Results 11 to 20 of about 16,824,251 (212)
Exact Solutions of Two Nonlinear Partial Differential Equations by the First Integral Method
, 2020 In recent years, many methods have been used to find the exact solutions of nonlinear partial differential equations. One of them is called the first integral method, which is based on the ring theory of commutative algebra.
Qingmei Zhang, Mei Xiong, Longwei Chen
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Structure-preserving model reduction for dynamical systems with a first integral [PDF]
Japan journal of industrial and applied mathematics, 2018 Since the expense of the numerical integration of large scale dynamical systems is often computationally prohibitive, model reduction methods, which approximate such systems by simpler and much lower order ones, are often employed to reduce the ...
Y. Miyatake
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Kyushu Journal of Mathematics, 1995 The Bohr-Mollerup theorem asserts that the gamma function \(\Gamma (a)\) is the only function defined for \(a > 0\) such that (i) \(\Gamma (a) > 0\), (ii) \(\Gamma (1) = 1\), (iii) \(a \Gamma (a) = \Gamma (a + 1)\), and (iv) \(\Gamma (a)\) is logarithmically convex. The authors use this to prove the well-known result (1) \(\zeta' (0,a) = \log \Gamma (a)
CHOI, Junesang, NAM, Young Man
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Organizational Dynamics, 2013 Senior-level executives identify integrity as the most important characteristic for effective leaders and followers. We agree that integrity is vital, but not the only important ethical issue in leadership. We set forth an ethical framework as the basis for examining ethical leadership and followership in organizations.
Quick, James, Goolsby, John L.
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Feedback Integrators for Mechanical Systems with Holonomic Constraints
Sensors, 2022 The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve ...
Dong Eui Chang +2 more
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First Integrals and Symmetries of Nonholonomic Systems
Archive for Rational Mechanics and Analysis, 2022 AbstractIn nonholonomic mechanics, the presence of constraints in the velocities breaks the well-understood link between symmetries and first integrals of holonomic systems, expressed by Noether’s Theorem. However, there is a known special class of first integrals of nonholonomic systems generated by vector fields tangential to the group orbits, called
Balseiro, Paula, Sansonetto, Nicola
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Fractal and Fractional, 2022 The propagation of optical soliton profiles in plasma physics and atomic structures is represented by the (1+1)− dimensional Schrödinger dynamical equation, which is the subject of this study.
Muhammad Abu Bakar +4 more
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A Review of Matrix SIR Arino Epidemic Models
Mathematics, 2021 Many of the models used nowadays in mathematical epidemiology, in particular in COVID-19 research, belong to a certain subclass of compartmental models whose classes may be divided into three “(x,y,z)” groups, which we will call respectively “susceptible/
Florin Avram +2 more
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First Integrals of Differential Operators from SL(2,ℝ) Symmetries
Mathematics, 2020 The construction of first integrals for SL(2,R)-invariant nth-order ordinary differential equations is a non-trivial problem due to the nonsolvability of the underlying symmetry algebra sl(2,R).
Paola Morando +2 more
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Symmetry, 2019 In this work, we establish the exact solutions of some mathematical physics models. The first integral method (FIM) is extended to find the explicit exact solutions of high-dimensional nonlinear partial differential equations (PDEs).
Shumaila Javeed +5 more
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