International Journal of Theoretical Physics最新文献_第4页

Bifurcation Analysis, Chaotic Behaviors, Variational Principle, Hamiltonian and Diverse Optical Solitons of the Fractional Complex Ginzburg–Landau Model 分数阶复金兹堡-朗道模型的分岔分析、混沌行为、变分原理、哈密顿量和各种光学孤子

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-07 DOI: 10.1007/s10773-025-05977-9

Kang-Jia Wang, Hong-Wei Zhu, Shuai Li, Feng Shi, Geng Li, Xiao-Lian Liu

{"title":"Bifurcation Analysis, Chaotic Behaviors, Variational Principle, Hamiltonian and Diverse Optical Solitons of the Fractional Complex Ginzburg–Landau Model","authors":"Kang-Jia Wang, Hong-Wei Zhu, Shuai Li, Feng Shi, Geng Li, Xiao-Lian Liu","doi":"10.1007/s10773-025-05977-9","DOIUrl":"10.1007/s10773-025-05977-9","url":null,"abstract":"<div><p>The objective of this article is to give a deep investigation into the dynamics of the conformable time-fractional complex Ginzburg–Landau equation including the Kerr law nonlinearity. Taking advantage of the semi-inverse method, we develop the variational principle, based on which the Hamiltonian is extracted. By means of the Galilean transformation, the governing equation is transformed into a planar dynamical system. Then the bifurcation analysis is presented. Correspondingly, the quasi-periodic and chaotic behaviors of the system are also discussed by introducing three different kinds of the perturbed terms in detail. Finally, two novel methods, the invariant algebraic curve method that is based on the planar dynamical system and the direct mapping method, are used to construct the diverse soliton solutions. A set of the optical solitons like the bright soliton and dark soliton are disclosed. In addition, other wave solutions such as the singular wave, singular periodic wave and algebraic solitary wave solutions are also investigated. The graphic depictions of the solition solutions are presented to elucidate the soliton propagation of the nonlinear optical fiber. It is found that the value of the fractional order <i>v</i> can affect the waveform of the soliton, that is, the smaller its value, the more severe the soliton bending. The findings of this research can make us gain more recognition in the nonlinear dynamic characteristics of the time-fractional complex Ginzburg–Landau equation with the Kerr law nonlinearity and the methods used in this study can be used to explore the other nonlinear partial differential equations in physics.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913920","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

Semi-Quantum Dialogue with d-Dimensional Single Particles 与d维单粒子的半量子对话

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-06 DOI: 10.1007/s10773-025-05983-x

Ling Zhang, Xun Liu, Xiang-Jun Xin, Pu Li, Chao-Yang Li

引用次数: 0

Bifurcation, Multistability, and Soliton Dynamics in the Stochastic Potential Korteweg-de Vries Equation 随机势Korteweg-de Vries方程的分岔、多稳定性和孤子动力学

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-03 DOI: 10.1007/s10773-025-06000-x

Beenish, Maria Samreen

{"title":"Bifurcation, Multistability, and Soliton Dynamics in the Stochastic Potential Korteweg-de Vries Equation","authors":"Beenish, Maria Samreen","doi":"10.1007/s10773-025-06000-x","DOIUrl":"10.1007/s10773-025-06000-x","url":null,"abstract":"<div><p>This paper focuses on the dynamical behavior and soliton solutions of the stochastic potential Korteweg-de Vries equation, a crucial model for nonlinear optical solitons, photons, electric circuits, and multicomponent plasmas. Initially, the Lie symmetries of the given equation are determined and employed to convert the model into an ordinary differential equation. Following this, a detailed examination of the equation’s dynamic behavior is conducted from various perspectives. To analyze chaotic behavior, we employ a range of advanced techniques, including time series analysis, bifurcation diagrams, phase portraits, and Lyapunov exponents. Additionally, we derive the solitary wave structures of the system using the new extended direct algebraic method. Through this approach, we identify periodic wave solutions expressed through rational, hyperbolic, and trigonometric functions. Specific parameter values lead to a variety of soliton solutions, including bright soliton, Dark soliton, semi-dark solitons, anti-kink solitons, and kink solitons. Lastly, the model’s multistability is examined under various initial conditions. Understanding the dynamic properties of systems is crucial for predicting outcomes and advancing technological innovations.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143900748","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

Exploring Quantum Intrinsic Localized Modes in a 1D Heisenberg Spin Chain with Second-neighbor Interactions in an Oblique Magnetic Field 斜磁场中具有二邻相互作用的一维海森堡自旋链的量子本征局域模式探索

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-03 DOI: 10.1007/s10773-025-05999-3

Z. I. Djoufack, J. P. Nguenang, A. Kenfack-Jiotsa

引用次数: 0

Environment Engineering to Protect Quantum Coherence in Tripartite Systems Under Dephasing Noise 失相噪声下保护三元系统量子相干性的环境工程

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-03 DOI: 10.1007/s10773-025-05995-7

Sovik Roy, Aahaman Kalaiselvan, Chandrashekar Radhakrishnan, Md Manirul Ali

引用次数: 0

Stability Analysis of Solutions to the Time–Fractional Nonlinear Schrödinger Equations 时间分数阶非线性Schrödinger方程解的稳定性分析

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-02 DOI: 10.1007/s10773-025-05998-4

