Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model by Naher Mohammed A. Alsafri, Hamad Zogan

“…With the incorporation of the Riccati equation, a close-form solution is then assumed for the resultant NODE by RMESEM, which converts the NODE into a set of algebraic equations. The fresh plethora of soliton results in the form of rational, exponential, rational-hyperbolic and periodic functional cases are obtained by addressing this set of equations. …”
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Noetherian and Artinian ordered groupoids—semigroups by Niovi Kehayopulu, Michael Tsingelis

“…Chain conditions, finiteness conditions, growth conditions, and other forms of finiteness, Noetherian rings and Artinian rings have been systematically studied for commutative rings and algebras since 1959. In pursuit of the deeper results of ideal theory in ordered groupoids (semigroups), it is necessary to study special classes of ordered groupoids (semigroups). …”
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Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics by Renato Luz, Gustavo Petronilo, Ademir de Santana, Caroline Costa, Ronni Amorim, Rendisley Paiva

“…Then, we quantized the Hamiltonian with the aid of stars operators in the phase space representation so that we can determine through the algebraic method the eigenfunctions of the undisturbed Hamiltonian (oscillator solution), and the other part of the Hamiltonian was the perturbation method. …”
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Composite Operator Method Analysis of the Underdoped Cuprates Puzzle by Adolfo Avella

“…COM is designed to endorse, since its foundation, the systematic emergence in any SCS of new elementary excitations described by composite operators obeying noncanonical algebras. In this case (underdoped cuprates—2D Hubbard model), the residual interactions—beyond a 2-pole approximation—between the new elementary electronic excitations, dictated by the strong local Coulomb repulsion and well described by the two Hubbard composite operators, have been treated within the noncrossing approximation. …”
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Uniform boundedness of $ (SL_2(\mathbb{C}))^{n} $ and $ (PSL_2(\mathbb{C}))^{n} $ by Fawaz Aseeri

“…Motivated by previously known results approximating $ \Delta(G) $ for any algebraic group $ G, $ we find the exact values of the conjugacy diameters of the direct product of finitely many copies of $ SL_2(\mathbb{C}) $ and the direct product of finitely many copies of $ PSL_2(\mathbb{C}). $ We also prove that if $ G_1, \dots, G_n $ be quasisimple groups such that $ G_i $ is uniformly bounded for each $ i\in \{1, \dots, n\}, $ then $ G_1\times\dots \times G_n $ is uniformly bounded. …”
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Adaptive Fuzzy Control for Attitude Stabilization of Spacecraft with Deployable Composite Laminated Solar Array by Wei Zhang, Weibing Zhu, Shijie Zhang, Xiangtian Zhao

“…In addition, the spacecraft dynamic model which integrated the adaptive fuzzy PD controller was derived as a set of differential-algebraic equations. Several simulations were developed to investigate the solar array deployment dynamics and to verify the effectiveness of the proposed adaptive fuzzy PD controller. …”
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Investigating the amounts of solutes and chemical elements found in the sources Drinking water in Khorramabad city by Sayad Asghari Saraskanrood, zeynab DolatShahi

“…To perform this research, data on the chemical element of 23 wells and fountains in Khorramabad County during the period of 2002 to 2013 were presented in the form of a series of elements: fluorine (F), calcium (Ca), magnesium (Mg), potassium (K) The ArcGIS software and the algebraic or deterministic internalization methods, geology, IDW method, Kriging method and splint method were used for mapping and drawing maps. …”
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Phase-lag mixed integral equation of a generalized symmetric potential kernel and its physical meanings in (3+1) dimensions by Azhar Rashad Jan

“…The degenerate method is employed to deduce the linear algebraic system (LAS). In addition, our endeavor yielded novel and distinct instances. …”
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Multibody Modeling Method for UHV Porcelain Arresters Equipped with Lead Alloy Isolation Device by Xiaochao Su, Lei Hou, Zhubing Zhu, Yushu Chen

“…Its mechanical characteristic is derived theoretically, and the obtained moment-angle relationship is expressed as a system of differential algebraic equations. The initial rotational stiffness of the device is formulated in terms of the structural and mechanical parameters of the device. …”
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Theoretical and numerical study of profit in agricultural sector model using wavelet method by Yeshwanth R., Kumbinarasaiah S.

