Theoretical and Mathematical Physics最新文献_第3页

Short pulse equation: Nonlocal symmetries and applications 短脉冲方程：非局部对称性及其应用

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-08-25 DOI: 10.1134/S0040577926080052

Wanxin Zhang, Xiaoyong Li

引用次数: 0

Mathematical proof of spatial symmetry invariance of two-dimensional Kolmogorov flow 二维Kolmogorov流空间对称不变性的数学证明

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-08-25 DOI: 10.1134/S0040577926080039

Shijun Liao

{"title":"Mathematical proof of spatial symmetry invariance of two-dimensional Kolmogorov flow","authors":"Shijun Liao","doi":"10.1134/S0040577926080039","DOIUrl":"10.1134/S0040577926080039","url":null,"abstract":" We prove a mathematical theorem that the exact solution of the two-dimensional (2D) Kolmogorov flow governed by the Navier–Stokes (NS) equations with the periodic boundary condition maintains the same spatial symmetry as its initial condition globally in time, i.e., for all (tge 0). This mathematical theorem can be used as an absolute scale to check the correctness and reliability of numerical simulations of NS turbulence. It is found that all reported CNS (clean numerical simulation) results of the NS turbulence maintain the same spatial symmetry as the corresponding initial condition in the whole time interval of simulation, but all of the corresponding DNS (direct numerical simulation) results lose their spatial symmetry quickly. In other words, these DNS results violate this mathematical theorem. Therefore, this mathematical theorem rigorously confirms that the spatiotemporal trajectories of NS turbulence given by DNS are indeed quickly polluted by numerical noises badly. It also illustrates that CNS can provide helpful enlightenment to deepen our understanding of turbulence, since it can reveal mathematical truths and realities of NS turbulence. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 2","pages":"1304 - 1314"},"PeriodicalIF":1.0,"publicationDate":"2026-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148807354","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

Nonlinear dynamics of the asymmetric chiral field of the (SU(2)) group on the semiaxis 半轴上(SU(2))基团不对称手性场的非线性动力学

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-08-25 DOI: 10.1134/S004057792608009X

V. V. Kiselev

{"title":"Nonlinear dynamics of the asymmetric chiral field of the (SU(2)) group on the semiaxis","authors":"V. V. Kiselev","doi":"10.1134/S004057792608009X","DOIUrl":"10.1134/S004057792608009X","url":null,"abstract":" We study the nonlinear dynamics of a noncollinear semi-bounded ferrimagnet within the framework of the model of the asymmetric chiral field on the (SU(2)) group. The boundary conditions corresponding to free spins on the surface of the sample and a homogeneous magnetization distribution in its depth are taken into account. To solve the initial-boundary problem, we propose a special composition of the inverse spectral transform on a torus and the image method. Two classes of particle-like excitations are predicted and analyzed, whose cores are strongly deformed near the boundary of the sample and cause bursts of remagnetization of the surface layers of a ferrimagnet. Far from the surface, they transform into typical solitons of an unbounded medium. We calculate the shifts of the internal oscillation phases and the positions of the soliton centers after their elastic reflection from the boundary of the sample. We obtain analytical solutions that describe the delocalization and destruction of multisolitons in the field of magnetization waves of considerable amplitude, that is, waves that fall on the boundary of the sample and reflect from it. We show that the integrals of motion of a semi-bounded sample for any localized initial perturbation of a ferrimagnet represent sums of independent contributions from strongly nonlinear solitons and quasi-particles of the continuous spectrum of dispersive waves. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 2","pages":"1398 - 1425"},"PeriodicalIF":1.0,"publicationDate":"2026-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148807360","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

A nonisospectral Ablowitz–Ladik equation: Double Casoratian solutions and bilinearization reduction scheme 非等谱Ablowitz-Ladik方程：双casoration解和双线性化约化方案

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-08-25 DOI: 10.1134/S0040577926080064

Juan Zhou, Song-lin Zhao, Ying Shi

引用次数: 0

Breaching the light barrier without paradoxes 无悖论地突破光障

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-08-25 DOI: 10.1134/S0040577926080131

A. K. Mehta

引用次数: 0

Higher-order lump and semi-rational solutions for the ((2+1))-dimensional nonlocal Mel’nikov equation ((2+1))维非局部Mel 'nikov方程的高阶块解和半有理解

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-08-25 DOI: 10.1134/S0040577926080076

