Article
Automation & Control Systems
Majid Ghorbani
Summary: This paper investigates the robust stabilization of interval fractional-order plants with complex uncertain parameters using fractional-order controllers. Necessary and sufficient conditions for stabilization are presented using a graphical approach, as well as a stability checking function and an upper frequency bound to reduce computational burden.
Article
Mathematics, Interdisciplinary Applications
Elham Bahrampour, Mohammad Hassan Asemani, Maryam Dehghani
Summary: This paper investigates the issue of robust synchronization for delayed incommensurate fractional-order gene regularity networks (IFOGRNs). It proposes a novel fractional Lyapunov-based scheme for analyzing the IFOGRNs without linearization and conversion. The paper also introduces a novel adaptive based controller to achieve asymptotic stability even with dissimilar parameter uncertainties.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Automation & Control Systems
Jun-Guo Lu, Zhen Zhu, Ying-Dong Ma
Summary: This paper focuses on the robust stability and stabilization problems of multi-order fractional-order systems (MOFOSs) with interval uncertainties. New sufficient conditions for stability and robust stability conditions for uncertain systems are proposed, with results in the form of linear matrix inequalities. State feedback controllers are designed to stabilize both nominal and uncertain systems, with numerical examples provided to verify the effectiveness of the results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Lorenz Josue Oliva-Gonzalez, Rafael Martinez-Guerra, Juan Pablo Flores-Flores
Summary: This paper proposes a novel fractional observer based on observability for incommensurate fractional order systems with parametric uncertainties. The observer design only considers the available output and its fractional derivatives, and it does not require a system copy, which provides robustness and reduced order. The effectiveness of the proposed observer is demonstrated with numerical and real-world examples.
Article
Mathematics, Applied
Mohammad Tavazoei, Mohammad Hassan Asemani
Summary: This paper investigates the stability of time-delay incommensurate fractional-order systems and proposes a formula and method to find the maximum allowable delay that guarantees stability.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Automation & Control Systems
Xinyao Li, Jinsong He, Changyun Wen, Xiao-Kang Liu
Summary: An adaptive backstepping controller is proposed in this article for a class of incommensurate fractional-order nonlinear systems. The controller is designed to achieve asymptotic perfect output tracking by dealing with uncertainties and unknown disturbances through appropriate adaptive laws, while obtaining a smooth control signal using an auxiliary function. Simulation and experimental studies demonstrate the effectiveness of the proposed control scheme.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2022)
Article
Automation & Control Systems
Majid Ghorbani, Mahsan Tavakoli-Kakhki, Aleksei Tepljakov, Eduard Petlenkov
Summary: The focus of this work is the study on the robust stability of the classic Smith predictor-based control system for uncertain fractional-order plants with interval time delays and interval coefficients. Interval uncertainties, which are unavoidable in real-world plant modeling, are considered. The study also assumes a fractional-order proportional integral derivative (FOPID) controller in the Smith predictor control structure. This study makes three primary contributions: i) construction of necessary and sufficient conditions using a graphical method to examine the robust stability of the Smith predictor-based fractional-order control system; ii) introduction of an auxiliary function as a robust stability testing function to simplify the analysis; and iii) proposal of two auxiliary functions to meet the control requirements on disturbance rejection and noise reduction. Numerical examples and an experimental verification are provided to demonstrate the effectiveness and significance of the proposed technique.
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
(2023)
Article
Engineering, Mechanical
Ramasamy Kavikumar, Rathinasamy Sakthivel, Oh-Min Kwon, Palanisamy Selvaraj
Summary: This paper investigates the tracking control problem of interval type-2 fractional-order Takagi-Sugeno fuzzy systems with time-varying delays, using uncertainty and disturbance estimator. The results show that the tracking performance of the control system can be improved by introducing the uncertainty and disturbance estimator.
