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Algorithms, 2022 The article offers a possible treatment for the numerical research of tasks which require searching for an absolute optimum. This approach is established by employing both globalized nature-inspired methods as well as local descent methods for ...
Pavel Sorokovikov, Alexander Gornov
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Integrability Properties of the Slepyan–Palmov Model Arising in the Slepyan–Palmov Medium
Mathematics, 2023 This study investigates the Slepyan–Palmov (SP) model, which describes plane longitudinal waves propagating within a medium comprising a carrier medium and nonlinear oscillators.
Muhammad Usman +4 more
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Optimization and Engineering, 2022 Hyperloop system design is a uniquely coupled problem because it involves the simultaneous design of a complex, high-performance vehicle and its accompanying infrastructure. In the clean-sheet design of this new mode of high-speed mass transportation there is an excellent opportunity for the application of rigorous system optimization techniques.
Kirschen, Philippe, Burnell, Edward
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Robustness Assessments of Urban Rail Transit Networks Based on Network Utilization
IEEE Access, 2021 Urban rail transit has become an important traffic mode in large cities and has brought great conveniences to urban residents, however traffic accidents often occur in daily operations, therefore the safety and robustness must be paid more attention.
Wenchao Shao +3 more
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Optimal superluminal systems [PDF]
Physical Review E, 2005 We demonstrate that significant effects in the "superluminal propagation"of light-pulses cannot be observed without involving systems whose gain explodes outside the pulse spectrum. We explicitly determine the minimum norm of the gain to attain given superluminal effects and the transfer function of the corresponding optimal system.
Macke, Bruno +2 more
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Nonlinear Engineering, 2021 Studies on Non-linear evolutionary equations have become more critical as time evolves. Such equations are not far-fetched in fluid mechanics, plasma physics, optical fibers, and other scientific applications.
Tiwari Ashish, Sharma Kajal, Arora Rajan
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A New Technique to Achieve Torsional Anchor of Fractional Torsion Equation Using Conservation Laws
Fractal and Fractional, 2023 The main idea in this research is introducing another approximate method to calculate solutions of the fractional Torsion equation, which is one of the applied equations in civil engineering. Since the fractional order is closed to an integer, we convert
Nematollah Kadkhoda +3 more
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Classification of Lie Subalgebras up to an Inner Automorphism [PDF]
Journal of Algebraic Systems, 2014 In this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in ...
Seyed Reza Hejazi
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Exact Solutions for the KMM System in (2+1)-Dimensions and Its Fractional Form with Beta-Derivative
Fractal and Fractional, 2022 Fractional calculus is useful in studying physical phenomena with memory effects. In this paper, the fractional KMM (FKMM) system with beta-derivative in (2+1)-dimensions was studied for the first time.
Lihua Zhang +4 more
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Lie symmetry analysis for generalized short pulse equation
Open Physics, 2022 Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong +4 more
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