Article
Computer Science, Interdisciplinary Applications
Guo-Dong Zhang, Xiaoming He, Xiaofeng Yang
Summary: This paper proposes an effective numerical scheme to address the numerical challenges of highly coupled nonlinear incompressible MHD systems, achieving unconditional energy stability, decoupled structure, and second-order time accuracy. The scheme combines a novel decoupling technique, second-order projection method, and finite element method, proving efficiency and stability through various simulations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mechanics
Isabelle Bouchoule, Jerome Dubail
Summary: This article reviews the recent progress in the generalized hydrodynamics (GHD) behavior of the one-dimensional Bose gas with contact repulsive interactions, known as the Lieb-Liniger gas. The theory and key concepts of the Lieb-Liniger gas, including rapidities and rapidity distribution, are introduced. The asymptotic regimes and approximate descriptions of the Lieb-Liniger gas are presented. Experimental results in cold atom experiments, including the realization of the Lieb-Liniger model and tests of the GHD theory, are discussed. The effects of atom losses and some open questions are also reviewed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Mathematics, Interdisciplinary Applications
Jun-Cai Pu, Yong Chen
Summary: An improved physics-informed neural network (IPINN) algorithm is proposed to obtain data-driven vector localized waves and parameter discovery, and achieves better training results for unknown parameters by introducing a parameter regularization strategy.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Naveed Ishtiaq Chaudhary, Muhammad Asif Zahoor Raja, Zeshan Aslam Khan, Ammara Mehmood, Syed Muslim Shah
Summary: In recent years, there has been a trend in developing fractional gradient-based iterative adaptive strategies through exploring the dynamics of fractional and fractal systems. In this study, a fractional hierarchical gradient descent (FHGD) is proposed for effectively solving the nonlinear system identification problem. The FHGD algorithm is successfully applied to estimate the parameters of nonlinear control autoregressive (NCAR) systems under different fractional orders and noise conditions, and it shows improved performance compared to the standard hierarchical gradient descent (HGD) algorithm.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Zhao Li
Summary: This paper studies the dynamical behavior, optical soliton solution, and traveling wave solution of the fractional Biswas-Arshed equation with the beta time derivative using the theory of planar dynamical systems. By simplifying the equation and plotting phase portraits, the optical soliton solution and traveling wave solution are obtained.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Fluids & Plasmas
Fatemeh Parastesh, Karthikeyan Rajagopal, Sajad Jafari, Matjaz Perc, Eckehard Scholl
Summary: This paper studies the synchronization of a network with linear diffusive coupling that blinks between the variables periodically. The stability of the synchronous solution is shown to depend only on the averaged coupling and not on the instantaneous coupling. The effect of the blinking period on network synchronization is examined using the Hindmarsh-Rose model. The results demonstrate that decreasing the blinking period reduces the required coupling strength for synchrony and leads to enhanced synchronization compared to single-variable coupling.
Article
Mathematics, Interdisciplinary Applications
Danfeng Luo, Mengquan Tian, Quanxin Zhu
Summary: This article investigates the finite-time stability of stochastic fractional-order delay differential equations. The equivalent form of the system is derived using Laplace transformation and inverse transformation. The uniqueness of the solution is proven by defining the maximum weighted norm in Banach space and using the principle of contraction mapping. Furthermore, the criteria for finite-time stability of the system with and without impulses are derived using HenryGronwall delay inequality and interval translation. Examples are provided to verify the correctness of the results.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
S. A. El-Tantawy, Alvaro H. Salas, Haifa A. Alyousef, M. R. Alharthi
Summary: This study derives general analytical approximations using the ansatz method for studying nonlinear structures in nonplanar geometries. The obtained formulas are validated numerically and applied to investigate nonlinear phenomena in dusty plasmas. These results are important for dealing with nonlinear phenomena in different plasma models and other scientific branches.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Fluids & Plasmas
Deepak Vinod, Andrey G. Cherstvy, Wei Wang, Ralf Metzler, Igor M. Sokolov
Summary: In this study, we derived ensemble- and time-averaged mean-squared displacements (MSD, TAMSD) for Poisson-reset geometric Brownian motion (GBM), which is in agreement with simulations. We found that MSD and TAMSD reach saturation under frequent resetting, and quantified the spread of TAMSDs using the ergodicity-breaking parameter. We also computed price distributions and proved the general nonequivalence between MSD and TAMSD, indicating that reset GBM is nonergodic.