Zhonglong Zhao, Yindi Liu

{"title":"Higher-order lump and semi-rational solutions for the ((2+1))-dimensional nonlocal Mel’nikov equation","authors":"Zhonglong Zhao, Yindi Liu","doi":"10.1134/S0040577926080076","DOIUrl":"10.1134/S0040577926080076","url":null,"abstract":" This paper systematically investigates the high-order lump solutions and semi-rational solutions of the ((2+1))-dimensional nonlocal Mel’nikov equation satisfying the (mathcal{PT})-symmetric condition. By employing Hirota’s bilinear method and the Kadomtsev–Petviashvili (KP) hierarchy reduction technique, the general determinant form of these solutions expressed in terms of Schur polynomials and exponential functions is established. Based on this framework, we classify first-order lump solutions into three types: bright lump, four-petaled lump, and dark lump, and further extend this classification to higher-order cases. The semi-rational solutions in which lumps coexist with dark solitons and breathers are constructed. Furthermore, we systematically analyze their dynamical behaviors, and elucidate the controlling role of parameter (a_k) on the position of these lumps. This study not only extends the structure of the analytical solutions for the nonlocal Mel’nikov equation but also provides a theoretical foundation for understanding interaction mechanisms of nonlinear waves in the (mathcal{PT})-symmetric systems. These solutions have significant implications for fields such as optics, plasma physics, and fluid mechanics. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 2","pages":"1359 - 1387"},"PeriodicalIF":1.0,"publicationDate":"2026-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148807355","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

Quasiclassical and quantum radiation in graphene 石墨烯中的准经典和量子辐射

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S004057792607007X

V. A. Tseryupa, S. A. Smolyansky, V. V. Dmitriev, D. V. Churochkin

引用次数: 0

Holographic equation of state with strangeness for the study of the quark–gluon plasma evolution 研究夸克-胶子等离子体演化的全息奇异态方程

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070019

A. V. Anufriev, V. N. Kovalenko

{"title":"Holographic equation of state with strangeness for the study of the quark–gluon plasma evolution","authors":"A. V. Anufriev, V. N. Kovalenko","doi":"10.1134/S0040577926070019","DOIUrl":"10.1134/S0040577926070019","url":null,"abstract":" We present and implement two approaches for including the strangeness potential in the holographic equation of state together with the baryon chemical potential. The first approach is based on the concept of a free quark gas, taking into account symmetry considerations, while the second is based on the thermodynamic properties of the hadron gas. The goal of this paper is to study the effect of strangeness on the evolution of quark–gluon plasma within the framework of hydrodynamic modeling of heavy-ion collisions. The parameters of the holographic model are calibrated to lattice quantum chromodynamics data with the physical masses of quarks using machine learning methods. The equation of state is integrated into the MUSIC and vHLLE packages, and multistage modeling of ion collisions is performed using the iEBE-MUSIC and SMASH-vHLLE frameworks. It is shown that the inclusion of strangeness based on the hadron gas leads to better agreement with the experimental spectra of (K^+) mesons compared to the hypothesis of a quark gas, and the sensitivity to the choice of the hypothesis strongly depends on the hydrodynamic package used. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1095 - 1104"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552888","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 Regge–Gribov model with odderons 带奇数的Regge-Gribov模型

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070020

M. A. Braun, E. M. Kuzminskii, M. I. Vyazovsky

{"title":"The Regge–Gribov model with odderons","authors":"M. A. Braun, E. M. Kuzminskii, M. I. Vyazovsky","doi":"10.1134/S0040577926070020","DOIUrl":"10.1134/S0040577926070020","url":null,"abstract":" The Regge–Gribov model describing interacting pomerons and odderons is proposed with triple reggeon vertices taking into account the negative signature of the odderon. Its simplified version with zero transverse dimensions is first considered. No phase transition occurs in this case at the intercept crossing unity. This simplified model is studied without further approximations by numerical techniques. The physically relevant model in the two-dimensional transverse space is then studied by the renormalization group method in the single-loop approximation. The pomeron and odderon are taken to have different bare intercepts and slopes. The behavior when the intercepts move from below to their critical values compatible with the Froissart bound is studied. Five real fixed points are found with singularities in the form of nontrivial branch points indicating a phase transition as the intercepts cross unity. The new phases, however, are not physical, since they violate projectile–target symmetry. In the vicinity of fixed points, the asymptotic behavior of Green’s functions and the elastic scattering amplitude is found under the Glauber approximation for couplings to participants. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1105 - 1124"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552889","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

Eigenfunctions of the continuous spectrum of the Hamiltonian of a three-particle system as distributions over the momentum variable 三粒子系统哈密顿量连续谱的特征函数作为动量变量的分布

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070123

S. L. Yakovlev

引用次数: 0