NONLINEAR DYNAMICS
(2022)
Article
Automation & Control Systems
Majid Ghorbani, Mahsan Tavakoli-Kakhki
Summary: This paper deals with the robust stability analysis of a class of incommensurate fractional order quasi-polynomials with a general type of interval uncertainties. The computational complexity of specifying the robust stability is shown, and it is demonstrated that the robust stability of a fractional order quasi-polynomial involving the general type of uncertainty can be simply investigated without needing heavy computations. Examples are provided to attest the validity of the results.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2021)
Article
Mathematics, Applied
Qing-Hao Zhang, Jun-Guo Lu
Summary: This paper addresses the problems of robust stability of fractional-order systems with mixed uncertainties and proposes necessary conditions and algorithms. The applicability and effectiveness of the developed methods are demonstrated through numerical examples.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Applied
Zhen Zhu, Jun-Guo Lu
Summary: This paper introduces hybrid fractional-order multi-dimensional systems described by the Roesser model. It presents stability conditions and robustness conditions, and uses illustrative examples to demonstrate the effectiveness and less conservatism of the results.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Engineering, Mechanical
D. Vignesh, Santo Banerjee
Summary: This article investigates the chaotic behavior of the 2-D vocal dynamical system using commensurate and incommensurate fractional order Caputo difference operator. The analysis shows that the behavior of the system changes with different fractional orders, highlighting the importance of employing incommensurate order models in real-life modeling.
NONLINEAR DYNAMICS
(2023)
Article
Automation & Control Systems
Elham Bahrampour, Mohammad Hassan Asemani, Maryam Dehghani, Mohammad Tavazoei
Summary: This paper focuses on the distributed consensus control of heterogeneous fractional-order multiagent systems with interval uncertainties. Unlike previous methods, no restrictive assumptions are made on the fractional-orders of the agents, allowing for non-identical fractional-orders. New Lyapunov-based LMI conditions are proposed to design a systematic controller, suitable for determining state feedback controller gains. The effectiveness of the results is verified through numerical examples.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Ri Liu, Zhe Wang, Xuefeng Zhang, Jianxu Ren, Qinglong Gui
Summary: This paper investigates a class of variable-order fractional interval systems in which the system matrices are affected by the fractional order. Sufficient conditions for robust stability and stabilization conditions subject to actuator saturation are proposed. The stability region is estimated using an optimization problem, and three numerical examples are provided to verify the effectiveness of the results.
FRACTAL AND FRACTIONAL
(2022)
Article
Engineering, Multidisciplinary
Mohd Taib Shatnawi, Noureddine Djenina, Adel Ouannas, Iqbal M. Batiha, Giuseppe Grassi
Summary: This work presents novel convenient conditions to ensure the asymptotic stability of nonlinear incommensurate Fractional-order Difference Systems (FoDSs). By utilizing features of the Z-transform scheme, the aim is to reveal the stability of systems formulated in the sense of the Caputo difference operator.
ALEXANDRIA ENGINEERING JOURNAL
(2022)
Article
Engineering, Biomedical
Farnoosh Rahmanian, Mohammad Hassan Asemani, Maryam Dehghani, Saleh Mobayen
Summary: This paper addresses the robust control problem in a model of blood glucose system in Type-1 diabetic rats with disturbances and model uncertainties. The robust control law and descriptor Kalman filter are designed to maintain blood glucose level within the normal range successfully.
BIOMEDICAL SIGNAL PROCESSING AND CONTROL
(2022)
Article
Automation & Control Systems
Navid Vafamand, Mohammad Mehdi Arefi, Mohammad Hassan Asemani, Tomislav Dragicevic
Summary: This article presents a novel decentralized controller for multi-area secondary load frequency control (LFC) of power systems. The proposed robust-adaptive approach estimates external disturbance input and uncertainties, and a disturbance-observer state-feedback controller is designed. Controller design conditions are derived in terms of linear matrix inequality constraints, making it easy to obtain controller gains. The controller is modified through a heuristic genetic algorithm for enhanced steady-state performance. The developed approach reduces cost and the number of measuring units, and is robust against power fluctuations. Experiments confirm the superior performance and robustness of the controller.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2022)
Article
Automation & Control Systems
Fatemeh Sedghi, Shekoufeh Neisarian, Mohammad Mehdi Arefi, Mohammad Hassan Asemani, Navid Vafamand
Summary: This paper investigates novel practical finite-time robust adaptive controllers for a 5-link single support phase (SSP) lower limb biped robot. The approach utilizes a terminal sliding surface and finite-time stability analysis to design the controller and adaptation laws. Numerical simulations demonstrate the feasibility, effectiveness, and performance enhancement of the proposed methods, even in the presence of unknown physical and dynamical parameters and input saturation.
INTERNATIONAL JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Kazem Zare, Mokhtar Shasadeghi, Taher Niknam, Mohammad Hassan Asemani, Saleh Mobayen
Summary: This paper proposes a sliding mode control (SMC) method using a novel dynamic sliding surface for multi-input multi-output (MIMO) nonlinear systems. The control design provides a robust approach with additional degrees of freedom to satisfy the control input constraint. By decomposing the original system into subsystems and modeling the coupling dynamic terms as system uncertainties, the proposed method achieves a robust control performance. The adaptive law is designed to estimate the upper bounds of uncertainties. The effectiveness of the proposed controller is evaluated through a benchmark quadruple-tank process (QTP).