Article
Quantum Science & Technology
Tian-Yu Ye, Mao-Jie Geng, Tian-Jie Xu, Ying Chen
Summary: In this paper, an efficient semiquantum key distribution (SQKD) protocol based on single photons is proposed. The protocol allows a quantum communicant to distribute a random private key to a classical communicant without the need for quantum memory or unitary operation equipment. The complete robustness of single photon transmissions between the two communicants is validated. Compared with existing protocols, this protocol has higher quantum communication efficiency and double quantum communication capacity.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Mathematics, Interdisciplinary Applications
Ramesh Ramamoorthy, Karthikeyan Rajagopal, Gervais Dolvis Leutcho, Ondrej Krejcar, Hamidreza Namazi, Iqtadar Hussain
Summary: This paper proposes and investigates a new memristive chaotic system with dynamic behavior. The system has a bias term that adjusts the symmetry of the model, leading to both homogeneous and heterogeneous behaviors. Various phenomena such as symmetric attractors, bifurcations, and transitions to chaos are observed in different system configurations. The amplitude and offset of chaotic signals can be controlled for practical applications. Additionally, the control technique based on linear augmentation is effective for controlling coexisting solutions in the novel memristive system.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Yuan Shen, Bo Tian, Tian -Yu Zhou, Xiao-Tian Gao
Summary: This paper investigates nonlinear differential-difference equations that appear in optics, condensed matter physics, plasma physics, and other fields. The authors analyze a specific nonlinear differential-difference hierarchy and obtain the Lax pair and conservation laws under specific conditions. The explicit exact solutions and graphical representations of the equation in certain cases are also explored.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Houria Triki, Qin Zhou, Wenjun Liu, Anjan Biswas, Luminita Moraru, Yakup Yildirim, Hashim M. Alshehri, Milivoj R. Belic
Summary: This article addresses the propagation of ultrashort light pulses in a birefringent optical fiber with various dispersion effects. The dynamics of the pulses are described by the coupled Fokas-Lenells equations, which provide an accurate description of pulse evolution in the femtosecond range. The study reports the first analytical demonstration of chirped solitons in a birefringent fiber medium and discusses their formation and characteristics.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Wei Gao, Haci Mehmet Baskonus
Summary: The main aim of this paper is to analyze a modified epidemiological model called Susceptible-Infected-Removed model with an additional antidotal population compartment called A (SIRA). The authors used fractional natural decomposition method (FNDM) and variational iteration method (VIM) to solve the governing model and explore wave behaviors of infection viruses in computer science. Furthermore, the paper also discussed numerical investigations and strain conditions for optimal parameter values to minimize the impact of computer viruses. The uniqueness of the Caputo operator was proven using Lipschitz condition theorem and Banach space, and various wave distributions of virus nature were illustrated in plots.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Fluids & Plasmas
Nerea Sebastian, Martin Copic, Alenka Mertelj
Summary: This article provides an overview of the development and properties of materials exhibiting ferroelectric nematic phases, highlighting the significant observations of giant dielectric permittivity values, polarization values an order of magnitude larger than in classical ferroelectric liquid crystals, and comparable nonlinear optical coefficients to several ferroelectric solid materials. Key observations of anchoring and electro-optic behavior are also examined. The collected contributions lead to a final discussion on the challenges in materials development, theoretical description, experimental explorations, and potential applications of the ferroelectric phases.
Article
Computer Science, Interdisciplinary Applications
A. V. Smirnov, N. D. Shapurov, L. I. Vysotsky
Summary: This paper introduces a new version of the FIESTA program, FIESTA5, which improves the speed of Feynman integral evaluation through various enhancements. The new release includes two new integrators, Quasi Monte Carlo and Tensor Train, and the old code of FIESTA4 has been upgraded and mostly rewritten. It also offers several essential improvements for complex integrations, enabling the program to produce previously impossible results.
COMPUTER PHYSICS COMMUNICATIONS
(2022)
Article
Physics, Applied
A. Akbulut, M. Mirzazadeh, M. S. Hashemi, K. Hosseini, S. Salahshour, C. Park
Summary: This paper utilizes symmetry reduction and Nucci's reduction methods to obtain exact solutions of the Triki-Biswas equation, and also introduces a new conservation theorem to identify conservation laws of the model. The derived conservation laws for each symmetry of the equation satisfy the divergence condition, and 3D, contour, and 2D figures are plotted to demonstrate the dynamics of the solutions.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Mathematics, Interdisciplinary Applications
Ali Raza, Abuzar Ghaffari, Sami Ullah Khan, Absar Ul Haq, M. Ijaz Khan, M. Riaz Khan
Summary: In this study, the magnetohydrodynamics (MHD) fluid flow through a porous medium flowing on an erect vertical plate is investigated. The effects of mass and heat transfer through ramped temperature, thermal radiation, and slip conditions in the energy equation are considered. The recent definition of Atangana-Baleanu (AB) time-fractional derivative operator is used to explore the numerical results of the problem.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Applied
Omar Abu Arqub, Banan Maayah
Summary: This paper introduces the TFMIADM model and its constraints, and reviews the formation of the model using the RKHSM computational approach. The solutions and modeling of the model based on Caputo's connotation of the partial time derivative are discussed. The paper presents the scores required to construct the method and discusses various theories such as solutions representations, convergence restriction, and order of error. The numeric-analytic solutions are expressed using the Fourier functions expansion rule, with the effectiveness and adaptation of the approach illustrated through drawings and tables. Viewpoints and highlights are presented alongside the most important modern references used.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Computer Science, Interdisciplinary Applications
Apostolos F. Psaros, Kenji Kawaguchi, George Em Karniadakis
Summary: In this paper, a meta-learning technique for offline discovery of physics-informed neural network (PINN) loss functions is proposed. A gradient-based meta-learning algorithm is developed to address diverse task distributions based on parametrized partial differential equations (PDEs) solved with PINNs. The computational examples show that using meta-learned losses can significantly improve performance in regression and PDE task distributions.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