Natasha Irshad, Rahim Shah, Kinza Liaquat, Emad E. Mahmoud

{"title":"Stability Analysis of Solutions to the Time–Fractional Nonlinear Schrödinger Equations","authors":"Natasha Irshad, Rahim Shah, Kinza Liaquat, Emad E. Mahmoud","doi":"10.1007/s10773-025-05998-4","DOIUrl":"10.1007/s10773-025-05998-4","url":null,"abstract":"<div><p>This study investigates the stability properties of solutions to time–fractional nonlinear Schrödinger equations, which model the time evolution of disturbances in complex media. The primary objective is to establish Hyers–Ulam and Hyers–Ulam–Rassias stability criteria for solutions to these equations by incorporating the time–fractional <span>(beta )</span>–time derivative. A key research question explored in this work is how the inclusion of the time–fractional <span>(beta )</span>–time derivative influences the stability behavior of solutions to these time–fractional Schrödinger equations. To address this, we employ the fixed–point method, a powerful analytical tool, to derive novel stability results. The theoretical findings are validated through numerical simulations and concrete examples, demonstrating their applicability and effectiveness in real–world scenarios. The results indicate that the proposed framework not only extends existing stability analyses but also provides deeper insights into the behavior of disturbances in fractional–order nonlinear systems. Incorporating the time–fractional <span>(beta )</span>–time derivative introduces new stability characteristics, refining the theoretical understanding of these time–fractional Schrödinger equations. This work represents the first extension of stability analysis to solutions of time–fractional nonlinear Schrödinger equations incorporating the time–fractional <span>(beta )</span>–time derivative, addressing a critical gap in the literature. The findings have significant implications for applications in quantum mechanics, optical solitons, signal processing, and other fields where fractional–order models are crucial for capturing memory and hereditary effects.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896798","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

Transition Properties of Doubly Heavy Baryons 双重重子的跃迁性质

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-02 DOI: 10.1007/s10773-025-05997-5

Kinjal Patel, Kaushal Thakkar

引用次数: 0

Gravitational Waves beyond the Linear Approximation and Gravitational Wave Reflection 超越线性近似的引力波与引力波反射

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-01 DOI: 10.1007/s10773-025-05996-6

Victor Atanasov, Avadh Saxena

{"title":"Gravitational Waves beyond the Linear Approximation and Gravitational Wave Reflection","authors":"Victor Atanasov, Avadh Saxena","doi":"10.1007/s10773-025-05996-6","DOIUrl":"10.1007/s10773-025-05996-6","url":null,"abstract":"<div><p>We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where the effective mass of the field is associated with the material and the dark energy content via the cosmological term. We solve the equation in the case of a Schwarzschild black hole and show that it can be cast into an effective Schrödinger form with an effective geometric potential which binds the zero angular momentum states. The non-zero angular momentum states experience a positive potential peak before the event horizon pointing to gravitational waves scattering. Black holes scatter gravitational waves and thus we provide an unambiguous testable prediction of black hole existence. The Newtonian limit for this equation points to the possibility of reflecting gravitational waves at interfaces with sharp density boundary, thus opening up gravitational wave propulsion physics. We discuss this type of propulsion in the light of Newton’s third law of Mechanics. Compelling questions such as the existence of quanta of this field which may account for the dark matter content are also addressed.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892718","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

Stability Analysis of Higher-Order Linear Differential Equations Using the Fourier Transform With Applications 用傅里叶变换分析高阶线性微分方程的稳定性及其应用

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-04-30 DOI: 10.1007/s10773-025-05988-6

M. Sivashankar, S. Sabarinathan, Salah Boulaaras, Mohamed Abdalla, Taha Radwan

引用次数: 0

Su-Schrieffer-Heeger Model - From Fundamentals to Responses Su-Schrieffer-Heeger模型——从基本原理到反应

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-04-29 DOI: 10.1007/s10773-025-05981-z

Deep Mondal, Arka Bandyopadhyay, Debnarayan Jana

{"title":"Su-Schrieffer-Heeger Model - From Fundamentals to Responses","authors":"Deep Mondal, Arka Bandyopadhyay, Debnarayan Jana","doi":"10.1007/s10773-025-05981-z","DOIUrl":"10.1007/s10773-025-05981-z","url":null,"abstract":"<div><p>The Su-Schrieffer-Heeger (SSH) model is a foundational framework in the study of one-dimensional topological insulators, offering significant insights into condensed matter physics and quantum systems. Originally formulated to describe polyacetylene, a one-dimensional polymer, the SSH model effectively captures the essence of electron-phonon interactions and topological phases. Its simplicity and ability to illustrate phenomena such as edge states and topologically protected modes-robust against perturbations-make it an invaluable tool for exploring more complex systems. Applications range from quantum computing to the design of novel materials with topological properties. Additionally, the SSH model serves as a critical theoretical framework for investigating symmetry-protected topological phases, providing deeper understanding of non-trivial band structures and their relevance to quantum technologies. In this article, we comprehensively examine the SSH model, covering fundamental aspects such as the Peierls distortion, electronic band structure, the mathematical foundations of the winding number, edge states, and its connection to modern polarization theory and the inversion-symmetric Rice-Mele model. Additionally, we present new analytical insights into the SSH model’s response functions, including optical conductivity and specific heat with an updated overview of recent works and developments on this model. These in-depth analysis, explanations and observations will help readers across all genres and will contribute to open intriguing avenues for further research in topological quantum matter.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883747","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