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2022)
Article
Acoustics
Nahid Abbasi, Maryam Dehghani, Mohammad Hasan Asemani, Roozbeh Abolpour, Mohsen Mohammadi
Summary: This paper presents a novel approach for designing an optimal robust observer for polytopic systems using the direct searching method and the concept of inverse systems. By determining the sub-regions of the observer design space that can make the estimation error dynamics asymptotically stable through the direct searching algorithm, the optimal H-infinity gain of the observer is found. Simulation results demonstrate the effectiveness of the proposed algorithm.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Automation & Control Systems
Sepide Yazdi, Alireza Khayatian, Mohammad Hassan Asemani, Navid Vafamand
Summary: This study addresses the design problem of continuous-time nonlinear dynamics modeled by TS fuzzy form. The proposed method achieves exponential convergence of system state trajectories to the equilibrium point by designing DOFC without reset action using LMI technique, and optimizes the reset time points through a genetic algorithm.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Engineering, Multidisciplinary
Navid Vafamand, Mohammad Mehdi Arefi, Mohammad Hassan Asemani, Mohammad Sadegh Javadi, Fei Wang, Joao P. S. Catalao
Summary: This article investigates the issue of a state estimation-based fault-tolerant controller for direct current (dc) microgrids. A novel dual-Extended Kalman filter is proposed to simultaneously estimate the system states and faults, which are then deployed in a nonlinear Takagi-Sugeno fuzzy predictive controller. Experimental results demonstrate that the proposed method outperforms existing techniques in terms of fault tolerance and robustness.
IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS
(2022)
Article
Automation & Control Systems
Farnoosh Rahmanian, Mohammad Hassan Asemani
Summary: The purpose of this article is to address the design of stabilizing controller for linear parameter varying positive systems with multiple time-invariant delays. The proposed control strategy includes a parameter varying state-feedback controller. A Lyapunov approach is utilized to provide a complete solution to the design problem. The effectiveness of the obtained outcomes is guaranteed by presenting a practical example of a deep brain stimulation system used in Parkinson's treatment.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Computer Science, Artificial Intelligence
Roozbeh Abolpour, Parisa Moradi, Mohammad Hassan Asemani
Summary: This article presents a novel approach for stability analysis of TS fuzzy models using a minimum-type multiple switching Lyapunov function. The method involves meshing the model space, considering quadratic functions for each vertex of the mesh, and proposing a set of conditions based on the declared quadratic functions. The conditions can be categorized into local and discontinuity conditions, exploiting local stability in each simplex of the mesh and enforcing the global Lyapunov function to decrement in the switching points. Comparative simulation examples are provided to validate the performance of the proposed approach.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2022)
Article
Engineering, Biomedical
Reza Najarzadeh, Mohammad Hassan Asemani, Maryam Dehghani, Mokhtar Shasadeghi
Summary: This paper focuses on modeling and proposing a suitable controller for the control of coronavirus disease. A T-S fuzzy model is used to represent the covid-19 outbreak, and multiple optimization techniques are employed to propose a suitable controller. Simulation and comparative analysis demonstrate the effectiveness of the suggested control interventions and policies in controlling the hazards of the outbreak.
BIOMEDICAL SIGNAL PROCESSING AND CONTROL
(2023)
Article
Green & Sustainable Science & Technology
Elham Bahrampour, Maryam Dehghani, Mohammad Hassan Asemani, Roozbeh Abolpour
Summary: Load frequency control is a controversial topic in power systems, particularly in shipboard microgrids. To address the frequency disruptions caused by weather conditions or load changes, a fractional-order dynamic output feedback controller is proposed. Experimental results demonstrate that the controller effectively mitigates disturbances and exhibits robust performance in the presence of parameter variations and communication time delays.
