23 DOI: 10.1134/S0040577925080021
L. Brady, P. Xenitidis
{"title":"Systems of difference equations, symmetries, and integrability conditions","authors":"L. Brady,&nbsp;P. Xenitidis","doi":"10.1134/S0040577925080021","DOIUrl":"10.1134/S0040577925080021","url":null,"abstract":"<p> We consider a class of systems of difference equations defined on an elementary quadrilateral of the <span>(mathbb{Z}^2)</span> lattice, define their eliminable and dynamical variables, and demonstrate their use. Using the existence of infinite hierarchies of symmetries as integrability criterion, we derive necessary integrability conditions and employ them in the construction of the lowest-order symmetries of a given system. These considerations are demonstrated with the help of three systems from the class of systems under consideration. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 2","pages":"1324 - 1339"},"PeriodicalIF":1.1,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891540","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
Special solutions of a discrete Painlevé equation for quantum minimal surfaces 量子极小曲面的离散painlev<e:1>方程的特解
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-08-23 DOI: 10.1134/S0040577925080045
P. A. Clarkson, A. Dzhamay, A. N. W. Hone, B. Mitchell
{"title":"Special solutions of a discrete Painlevé equation for quantum minimal surfaces","authors":"P. A. Clarkson,&nbsp;A. Dzhamay,&nbsp;A. N. W. Hone,&nbsp;B. Mitchell","doi":"10.1134/S0040577925080045","DOIUrl":"10.1134/S0040577925080045","url":null,"abstract":"<p> We consider solutions of a discrete Painlevé equation arising from a construction of quantum minimal surfaces by Arnlind, Hoppe, and Kontsevich, and in earlier work of Cornalba and Taylor on static membranes. While the discrete equation admits a continuum limit to the Painlevé I differential equation, we find that it has the same space of initial values as the Painlevé V equation with certain specific parameter values. We further explicitly show how each iteration of this discrete Painlevé I equation corresponds to a certain composition of Bäcklund transformations for Painlevé V, as was first remarked in a work by Tokihiro, Grammaticos, and Ramani. In addition, we show that some explicit special function solutions of Painlevé V, written in terms of modified Bessel functions, yield the unique positive solution of the initial value problem required for quantum minimal surfaces. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 2","pages":"1359 - 1397"},"PeriodicalIF":1.1,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891542","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 geometric anatomy of a nonwandering continuum possessing the Wada property 具有Wada性质的非游走连续体的几何解剖
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-08-23 DOI: 10.1134/S0040577925080070
D. W. Serow
{"title":"On the geometric anatomy of a nonwandering continuum possessing the Wada property","authors":"D. W. Serow","doi":"10.1134/S0040577925080070","DOIUrl":"10.1134/S0040577925080070","url":null,"abstract":"<p> A brief history of the Birkhoff curve and Wada basins is presented. The Birkhoff curves are found to be indecomposable continua that are the common boundary of two regions having a single composant. Therefore, a Birkhoff curve contains at most one fixed point. A simplest geometric model of the Birkhoff curve has been constructed by matching the tails of the composants of the indecomposable Knaster continuum having two composants. By analogy to Knaster’s continuum, examples of indecomposable continua having four and and six composants are constructed. By pairwise matching the tails of composants, the indecomposable continua are obtained that are common boundaries of three and four regions, respectively. There exist two and four topologically different matchings, respectively. Clearly, <span>(2n)</span>-composant indecomposable continuum admits <span>(2^n)</span> ways of matching. These geometric constructions demonstrate the anatomical structure of nonwandering continua possessing the Wada property for a dynamical system acting on the plane with a single hyperbolic fixed point. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 2","pages":"1428 - 1436"},"PeriodicalIF":1.1,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891357","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
Constrained parameters and exact solution of Schrödinger equation of charged particle in a time-dependent electric field: A unitary transformation approach 时变电场中带电粒子的约束参数及Schrödinger方程的精确解：一种酉变换方法
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-08-23 DOI: 10.1134/S0040577925080112
R. Ahmim, N. Baouche, S. Askri
