Article
Mathematics
Wen-Xiu Ma
Summary: This paper presents the search for lump waves in a spatial symmetric (2+1)-dimensional dispersive wave model. Using symbolic computations with Maple and assuming positive quadratic functions, the authors generate lump waves for the proposed nonlinear model. The critical points of the lump waves, with two spatial coordinates traveling at constant speeds, are computed. The evaluation of maximum and minimum values in terms of wave numbers reveals that these extreme values do not change with time.
Article
Materials Science, Multidisciplinary
Deniu Yang, Xujie Jiang
Summary: In this paper, we investigate the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation with time-dependent properties, which is useful in describing the propagation of shallow water waves. By utilizing the bilinear formalism and symbolic computation, we obtain several solutions including line-soliton, lump, one-lump-one-stripe, and one-lump-one-soliton using different ansatze's functions. To analyze the dynamics, we utilize various plots. These obtained solutions are reliable in the fields of mathematical physics and engineering.
RESULTS IN PHYSICS
(2023)
Article
Engineering, Mechanical
Kai-Li Geng, Da-Sheng Mou, Chao-Qing Dai
Summary: The nondegenerate vector one-soliton and two-soliton solutions of the 2-coupled mixed derivative nonlinear Schrodinger equation are obtained using the Hirota bilinear method. The amplitude, intensity, and velocity of the vector one-soliton are determined by different wave numbers. The research on the collision dynamics of nondegenerate vector two-soliton indicates that energy conversion always occurs in such a coupled system. This remarkable feature provides possibilities for the design and development of optical communication in the future.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Applied
Xue-Wei Yan, Yong Chen
Summary: This study investigates a generalized nonlinear Schrodinger equation that can describe subpicosecond pulse propagation in optical fibers. By developing the Hirota method, bilinear forms and analytical soliton solutions are derived, and the dynamics of pulse solitons are analyzed based on these solutions. The results show that high-order dispersion terms can change the periodicity of propagation, and the interaction between two pulse solitons is an elastic collision. By selecting suitable parameter values, parallel solitons can be obtained, which can improve the transmission quality and capacity of information in optical fibers.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Physics, Multidisciplinary
Syed Tahir Raza Rizvi, Ishrat Bibi, Muhammad Younis, Ahmet Bekir
Summary: We studied one and two-soliton solutions for the CA equation and the Brethorton equation. The CA equation is widely used in anti-phase boundary motion and phase-field models, while the Brethorton equation is a model for dispersive wave systems used to find resonant nonlinear interaction among three linear modes. We used the Hirota bilinear method to obtain these solutions.
Article
Optics
XiaoJun Yin, QuanSheng Liu, Narenmandula, ShuTing Bai
Summary: This paper investigates soliton solutions in optical fiber systems using the variable coefficient Schroedinger equation and the Hirota bilinear method. The study discusses the impact of different variable coefficients on optical soliton amplitudes and provides insights into the interaction of soliton solutions in the context of optical communications.
Article
Engineering, Mechanical
Yuhan Li, Hongli An, Yiyuan Zhang
Summary: In this study, fission and fusion phenomena are investigated in the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. The study reveals the spatial structures of the fission and fusion solutions and explores their dynamical behaviors through numerical simulations and theoretical analysis. The findings contribute to the understanding of fission and fusion phenomena in various physical models.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Long-Xing Li
Summary: In this paper, novel lump solutions and the interaction phenomenon between lump and kink M-soliton are investigated. Evolution and degeneration behavior of kink breather wave solutions are studied for the (3+1)-dimensional Hirota-Satsuma-Ito-like equation. Novel lump solutions are derived through the limit method during the degeneration of breather waves. Interaction phenomenon between lump solutions and kink M-solitons is analyzed and the conditions for its existence are given and proved. The correctness and availability of the conditions are illustrated through the study of lump-M-solitons with different types.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Marwan Alquran, Rahaf Alhami
Summary: In this paper, Hirota's bilinear method is implemented to study the generalized perturbed-KdV equation, considering the test function approaches. Novel solutions are obtained and graphical analysis is conducted to show the physical structures of the solutions. Additionally, this work corrects previous published results and investigates the effects of nonlinearity, perturbation, and dispersion parameters on the propagation of the perturbed KdV.