IET RENEWABLE POWER GENERATION
(2023)
Article
Automation & Control Systems
Elham Bahrampour, Mohammad Hassan Asemani, Maryam Dehghani, Mohammad Tavazoei
Summary: This paper focuses on the distributed consensus control of heterogeneous fractional-order multiagent systems with interval uncertainties. Unlike previous methods, no restrictive assumptions are made on the fractional-orders of the agents, allowing for non-identical fractional-orders. New Lyapunov-based LMI conditions are proposed to design a systematic controller, suitable for determining state feedback controller gains. The effectiveness of the results is verified through numerical examples.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Proceedings Paper
Engineering, Electrical & Electronic
Mahmood Fadaei, Mohammad Hassan Asemani, Peyman Setoodeh, Mohammad Esmaeli
Summary: This paper discusses the stabilization problem of self-balancing two-wheeled scooters and presents a state feedback controller designed using a linear model and data-driven method.
2022 10TH RSI INTERNATIONAL CONFERENCE ON ROBOTICS AND MECHATRONICS (ICROM)
(2022)
Proceedings Paper
Green & Sustainable Science & Technology
Soroush Azizi, Mohammad Hassan Asemani, Navid Vafamand, Saleh Mobayen, Afef Fekih
Summary: This work presents a novel robust linear output-feedback controller for ensuring closed-loop stability and disturbance reduction in nonlinear wind turbine systems. The controller is designed using numerical mu-synthesis and mixed mu-synthesis methods, providing a low online computational burden. By using only measurements of the wind turbine, the controller eliminates the need for additional sensors or signal processing methods. The proposed controller effectively handles parameter uncertainties and external disturbances, as demonstrated by simulation results. A comparison with a H-infinity control approach shows the superior performance of the proposed controller, particularly in terms of fast convergence rate of the controlled outputs to their desired values.
2022 IEEE INTERNATIONAL CONFERENCE ON ENVIRONMENT AND ELECTRICAL ENGINEERING AND 2022 IEEE INDUSTRIAL AND COMMERCIAL POWER SYSTEMS EUROPE (EEEIC / I&CPS EUROPE)
(2022)
Article
Computer Science, Information Systems
Soroush Azizi, Mohammad Hassan Asemani, Navid Vafamand, Saleh Mobayen, Afef Fekih
Summary: This paper proposes a neural network-based adaptive linear parameter varying controller for improving the stability and performance of DC microgrids. The controller utilizes operating information from all power sources to manipulate each component, resulting in enhanced stability margin and fast regulation of power and voltage. The controller design algorithm is systematic and fully offline.
Article
Mathematics, Applied
Hao Liu, Yuzhe Li
Summary: This paper investigates the finite-time stealthy covert attack on reference tracking systems with unknown-but-bounded noises. It proposes a novel finite-time covert attack method that can steer the system state into a target set within a finite time interval while being undetectable.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Nikolay A. Kudryashov, Aleksandr A. Kutukov, Sofia F. Lavrova
Summary: The Chavy-Waddy-Kolokolnikov model with dispersion is analyzed, and new properties of the model are studied. It is shown that dispersion can be used as a control mechanism for bacterial colonies.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Qiang Ma, Jianxin Lv, Lin Bi
Summary: This paper introduces a linear stability equation based on the Boltzmann equation and establishes the relationship between small perturbations and macroscopic variables. The numerical solutions of the linear stability equations based on the Boltzmann equation and the Navier-Stokes equations are the same under the continuum assumption, providing a theoretical foundation for stability research.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Samuel W. Akingbade, Marian Gidea, Matteo Manzi, Vahid Nateghi
Summary: This paper presents a heuristic argument for the capacity of Topological Data Analysis (TDA) to detect critical transitions in financial time series. The argument is based on the Log-Periodic Power Law Singularity (LPPLS) model, which characterizes financial bubbles as super-exponential growth (or decay) with increasing oscillations approaching a tipping point. The study shows that whenever the LPPLS model fits the data, TDA generates early warning signals. As an application, the approach is illustrated using positive and negative bubbles in the Bitcoin historical price.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Xavier Antoine, Jeremie Gaidamour, Emmanuel Lorin
Summary: This paper is interested in computing the ground state of nonlinear Schrodinger/Gross-Pitaevskii equations using gradient flow type methods. The authors derived and analyzed Fractional Normalized Gradient Flow methods, which involve fractional derivatives and generalize the well-known Normalized Gradient Flow method proposed by Bao and Du in 2004. Several experiments are proposed to illustrate the convergence properties of the developed algorithms.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Lianwen Wang, Xingyu Wang, Zhijun Liu, Yating Wang
Summary: This contribution presents a delayed diffusive SEIVS epidemic model that can predict and quantify the transmission dynamics of slowly progressive diseases. The model is applied to fit pulmonary tuberculosis case data in China and provides predictions of its spread trend and effectiveness of interventions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shuangxi Huang, Feng-Fei Jin