{"title":"Constrained parameters and exact solution of Schrödinger equation of charged particle in a time-dependent electric field: A unitary transformation approach","authors":"R. Ahmim,&nbsp;N. Baouche,&nbsp;S. Askri","doi":"10.1134/S0040577925080112","DOIUrl":"10.1134/S0040577925080112","url":null,"abstract":"<p> We present an exact analytical solution for the quantum dynamics of a charged particle subjected to both a time-dependent electric field and a static magnetic field aligned along the <span>(z)</span>-direction. Using a systematic approach based on successive unitary transformations, we reduce the original three-dimensional problem to a two-dimensional system of decoupled, time-dependent harmonic oscillators. This technique produces free parameters that allow us to impose constrains to derive the exact solution of Schrödinger equation with the time-dependent Hamiltonian through the explicit derivation of the quantum propagator and shows the equivalence of this approach to established path integral methods for such systems. The developed framework provides new insights into quantum systems with time-dependent electromagnetic fields and offers analytical solutions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 2","pages":"1486 - 1496"},"PeriodicalIF":1.1,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891538","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
Dynamics of the boundary map of a system with spherical noise 球面噪声系统的边界映射动力学
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI: 10.1134/S004057792507013X
O. V. Pochinka, A. A. Yagilev
{"title":"Dynamics of the boundary map of a system with spherical noise","authors":"O. V. Pochinka,&nbsp;A. A. Yagilev","doi":"10.1134/S004057792507013X","DOIUrl":"10.1134/S004057792507013X","url":null,"abstract":"<p> Random dynamical systems with bounded noise are studied. In such systems, all trajectories are typically attracted to minimal sets, which are attractors. The problem of directly determining a minimal set is nontrivial, because one has to deal with a poorly investigated object, namely, with a set-valued map. However, there is an approach that allows reducing this problem to finding the invariant set of an ordinary discrete dynamical system, namely, of a boundary map. The minimal invariant sets are considered for the class of random dynamical systems consisting of invertible linear maps with bounded spherical noise. An exhaustive description of boundary maps is given in the case of typical linear contraction. It is found that the boundary map is then a Morse–Smale diffeomorphism whose global attractor uniquely determines the boundary of the minimal set of a random system. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 1","pages":"1271 - 1279"},"PeriodicalIF":1.1,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144665","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
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions 三分量非线性Schrödinger方程的导数形式及其最简解
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI: 10.1134/S0040577925070153
A. O. Smirnov, M. M. Prikhod’ko
{"title":"Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions","authors":"A. O. Smirnov,&nbsp;M. M. Prikhod’ko","doi":"10.1134/S0040577925070153","DOIUrl":"10.1134/S0040577925070153","url":null,"abstract":"<p> We propose a sequence of Lax pairs whose compatibility conditions are three-component integrable nonlinear equations. The first equations of this hierarchy are the three-component Kaup–Newell, Chen–Lee–Liu, and Gerdjikov–Ivanov equations. The type of equation depends on an additional parameter <span>(alpha)</span>. The proposed form of the three-component Kaup–Newell equation is slightly different from the classical one. We show that the evolution of the components of the simplest nontrivial solutions of these equations is completely determined by the evolution of the length of the solution vector and additional numerical parameters. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 1","pages":"1295 - 1309"},"PeriodicalIF":1.1,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144682","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
Nonlocality, integrability, and solitons 非定域性、可积性和孤子
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI: 10.1134/S0040577925070104
Wen-Xiu Ma
{"title":"Nonlocality, integrability, and solitons","authors":"Wen-Xiu Ma","doi":"10.1134/S0040577925070104","DOIUrl":"10.1134/S0040577925070104","url":null,"abstract":"<p> We explore integrable equations that involve involution points, along with the solution phenomena for Cauchy problems associated with nonlocal differential equations. By applying group reductions to classical Lax pairs, we generate nonlocal integrable equations. Soliton solutions of these models are derived using binary Darboux transformations or reflectionless Riemann–Hilbert problems in the nonlocal context. Further discussion on the well-posedness of nonlocal differential equations is also presented. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 1","pages":"1220 - 1233"},"PeriodicalIF":1.1,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144934","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
Integral networks of nonlinear oscillators 非线性振荡器的积分网络
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI: 10.1134/S0040577925070049
