{"title":"Analytical and Numerical Solutions of the Whitham-Broer-Kaup System for Long Waves in Small-amplitude Shallow Water","authors":"Abhilash Chand, Jugal Mohapatra","doi":"10.1007/s10773-025-06024-3","DOIUrl":"10.1007/s10773-025-06024-3","url":null,"abstract":"<div><p>The principal focus of this work is to explore numerical solutions of the classical Whitham-Broer-Kaup equations using the local discontinuous Galerkin method. The numerical methodology employs an explicit strong-stability-preserving higher-order Runge-Kutta method to estimate the temporal derivatives and the local discontinuous Galerkin method to estimate the spatial derivatives, generating a large coupled ordinary differential equations system. The analytical improved <span>( (G'/G) )</span>-expansion technique is also employed in this article to obtain new exact travelling wave solutions of the governing coupled Whitham-Broer-Kaup equations. Finally, some numerical experiments are performed, and all the simulation results are displayed in several tables and various two-dimensional and three-dimensional plots, which validate the satisfactory accuracy and efficacy of the implemented method.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144090981","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}
Younes Moqine, Brahim Adnane, Aziz Khribach, Abdelghani El Houri, Ayyoub El Mouatasim, Rachid Houça
{"title":"Temporal Dynamics of Quantum Correlations and Entanglement under Tunneling Asymmetry in Double Quantum Dot Systems","authors":"Younes Moqine, Brahim Adnane, Aziz Khribach, Abdelghani El Houri, Ayyoub El Mouatasim, Rachid Houça","doi":"10.1007/s10773-025-06026-1","DOIUrl":"10.1007/s10773-025-06026-1","url":null,"abstract":"<div><p>This paper investigates the impact of asymmetry in the tunneling energies on nonlocal correlations in a coupled double quantum dot system, using quantifiers such as concurrence, local quantum uncertainty, and Bell inequality violations. Concurrence and local quantum uncertainty help identify the optimal conditions for preserving entanglement and quantum coherence, while violations of Bell inequalities highlight the nonlocal nature of the states. The study shows that asymmetry enhances the preservation of correlations over time, while symmetry leads to faster dissipation but with more pronounced short-term oscillations. These findings emphasize the crucial role of asymmetry in maintaining quantum correlations and entanglement in situations that require temporal stability.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144090979","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}
{"title":"Raman-induced Spin-tensor-momentum-coupled Bose-Einstein Condensates in 2D Radially Periodic Potentials","authors":"Ya-Jun Wang, Ya-Nan Li, Hong-Ying Jiao, Fang Kong, Xiao-Fei Zhang","doi":"10.1007/s10773-025-06019-0","DOIUrl":"10.1007/s10773-025-06019-0","url":null,"abstract":"<div><p>We consider the ground state properties of Raman-induced spin-tensor-momentum-coupled Bose-Einstein condensates trapped in a two-dimensional radially periodic potential. By simulating the Gross-Pitaevskii equations, the effects of spin-tensor-momentum coupling, detuning, and quadratic Zeeman on the ground-state phases of such a system are investigated numerically. Our results show that the system has different symmetry and a rich variety of ground state structures, such as ring, two-lobes and three-lobes, and so on, showing strong dependence on these controllable parameters.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144090964","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}
{"title":"Exploration of Novel Traveling Wave Solitons to the Conformable (3+1)-dimensional Wazwaz-Kaur-Boussinesq Equation","authors":"Mehmet Şenol, Behzad Ghanbari","doi":"10.1007/s10773-025-06018-1","DOIUrl":"10.1007/s10773-025-06018-1","url":null,"abstract":"<div><p>The article explores the conformable nonlinear Wazwaz-Kaur-Boussinesq equation in <span>((3+1))</span>-dimensions. It begins by presenting fundamental definitions and characteristics of the conformable derivative. Subsequently, the modified generalized exponential rational function method with two different structures is employed to derive exact solutions to the problem. The results are illustrated through some 3D, 2D, and contour plots of some of the obtained solutions. In addition, sensitivity and bifurcation analysis are conducted, and some related plots have been included. These solutions highlight the potential applications of the studied model in physical sciences to address real-world scenarios. The method demonstrates its ability to solve a wide range of fractional differential equations with significant results.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144084898","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}