NONLINEAR DYNAMICS
(2022)
Article
Physics, Multidisciplinary
Yujie Sun, Jiaojiao Wu, Biao Li
Summary: By using Hirota's bilinear method and the direct limit method, high-order rogue wave solutions can be derived based on N-soliton solutions. In this paper, the process of obtaining rogue waves is illustrated using a (3+1)-dimensional Kadomtsev-Petviashvili equation, where rogue wave solutions are generated by reconstructing the phase parameters of N-solitons based on the long-wave limit method. Besides the fundamental pattern, triangle or pentagon patterns are also obtained, and the different patterns are determined by newly introduced parameters. Finally, the general form of N-order rogue wave solutions is proposed.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2023)
Article
Engineering, Mechanical
Xing Lu, Si-Jia Chen
Summary: Interaction solutions between lump and soliton in nonlinear partial differential equations are analyzed using Hirota bilinear forms. The one-lump-multi-stripe and one-lump-multi-soliton solutions can be generated from combined solutions, and necessary and sufficient conditions for the two types of interaction solutions are presented based on the associated bilinear equations. Applications are made for various (2+1)-dimensional equations.
NONLINEAR DYNAMICS
(2021)
Article
Engineering, Electrical & Electronic
Nighat Farah, Aly R. R. Seadawy, Sarfraz Ahmad, Syed T. R. Rizvi
Summary: In this study, we will investigate the improved perturbed nonlinear Schrodinger equation with parabolic law nonlinearity using the Hirota bilinear method. We aim to identify new solitons and their interactions in our governing model, which are important in the fields of optical fiber and nonlinear optics. Different types of solitary wave solutions, such as butterfly, S and W-shaped, parabolic, dark, will be obtained. Additionally, the sine-Gordon expansion technique will be applied to the model to discover new solitary wave solutions.
OPTICAL AND QUANTUM ELECTRONICS
(2023)
Article
Mathematics, Applied
Pan Wang, Tian-Ping Ma, Feng-Hua Qi
Summary: This paper investigates the multi-soliton solutions of the CH equations and the interaction dynamics of solitons, analyzing different ways in which solitons interact and how soliton velocity can be controlled by adjusting physical parameters. Local interference between two/three solitons is observed experimentally, and the effects of parameters on the formation of peaks and holes during collisions are discussed.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Mathematics, Applied
Wenxia Chen, Ru Guan, Minjie Dong, Lixin Tian, Jingjie Ma
Summary: In this paper, the bilinear form of the Boussinesq equation is investigated using the Hirota bilinear method. The N-solitons solution and lump solution are obtained based on the presented bilinear form. Graphical analyses and establishment of new interactive solutions further enhance the understanding of the dynamic behavior of soliton and lump solutions of the equation.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
(2022)
Article
Physics, Multidisciplinary
Shaofu Wang
Summary: This paper considers a high-dimensional wave soliton equation and constructs new soliton solutions, lump soliton solutions, breather solutions, and their combined solutions using the simple Hirota method and bilinear backlund transformation. Additionally, the paper explores the physical interaction and frontal collision phenomena of these solutions and verifies the obtained results.
