International Journal of Theoretical Physics最新文献_第9页

On the Ulam-Hyers-Rassias-Mittag-Leffler Stability of the Solution to a (Psi)-Hilfer Abstract Fractional Differential Equation 关于(Psi) -Hilfer抽象分数阶微分方程解的Ulam-Hyers-Rassias-Mittag-Leffler稳定性

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-28 DOI: 10.1007/s10773-025-06055-w

Sunil Kundu, Swaroop Nandan Bora

引用次数: 0

Controllable Transformed Waves of a (2+1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation in Fluids 流体中（2+1）维变系数Caudrey-Dodd-Gibbon-Kotera-Sawada方程的可控变换波

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-28 DOI: 10.1007/s10773-025-06060-z

Min Wang, Zhonglong Zhao, Lihan Zhang

{"title":"Controllable Transformed Waves of a (2+1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation in Fluids","authors":"Min Wang, Zhonglong Zhao, Lihan Zhang","doi":"10.1007/s10773-025-06060-z","DOIUrl":"10.1007/s10773-025-06060-z","url":null,"abstract":"<div><p>In this paper, the dynamical behaviors of transformed nonlinear waves for a (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are investigated, which can be used to reveal the nonlinear wave phenomena in shallow water and ion-acoustic waves in fluid dynamics. Using the Hirota’s bilinear method, the <i>N</i>-soliton solutions can be obtained. By adding complex conjugation conditions, the breather wave solutions can be formed. Breather waves can be converted into various kinds of nonlinear waves under some restrictive conditions, such as quasi-solitons, quasi-periodic waves, multi-peak solitons, W-shaped solitons, oscillating M-shaped solitons and parabolic waves. By virtue of the higher-order breather wave solutions, the interactions of long-lived and short-lived collisions between two nonlinear waves are studied. In particular, based on the condition of velocity resonance, the dynamics of unidirectional and reciprocating molecular waves are discussed. The results contribute to a deeper understanding of the complex nonlinear wave phenomena existing in integrable systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 7","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170450","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

An Efficient Computational Technique for Fractional Brusselator Reaction–Diffusion Equations 分数阶Brusselator反应扩散方程的高效计算技术

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-27 DOI: 10.1007/s10773-025-06020-7

Neha Kalyan, Sanjeev Ahuja, Amit Prakash

引用次数: 0

Bäcklund Transformations, Consistent Tanh Expansion Solvability, Interaction Solutions, and Some Exact Solitary Waves of a (3+1)-dimensional P-type Evolution Equation Bäcklund（3+1）维p型演化方程的变换、一致Tanh展开可解性、相互作用解和一些精确孤波

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-27 DOI: 10.1007/s10773-025-06054-x

Mohamed Rahioui, El Hassan El Kinani, Abdelaziz Ouhadan

引用次数: 0

Elastic Medium Analogy of Spacetime: hµv Metric Perturbation Tensor Analysis and Theoretical Implications 时空的弹性介质类比：hµv度量摄动张量分析及其理论意义

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-26 DOI: 10.1007/s10773-025-06050-1

David Izabel, Yves Remond, Matteo Luca Ruggiero

{"title":"Elastic Medium Analogy of Spacetime: hµv Metric Perturbation Tensor Analysis and Theoretical Implications","authors":"David Izabel, Yves Remond, Matteo Luca Ruggiero","doi":"10.1007/s10773-025-06050-1","DOIUrl":"10.1007/s10773-025-06050-1","url":null,"abstract":"<div><p>A state-of-the-art review of the different deformations of space–time measured over more than a hundred years within the framework of general relativity in the weak-field regime is presented. The general relativity phenomena considered in this low field context include gravitational waves, the Lense-Thiring effect, gravitational lensing, gravitation around the Earth or the Sun. This overview of various deformations highlights the different active components of the perturbation tensor of the metric <span>({h}_{mu nu })</span>. The authors demonstrate that each phenomenon corresponds to one or more distinct components of this tensor. They also show that the various components can be interpreted, within the elastic analogy of space–time, as coherent components of an associated strain tensor <span>({varepsilon }_{mu nu })</span> in terms of elongation, compression or angular distortion of an equivalent elastic medium modeling the behavior of space–time. Through this synthetic ensemble approach and elastic analogy, it becomes evident—for the first time—that some components of the tensor <span>({h}_{mu nu })</span> remain to be identified and measured potentially corresponding to new phenomena or modified versions of general relativity in the weak-field limit.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 7","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169269","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

Review of Terahertz Perfect Vortex Field Based on Metasurface 基于超表面的太赫兹完美涡场研究进展

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-25 DOI: 10.1007/s10773-025-06015-4

Lingjie Chen, Zhifu Su, Manna Gu, Ying Tang, Kunpeng Ren, Zelong Mao, Xufeng Jing