{"title":"Determination of Fisher and Shannon Information for 1D Fractional Quantum Harmonic Oscillator","authors":"Abdelmalek Boumali, Karima Zazoua, Fadila Serdouk","doi":"10.1007/s10773-025-06016-3","DOIUrl":"10.1007/s10773-025-06016-3","url":null,"abstract":"<div><p>This work uses the Riesz-Feller fractional derivative to examine Fisher information and Shannon entropy in a one-dimensional fractional quantum harmonic oscillator. By computing the fractional derivative of the probability density function, we systematically assess these information-theoretic measures, providing deeper insights into the system’s probabilistic characteristics. In this context, we further explore the effect of the parameter <span>({upalpha })</span> on the one-dimensional fractional quantum harmonic oscillator and analyze its impact on both Fisher and Shannon parameters. We compute the position and momentum information entropies for low-lying quantum states <span>((n=0,1,2))</span> to gain a clearer understanding of the system’s behavior. Additionally, we investigate key features of Fisher and Shannon densities as well as probability distributions to identify patterns in information distribution. The study also evaluates the validity of the Stam, Cramer-Rao, and Bialynicki–Birula–Mycielski (BBM) inequalities. In particular, we examine whether the BBM inequality holds true in the form <span>(S_{x}+S_{p}ge 1+ln pi )</span>, in accordance with standard quantum mechanics. Furthermore, we analyze the complexity measure in the context of the 1D Fractional Quantum Harmonic Oscillator, uncovering an increase in disorder within position space as the quantum number <i>n</i> grows.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144084902","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}
Cholmyong Yo, Song Jon, Unil Kang, Kim Jyongyon, Hyok Jon
{"title":"Generation of Maximally Entanglement States by Quantum Particle Swarm Optimization Under the Decoherence Channel in the Two-Qubit Heisenberg XXZ Model with DM and KSEA Interaction","authors":"Cholmyong Yo, Song Jon, Unil Kang, Kim Jyongyon, Hyok Jon","doi":"10.1007/s10773-025-05994-8","DOIUrl":"10.1007/s10773-025-05994-8","url":null,"abstract":"<div><p>In this paper, we consider the dynamic evolution of quantum entanglement (QE) in a two-qubit Heisenberg XXZ spin chain under the pure phase decoherence channel. First, when a constant magnetic field in the x-, y-, and z directions is applied under the decoherence channel, the entanglement, which is one of the quantum correlations, shows entanglement sudden death (ESD) and decreases with time and approaches zero. Moreover, no matter how much the intensity of a constant magnetic field is applied, and the simultaneous application of a constant magnetic field in the x, y, and z directions, QE decreases with time due to the effect of decoherence, which indicates that a constant magnetic field cannot eliminate the effect of decoherence. To solve this problem, we apply a time-varying field rather than a constant field. In other words, at each time of evolution, the quantum particle swarm optimization algorithm is used to determine the magnetic field strength so that the decoherence effect is eliminated and the QE increases. Several simulation results show that the ESD does not occur during evolution by this method, and after a certain time it reaches the Bell state, after which the QE remains at its maximum. This provides sufficient possibilities for the use of Heisenberg spin chains as quantum channels to perform quantum information processing.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949637","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}
{"title":"Quantum Control and Multipartite Einstein-Podolsky-Rosen Steering in the Dynamical Casimir Arrays","authors":"Ruinian Li, Xinyu Ma, Yumei Long, Xue Zhang","doi":"10.1007/s10773-025-05951-5","DOIUrl":"10.1007/s10773-025-05951-5","url":null,"abstract":"<div><p>We design a one-dimensional dynamical Casimir array composed of multi-coupled superconducting waveguides to investigate the multipartite EPR steering. Calculating the covariance matrix of the system by using input-output relationships and obtain expressions for different modal EPR steering criteria. Research has shown that smaller temperature ratio, amplitude ratio, and coupling coefficient ratio in adjacent cavities can accelerate the sudden death of EPR steering. In addition, further research was conducted on the monogamy relations and shareability of EPR steering between different modes in one-dimensional dynamical Casimir arrays. We find that the synchronization and reversal of EPR steering, the rotation of monogamy relations and shareability between different modes can be achieved by adjusting the coupling coefficients. Our research provides important reference value for constructing multipartite EPR steering in higher dimensions and ensuring the security of quantum communication.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949542","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}