Article
Mathematics, Applied
Mohsan Hassan, Kamel Al-Khaled, Sami Ullah Khan, Iskander Tlili, Wathek Chammam
Summary: Non-Newtonian fluids are widely used in industry and engineering, and the boundary layer phenomenon is an important issue in fluid flow. In this study, the boundary layer phenomenon of two famous non-Newtonian fluids (pseudoplastic and dilatant) over a moving belt is simulated and analyzed. The distribution of dimensionless velocity and temperature in the boundary layer is calculated and graphically displayed. The thicknesses of momentum and thermal boundary layers, as well as the thickness of the moving fluid surface, are numerically calculated to understand the boundary layer structure and the decrease in mass flow rate and momentum flux. The study observes a trend in the development of thermal and momentum boundary layers and identifies the maximum discrepancy in mass flow rate for dilatant fluid.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2023)
Correction
Chemistry, Physical
M. M. Bhatti, M. Sheikholeslami, A. Shahid, M. Hassan, T. Abbas
COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS
(2021)
Article
Biochemical Research Methods
Mohsan Hassan, Abrar Faisal, Khurram Javid, Salahuddin Khan, Ashfaq Ahmad, Rawaiz Khan
Summary: This study investigates the effects of viscosity at low and high shear rates on the heat and mass boundary layer flow of shear thinning fluid over moving belts. The results show that viscosity parameters significantly affect the velocity and temperature distribution, and the boundary layer parameters help understand the structure of the flow.
COMBINATORIAL CHEMISTRY & HIGH THROUGHPUT SCREENING
(2022)
Article
Energy & Fuels
Abrar Faisal, Fahed Javed, Mohsan Hassan, M. R. Gorji, Sarfaraz Akram, Naim Rashid, Fahad Rehman
Summary: To meet the increasing energy demands, researchers have discovered that chicken fat could be a potential resource for biodiesel production. By analyzing the flow behavior of chicken fat and its rheological properties, it was found that chicken fat exhibits time-dependent non-Newtonian thixotropy fluid, which is significant for biodiesel production.
BIOMASS CONVERSION AND BIOREFINERY
(2023)
Article
Mathematics, Applied
Khurram Javid, Kamel Al-Khaled, Mohsan Hassan, Salah Ud-Din Khan, Ashfaq Ahmad, Shaukat Khan
Summary: The study focuses on the peristaltic motion of viscoelastic fluids in complex and curved nonuniform channels under the influence of a magnetic field. Mathematical modeling and graphical analysis are used to investigate various flow features, showing that complex pumps are more efficient in handling viscoelastic fluids compared to simple peristaltic channels, especially under curvature and magnetic effects.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2022)
Article
Thermodynamics
Mohsan Hassan, Sajid Ali, Walid Aich, Faical Khlissa, Badreddine Ayadi, Lioua Kolsi
Summary: This study investigates the impact of temperature on fluid properties using mathematical models and numerical methods. The findings show that increasing temperature leads to a reduction in viscosity and thermal conductivity, affecting velocity and temperature profiles, as well as Nusselt numbers.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Physics, Multidisciplinary
Muhammad Rizwan, Mohsan Hassan
Summary: This article investigates the flow characteristics of non-Newtonian nanofluids over moving flat surfaces and explores the influence of different nanoparticle volume fractions on the flow behavior.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Chemistry, Multidisciplinary
Muhammad Rizwan, Mohsan Hassan, Oluwole Daniel Makinde, Muhammad Mubashir Bhatti, Marin Marin
Summary: Nanofluids have improved properties that can be used to solve industrial and engineering problems. This study discusses the flow characteristics of nanofluids using experimental data and a mathematical model. The results show that nanoparticle concentration and diameter have an impact on velocity and temperature distributions.
Article
Physics, Multidisciplinary
Mohsan Hassan, Sajid Ali, Dalmir Hussain
Summary: This study develops a mathematical model for a hybrid nanofluid through the use of developed properties and modified non-Newtonian power-law models. The simplified equations of the problem are solved numerically, and the results show that the velocity profile decreases and increases with the increase in solid concentration and operating temperature, respectively, while the temperature profile increases with the variation of both parameters.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Chemistry, Analytical
Muhammad Rizwan, Mohsan Hassan, Muhammad Imran Asjad, ElSayed M. M. Tag-ElDin
Summary: This study establishes a theoretical model for the thermophysical properties of nanofluids based on experimental data, and applies it to the study of flow characteristics on both plates and wedges. The results show that, under the same conditions, flow over plates leads to larger changes in velocity and temperature profiles compared to flow over wedges.