“…The operational matrices are used to simplify fractional differential equations to an algebraic system of equations. Finally, we graphically depict the results and offer empirical support for our theoretical conclusions through graphic representations. …”
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High‐Resolution 3‐D Imaging of Daytime Sporadic‐E Over Japan by Using GNSS TEC and Ionosondes by Weizheng Fu, Nicholas Ssessanga, Tatsuhiro Yokoyama, Mamoru Yamamoto

“…First, on a coarse grid, the TEC data and a multiplicative algebraic reconstruction technique (MART) are used to reconstruct the F region from a smooth background. …”
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Application of the New Mapping Method to Complex Three Coupled Maccari’s System Possessing M-Fractional Derivative by Jan Martinovic, Aziz Ur Rehman, Muhammad Bilal Riaz

“…This is achieved through the utilization of M-Truncated fractional derivative with employing the new mapping method and computer algebraic syatem (CAS) such as Maple. The derived solutions in the form of hyperbolic and trigonometric functions. …”
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Robust Control Design for the Higher Harmonic Vibration Reduction of a Nonlinear Aeroservoelastic Rotor by Byeonguk Im, Kunhyuk Kong, Wonjong Eun, Sangjoon Shin

“…The proposed linearized vibration controller features closed-loop stability more rigorously than the conventional algebraic T-matrix-based controller. A relative multi-loop stability margin analysis was performed and examined using a nonlinear aeroservoelastic rotor software-in-the-loop simulation. …”
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Graded transcendental functions: an application to four-point amplitudes with one off-shell leg by Thomas Gehrmann, Johannes Henn, Petr Jakubčík, Jungwon Lim, Cesare Carlo Mella, Nikolaos Syrrakos, Lorenzo Tancredi, William J. Torres Bobadilla

“…Abstract Several recent works have demonstrated the powerful algebraic simplifications that can be achieved for scattering amplitudes through a systematic grading of transcendental quantities. …”
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Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations by Vicente S. Fuertes-Miquel, Oscar E. Coronado-Hernández, Francisco J. Sánchez-Romero, Manuel Saba, Modesto Pérez-Sánchez

“…The main advantage of this study lies in the ability to easily compute pressure surges without the need to solve a complex system of differential and algebraic equations. Numerous cases of filling operations were analysed to obtain dimensionless charts that can be used by water utilities to compute pressure surges during filling operations. …”
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Reducing M2 macrophage in lung fibrosis by controlling anti-M1 agent by Fatemeh Bahram Yazdroudi, Alaeddin Malek

“…The study employs a two-step process of discretization followed by optimization, utilizing the Galerkin spectral method to transform the M2 diffusion PDE into an algebraic system of ordinary differential equations (ODEs). …”
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A Novel Analytical Inverse Kinematics Method for SSRMS-Type Space Manipulators Based on the POE Formula and the Paden-Kahan Subproblem by Yecong Wang, Xilun Ding, Zixin Tang, Chengwei Hu, Qingqing Wei, Kun Xu

“…The analytical inverse kinematics of these two kinds of 6-DOF manipulators is solved by combining the Paden-Kahan subproblems and geometric and algebraic methods, respectively. The proposed approach is not only singularity free compared with the traditional DH-based methods but also more accurate than the POE-based numerical solution. …”
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Machine learning to identify environmental drivers of phytoplankton blooms in the Southern Baltic Sea by Maximilian Berthold, Pascal Nieters, Rahel Vortmeyer-Kley

“…Applying Sparse Identification of Nonlinear Dynamics uncovered algebraic relationships in phytoplankton:nutrient:external driver interactions. …”
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A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation by Abid Mahboob, Muhammad Asif, Muhammad Nadeem, Aysha Saleem, Sayed M. Eldin, Imran Siddique

“…In the new era of cryptography, Substitution Boxes (S-Boxes) are very important to raise confusion in cipher text and the security of encryption directly depends on the algebraic strength of S-box. To avoid a hacker attack, researchers are focusing on creating dynamic S-boxes that are much stronger. …”
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Voltage Stability Analysis of Front-End Speed Controlled Wind Turbine Integrated into Regional Power Grid Based on Bifurcation Theory by Kaide Ren, Hongwei Li, Shuaibing Li, Haiying Dong

“…Firstly, differential-algebraic equations (DAEs) describing the dynamic characteristics of the wind turbine are given and the mathematical model of the system includes FSCWT is established. …”
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