引用次数: 0

Chaotic Phenomenon, Variational Principle, Hamiltonian, Phase Portraits, Bifurcation Analysis and Diverse Soliton Solutions of the Unstable Schrödinger Equation Involving Kerr Law in Optical Fibers 光纤中涉及Kerr定律的不稳定Schrödinger方程的混沌现象、变分原理、哈密顿量、相谱、分岔分析和不同孤子解

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-25 DOI: 10.1007/s10773-025-06051-0

Feng Zhao, Lu Zhang

{"title":"Chaotic Phenomenon, Variational Principle, Hamiltonian, Phase Portraits, Bifurcation Analysis and Diverse Soliton Solutions of the Unstable Schrödinger Equation Involving Kerr Law in Optical Fibers","authors":"Feng Zhao, Lu Zhang","doi":"10.1007/s10773-025-06051-0","DOIUrl":"10.1007/s10773-025-06051-0","url":null,"abstract":"<div><p>The unstable Schrödinger equation involving Kerr law in optical fibers is explored quantitatively and qualitatively in this work. With the aid of the semi-inverse method (SIM) and traveling wave transformation, we develop the variational principle (VP). The corresponding Hamiltonian function is extracted based on the VP. Make using of the Galilean transformation, we derive the planar dynamical system. Then the phase portraits are presented and bifurcation analysis is given to discuss the existence conditions of the different shape wave solutions. Furthermore, the chaotic phenomenon is also probed through introducing the external disturbances. In the end, three powerful techniques, the invariant algebraic curve approach that is based on the planar dynamical system, the Hamiltonian-based method which is on the basis of the energy conservation as well as the Wang’s direct mapping method, are used to construct the diverse wave solutions, which include the bell shape soliton, anti-bell shape soliton, singular wave, singular periodic wave and periodic wave solutions. Meanwhile, The outlines of the extracted wave solutions are unfolded with the help of Maple software to show the physical behaviors. As expected, some exact solutions extracted by Wang’s direct mapping method are the same with that obtained through the invariant algebraic curve approach. This strongly shows the correctness of the mentioned methods. To the best of the author's knowledge, the qualitative analysis for the problem is presented for the first time. Moreover, the methods used in this study are more simple and direct, which can avoid a lot of tedious calculations.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 7","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169691","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

Formulation and Quantization of Field Equations on Fractal Space-Time 分形时空场方程的表述与量化

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-17 DOI: 10.1007/s10773-025-06052-z

Alireza Khalili Golmankhaneh, Roman Pasechnik, Palle E. T. Jørgensen, Shuming Li

引用次数: 0

Rest Energy Effects for Non-relativistic Fermi Fields in External Potentials 非相对论费米场在外部势中的静止能量效应

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-16 DOI: 10.1007/s10773-025-06048-9

Fuad M. Saradzhev

引用次数: 0

Influence of Lorentzian Distributions in Formation of Structures in Magnetized Dusty Plasmas 洛伦兹分布对磁化尘埃等离子体结构形成的影响

IF 1.7 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-06-15 DOI: 10.1007/s10773-025-06035-0

Prerana Sharma

{"title":"Influence of Lorentzian Distributions in Formation of Structures in Magnetized Dusty Plasmas","authors":"Prerana Sharma","doi":"10.1007/s10773-025-06035-0","DOIUrl":"10.1007/s10773-025-06035-0","url":null,"abstract":"<div><p>This study investigates structure formation via gravitational instability in a magnetized collisional dusty plasma system composed of Lorentzian-distributed electrons and ions. The presence of these non-Maxwellian distributions significantly alters the plasma's fundamental characteristics, including the Debye length and quasi-neutrality condition. Employing a three-fluid model for electrons, ions, and dust, we analyze the net force on magnetized dust, which incorporates the dust polarization force (DPF), dust charge gradient (DCG) force, thermal pressure, and dust-neutral collisions. Modified expressions for the DPF and DCG, derived for Lorentzian distributions, are utilized to obtain the generalized dispersion relation, analyzed for both parallel and perpendicular propagating modes. Our findings reveal a significant influence of the Lorentzian particle distributions on the dust acoustic wave, critical Jeans length, and Jeans mass in parallel propagation. Furthermore, these non-Maxwellian distributions profoundly affect the critical parameters governing perpendicular propagation, where system stability is evaluated using the Routh-Hurwitz criterion. The potential applications of this work are significant for understanding the formation of gravitational wakes in the outer regions of Saturn's A and B rings. The estimated critical length is found to be approximately <span>({L}_{J}={10}^{8})</span> meters, and the critical mass approximately <span>({L}_{J}={10}^{8})</span> kg, showing a notable correlation with observational data from the Cassini spacecraft.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-025-06035-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0