S. D. Glyzin, A. Yu. Kolesov
{"title":"Integral networks of nonlinear oscillators","authors":"S. D. Glyzin,&nbsp;A. Yu. Kolesov","doi":"10.1134/S0040577925070049","DOIUrl":"10.1134/S0040577925070049","url":null,"abstract":"<p> We consider some special systems of integro-differential equations, the so-called integral networks of nonlinear oscillators. These networks are obtained from finite-dimensional fully connected networks when the number of interacting oscillators tends to infinity. We study both general properties of the introduced class of equations and the characteristic features of the dynamics of integral networks. Namely, we establish the fundamental possibility of the existence of so-called periodic regimes of multicluster synchronization in these networks. For any such regime, the set of oscillators decomposes into <span>(r)</span>, <span>(rge 2)</span>, nonintersecting classes. Within these classes, complete synchronization of oscillations is observed, and every two oscillators from different classes oscillate asynchronously. We also establish the realizability of the phenomenon of continuum buffering, that is, of the existence under certain conditions of a continuum family of isolated attractors. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 1","pages":"1136 - 1153"},"PeriodicalIF":1.1,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144661","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
Constructing a solution of an initial boundary value problem for a functional-differential equation arising in mechanics of discrete-distributed systems 构造离散分布系统力学中一类泛函微分方程初边值问题的解
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI: 10.1134/S0040577925070062
E. P. Kubyshkin, V. D. Romanov
{"title":"Constructing a solution of an initial boundary value problem for a functional-differential equation arising in mechanics of discrete-distributed systems","authors":"E. P. Kubyshkin,&nbsp;V. D. Romanov","doi":"10.1134/S0040577925070062","DOIUrl":"10.1134/S0040577925070062","url":null,"abstract":"<p> We consider a three-point initial boundary value problem for a nonlinear functional partial differential equation with an infinite (integral) delay in the argument. The boundary conditions contain a delay in the argument and the highest derivative with respect to time. The initial boundary value problem is a mathematical model of the dynamics of a distributed rotating ideal shaft (rotor) of constant cross section with an ideal rigid circular disk mounted on the shaft. The axes of the shaft and disk coincide, the ends of the shaft rest on bearings. It is assumed that the shaft material obeys a nonlinear rheological model of a hereditarily elastic body. A definition of a solution of the initial boundary value problem is given based on the variational principle. Function spaces for the initial conditions and solutions are introduced, the phase space of the initial boundary value problem is defined. The existence theorem is proved for a solution, as is its uniqueness and continuous dependence on the initial conditions and parameters of the initial boundary value problem in the norm of the phase space. Thus, we demonstrate the well-posedness of the considered initial boundary value problem. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 1","pages":"1167 - 1179"},"PeriodicalIF":1.1,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144662","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
Periodic traveling waves in a nonlocal erosion equation 非局部侵蚀方程中的周期行波
IF 1.1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-07-25 DOI: 10.1134/S0040577925070074
A. N. Kulikov, D. A. Kulikov
{"title":"Periodic traveling waves in a nonlocal erosion equation","authors":"A. N. Kulikov,&nbsp;D. A. Kulikov","doi":"10.1134/S0040577925070074","DOIUrl":"10.1134/S0040577925070074","url":null,"abstract":"<p> We consider a periodic boundary-value problem for a nonlinear partial differential equation containing terms with a deviating spatial argument. The functional-differential equation under consideration was previously proposed as a model for describing the process of relief formation on a surface of semiconductors under ionic bombardment. We show that the boundary-value problem under consideration can have an asymptotically large number of two-dimensional invariant manifolds formed by solutions that have the structure of traveling periodic waves. We also show that these invariant manifolds are typically saddle ones, and the number of those that are local attractors does not exceed two. We obtain asymptotic formulas for solutions belonging to a given invariant manifolds. These mathematical results partially explain the complexity of dynamics of pattern formation on the surface of semiconductors. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"224 1","pages":"1180 - 1201"},"PeriodicalIF":1.1,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144680","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信