Article
Thermodynamics
Mohsan Hassan, Muhammad Rizwan
Summary: This study investigates the boundary layer flow of PEG-based nanofluids over a moving wedge and plate, analyzing their heat and mass transfer characteristics using the Burger model with Maxwell representation. Experimental data suggests that increasing the nanoparticle volume fraction results in a decrease in velocity profile and an increase in temperature profile.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2023)
Article
Mathematics, Applied
Mohsan Hassan, Muhammad Rizwan
Summary: The study focuses on the flow characteristics of homogeneous non-Newtonian nanofluid over a horizontal moving thin needle using an experimental data-based mathematical approach. The influence of volume fractions and nanoparticles diameter on velocity and temperature distribution is discussed through graphical results. The results demonstrate the importance of applying a non-Newtonian model for nanofluid flow instead of a Newtonian model.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Multidisciplinary Sciences
Mohsan Hassan, Muhammad Ahsan, Usman, Metib Alghamdi, Taseer Muhammad
Summary: Shear thinning fluids with unique flow characteristics are widely used in the food and polymer industries. This study investigates the transport characteristics of a Powell Eyring fluid under different shear rates and calculates the rate of entropy generation. The results show that velocity and temperature profiles change with the time scale parameter.
SCIENTIFIC REPORTS
(2023)
Article
Nanoscience & Nanotechnology
Kamel Al-Khaled, Mohsan Hassan, Hedi Eelmonser, Mohamed Ayadi, Wathek Chammam, Sami Ullah Khan
Summary: This investigation explores the development and structure of hybrid nanofluid using a rotating disk. It examines the potential of heat transfer with uniformly suspended silver nanoparticles and copper nanomaterial. The thermo-hydrodynamic theory of nanomaterials is applied to establish the governing expressions for the hybrid nanofluid model. The study also investigates the velocity change and enhancement of heat transfer along the radial direction.
JOURNAL OF NANOFLUIDS
(2023)
Article
Computer Science, Interdisciplinary Applications
Vitaly Chernik, Pavel Buklemishev
Summary: The paper introduces a simple 2D model for describing the cell motility on a homogeneous isotropic surface. The model incorporates the dynamics of complex actomyosin liquid, which affects the boundary dynamics and cell motility. It consists of a system of equations with a free boundary domain and includes a non-local term. The numerical solution of this model is presented in this work.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Hasan Karjoun, Abdelaziz Beljadid
Summary: In this study, we developed a numerical model based on the depth-averaged shallow water equations to simulate flows through vegetation field. The model takes into account the drag and inertia forces induced by vegetation, using different formulations for the stem drag coefficient. Turbulence induced by vegetation is also considered through the addition of diffusion terms in the momentum equations. The proposed numerical model is validated through numerical simulations and shows good accuracy in simulating overland flows under vegetation effects.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Bechir Naffeti, Hamadi Ammar, Walid Ben Aribi
Summary: This paper proposes a branch and bound multidimensional Holder optimization method, which converts a multivariate objective function into a single variable function and minimizes it using an iterative optimization method. The method is applied to solve a parameters identification problem resulting from the increase in infections, providing information about the prevalence and infection force.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Heba F. Eid, Erik Cuevas, Romany F. Mansour
Summary: The proposed modified Bonobo optimizer algorithm dynamically adjusts the trajectory of each search agent to overcome the flaw of the original algorithm and improve the performance and solution quality by exploring and exploiting different regions of the solution space.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Farshid Mehrdoust, Idin Noorani, Juho Kanniainen
Summary: This paper proposes a Markov-switching model to evaluate the dynamics of commodity futures and spot prices, and introduces a hidden Markov chain to model the sudden jumps in commodity prices. The model is calibrated using the crude oil spot price and estimation-maximization algorithm. The study also evaluates European call options written on crude oil futures under the regime-switching model and derives Greek formulas for risk assessment. The importance of this paper is rated at 8 out of 10.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Rupa Mishra, Tapas Kumar Saha