Summary: This paper investigates the error feedback regulator problem for a 1-D wave equation with velocity recirculation. By introducing an invertible transformation and an adaptive error-based observer, an observer-based error feedback controller is constructed to regulate the tracking error to zero asymptotically and ensure bounded internal signals.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Weimin Liu, Shiqi Gao, Feng Xu, Yandong Zhao, Yuanqing Xia, Jinkun Liu
Summary: This paper studies the modeling and consensus control of flexible wings with bending and torsion deformation, considering the vibration suppression as well. Unlike most existing multi-agent control theories, the agent system in this study is a distributed parameter system. By considering the mutual coupling between the wing's deformation and rotation angle, the dynamics model of each agent is expressed using sets of partial differential equations (PDEs) and ordinary differential equations (ODEs). Boundary control algorithms are designed to achieve control objectives, and it is proven that the closed-loop system is asymptotically stable. Numerical simulation is conducted to demonstrate the effectiveness of the proposed control scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Gourav Mandal, Lakshmi Narayan Guin, Santabrata Chakravarty
Summary: The ecological framework investigates the dynamical complexity of a system influenced by prey refuge and alternative food sources for predators. This study provides a thorough investigation of the stability-instability phenomena, system parameters sensitivity, and the occurrence of bifurcations. The bubbling phenomenon, which indicates a change in the amplitudes of successive cycles, is observed in the current two-dimensional continuous system. The controlling system parameter for the bubbling phenomena is found to be the most sensitive. The prediction and identification of bifurcations in the dynamical system are crucial for theoretical and field researchers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Damian Trofimowicz, Tomasz P. Stefanski, Jacek Gulgowski, Tomasz Talaska
Summary: This paper presents the application of control engineering methods in modeling and simulating signal propagation in time-fractional electrodynamics. By simulating signal propagation in electromagnetic media using Maxwell's equations with fractional-order constitutive relations in the time domain, the equations in time-fractional electrodynamics can be considered as a continuous-time system of state-space equations in control engineering. Analytical solutions are derived for electromagnetic-wave propagation in the time-fractional media based on state-transition matrices, and discrete time zero-order-hold equivalent models are developed and their analytical solutions are derived. The proposed models yield the same results as other reference methods, but are more flexible in terms of the number of simulation scenarios that can be tackled due to the application of the finite-difference scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yuhao Zhao, Fanhao Guo, Deshui Xu
Summary: This study develops a vibration analysis model of a nonlinear coupling-layered soft-core beam system and finds that nonlinear coupling layers are responsible for the nonlinear phenomena in the system. By using reasonable parameters for the nonlinear coupling layers, vibrations in the resonance regions can be reduced and effective control of the vibration energy of the soft-core beam system can be achieved.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
S. Kumar, H. Roy, A. Mitra, K. Ganguly
Summary: This study investigates the nonlinear dynamic behavior of bidirectional functionally graded plates (BFG) and unidirectional functionally graded plates (UFG). Two different methods, namely the whole domain method and the finite element method, are used to formulate the dynamic problem. The results show that all three plates exhibit hardening type nonlinearity, with the effect of material gradation parameters being more pronounced in simply supported plates.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Isaac A. Garcia, Susanna Maza
Summary: This paper analyzes the role of non-autonomous inverse Jacobi multipliers in the problem of nonexistence, existence, localization, and hyperbolic nature of periodic orbits of planar vector fields. It extends and generalizes previous results that focused only on the autonomous or periodic case, providing novel applications of inverse Jacobi multipliers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yongjian Liu, Yasi Lu, Calogero Vetro
Summary: This paper introduces a new double phase elliptic inclusion problem (DPEI) involving a nonlinear and nonhomogeneous partial differential operator. It establishes the existence and extremality results to the elliptic inclusion problem and provides definitions for weak solutions, subsolutions, and supersolutions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shangshuai Li, Da-jun Zhang
Summary: In this paper, the Cauchy matrix structure of the spin-1 Gross-Pitaevskii equations is investigated. A 2 x 2 matrix nonlinear Schrodinger equation is derived using the Cauchy matrix approach, serving as an unreduced model for the spin-1 BEC system with explicit solutions. Suitable constraints are provided to obtain reductions for the classical and nonlocal spin-1 GP equations and their solutions, including one-soliton solution, two-soliton solution, and double-pole solution.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