{"title":"Quantum Synchronization and (phi ) Synchronization in a Hybrid Optomechanical System with a Two-level Atom","authors":"J. T. Sun, H. D. Liu","doi":"10.1007/s10773-025-06011-8","DOIUrl":"10.1007/s10773-025-06011-8","url":null,"abstract":"<div><p>In this work, we analyze the effects of quantum synchronization <span>({varvec{S}}_{varvec{q}})</span> and <span>(varvec{phi })</span> synchronization <span>({varvec{S}}_{varvec{q}}^{varvec{phi }})</span> in a hybrid optomechanical system composing a representative coupled optomechanical component and a two-level atom. Although an atom may induce some perturbations to synchronization, good quantum synchronization and quantum <span>(varvec{phi })</span> synchronization can also be achieved in the hybrid optomechanical system. Moreover, we investigate the responses of the two synchronization measures on different periodic modulations in the presence and absence of an atom respectively. In addition, the effects of Kerr nonlinearity on quantum synchronization are also investigated. Our results can provide a theoretical foundation for quantum synchronization in hybrid optomechanical systems and realize some valuable applications in quantum information processing and quantum networks.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944242","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}
Beenish, Ejaz Hussain, Usman Younas, Ramiz Tapdigoglu, Mubariz Garayev
{"title":"Exploring Bifurcation, Quasi-Periodic Patterns, and Wave Dynamics in an Extended Calogero-Bogoyavlenskii-Schiff Model with Sensitivity Analysis","authors":"Beenish, Ejaz Hussain, Usman Younas, Ramiz Tapdigoglu, Mubariz Garayev","doi":"10.1007/s10773-025-06008-3","DOIUrl":"10.1007/s10773-025-06008-3","url":null,"abstract":"<div><p>In this research, we present a novel nonlinear model of the extended <span>((2+1))</span>-dimensional Calogero-Bogoyavlenskii-Schiff equation. This model builds upon the original <span>((2+1))</span>-dimensional Calogero-Bogoyavlenskii-Schiff equation by incorporating a flux term, <span>(Theta mathcal {U}_{xy})</span>, which characterizes the propagation of Riemann waves along the <span>(y)</span>-axis and long waves along the <span>(x)</span>-axis. Notably, the extended Calogero-Bogoyavlenskii-Schiff equation’s integrability is preserved with this flux term’s inclusion. The Intriguing Nature of Riemann waves holds immense significance in numerous fields, including the tumultuous tsunamis of rivers, the hidden internal waves of oceans, and the enchanting Magento-sound waves that resonate in plasmas. To unveil the mesmerizing traveling wave solutions, we employed a robust technique called the Generalized Arnous method, resulting in an array of solutions that encompass trigonometric, hyperbolic, and logarithmic functions. This remarkable technique can unveil a diverse spectrum of precise solutions, featuring vibrant bright solitons, shadowy dark ones, and elusive solitons. Through the application of the Galilean transformation, we reformulate the model into a planar dynamical system, wherein a qualitative investigation is undertaken. The bifurcation analysis of the planar dynamical system has been conducted utilizing bifurcation theory and phase portraits for dynamical analysis. The sets of bifurcation encompass the center, saddle point, and cuspidal point. Additionally, the chaotic and quasi-periodic patterns have been observed after introducing the perturbation term. The simulations show that adjusting the amplitude and frequency parameters can change the system’s dynamic behavior. Furthermore, quasi-periodic patterns are identified through chaos detection tools like Lyapunov exponent, and multi-stability analysis. Lastly, we conduct a rigorous sensitivity study to investigate how the system’s behavior changes in response to varying initial conditions. These findings offer novel contributions to studying the equations, greatly, enhancing our understanding of the dynamics in the nonlinear wave models.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944243","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}
{"title":"The Theoretical Study of (Sigma ^{+} p rightarrow Lambda a_0^{+} p) Reaction","authors":"Yan Dai, Xuan Luo, Aojia Xu, Gang Li, Mao Song","doi":"10.1007/s10773-025-06013-6","DOIUrl":"10.1007/s10773-025-06013-6","url":null,"abstract":"<div><p>We conducted a theoretical study on the process <span>(Sigma ^{+} p rightarrow Lambda a_0^{+} p)</span> based on an effective Lagrangian approach. This model encompasses the excitation of intermediate resonance leading to the production of <span>(Delta (1920))</span> through <span>(pi ^{+})</span> and <span>(K^{+})</span> meson exchanges between the initial <span>(Sigma ^{+})</span> and <i>p</i> baryons, as well as the generation of <span>(Delta (1940))</span> via <span>(pi ^{+})</span> and <span>(rho ^{+})</span> meson exchanges. We provide predictions for the total and differential cross sections and discuss the potential impacts of cut-off parameters, off-shell effects, and branching ratios of the <span>(Delta (1920) rightarrow a_0 p)</span> and <span>(Delta (1940) rightarrow a_0 p)</span> decays. Given the dominance of <span>(Delta (1940))</span> in the region close to the reaction threshold, this reaction is considered an ideal platform for exploring the features of the <span>(Delta (1940))</span> resonance.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938177","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}