Summary: This paper presents a control scheme for distributed generation units to operate in stand-alone and grid-connected modes, with a smooth transition between the two. The control strategy includes predictive control for voltage and frequency regulation in stand-alone mode, and power control for symmetrical and unbalanced grid voltage conditions in grid-connected mode. The proposed control method improves power factor, reduces grid current harmonics, and eliminates grid frequency ripple.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Yu Wang, Yang Tian, Yida Guo, Haoping Wang
Summary: This paper proposes a multi-level control strategy for lower limb patient-exoskeleton coupling system (LLPECS) in rehabilitation training based on active torque. The controller consists of three sub-controllers: gait adjustment layer, interaction torque design layer, and trajectory tracking layer. The effectiveness of the proposed control strategy is demonstrated through co-simulations in the SimMechanics environment using an exoskeleton virtual prototype developed in SolidWorks.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Takuji Arai, Yuto Imai
Summary: The Barndorff-Nielsen and Shephard model is a jump-type stochastic volatility model, and this paper proposes two simulation methods for computing option prices under a representative martingale measure. The performance of these methods is evaluated through numerical experiments.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Wanai Li
Summary: This paper proposes a new framework that combines quadrature-based and quadrature-free discontinuous Galerkin methods and applies them to triangular and tetrahedral grids. Four different DG schemes are derived by choosing specific test functions and collocation points, improving computational efficiency and ease of code implementation.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Xiyuan Chen, Qiubao Wang
Summary: This paper introduces a technique that combines dynamical mechanisms and machine learning to reduce dimensionality in high-dimensional complex systems. The method utilizes Hopf bifurcation theory to establish a model paradigm and utilizes machine learning to train location parameters. The effectiveness and robustness of the proposed method are tested and validated through experiments and simulations.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Muhammad Farman, Aqeel Ahmad, Anum Zehra, Kottakkaran Sooppy Nisar, Evren Hincal, Ali Akgul
Summary: Diabetes is a significant public health issue that affects millions of people worldwide. This study proposes a mathematical model to understand the mechanisms of glucose homeostasis, providing valuable insights for diabetes management. The model incorporates fractional operators and analyzes the impact of a new wave of dynamical transmission on equilibrium points, offering a comprehensive understanding of glucose homeostasis.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Gholamreza Shobeyri
Summary: This study introduces two improved Laplacian models for more accurate simulation of free surface flows in the context of the MPS method. The higher accuracy of these models compared to the traditional methods is verified through solving 2D Poisson equations and solving three benchmark free surface flow problems. These models can also resolve the issue of wave damping in the original MPS computations.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Qiang Li, Jinling Liang, Weiqiang Gong, Kai Wang, Jinling Wang
Summary: This paper addresses the problem of nonfragile state estimation for semi-Markovian switching complex-valued networks with time-varying delay. By constructing an event-triggered generator and solving matrix inequalities, less conservative criteria are obtained, and the gains of the nonfragile estimator are explicitly designed. A numerical example is provided to demonstrate the effectiveness of the proposed estimation scheme.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Gengen Zhang, Jingyu Li, Qiong-Ao Huang
Summary: In this paper, a novel class of unconditionally energy stable schemes are constructed for solving gradient flow models by combining the relaxed scalar auxiliary variable (SAV) approach with the linear multistep technique. The proposed schemes achieve second-order temporal accuracy and strictly unconditional energy stability.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
S. Clain, J. Figueiredo
Summary: This study proposes a detailed construction of a very high-order polynomial representation and introduces a functional to assess the quality of the reconstruction. Several optimization techniques are implemented and their advantages in terms of accuracy and stability are demonstrated.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
