Results 31 to 40 of about 16,555,549 (335)
Families of Solutions of Multitemporal Nonlinear Schrödinger PDE
Mathematics, 2021 The multitemporal nonlinear Schrödinger PDE (with oblique derivative) was stated for the first time in our research group as a universal amplitude equation which can be derived via a multiple scaling analysis in order to describe slow modulations of the ...
Cristian Ghiu +2 more
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Optimal Shape and First Integrals for Inverted Compressed Column
Mathematics, 2020 We study optimal shape of an inverted elastic column with concentrated force at the end and in the gravitational field. We generalize earlier results on this problem in two directions.
Enes Kacapor +2 more
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Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2023 We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard
Hasan Kara, Samet Erden, Huseyin Budak
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Hypergeometric first integrals of the Duffing and van der Pol oscillators [PDF]
Journal of Differential Equations, 2017 The autonomous Duffing oscillator, and its van der Pol modification, are known to admit time-dependent first integrals for specific values of parameters.
Tomasz Stachowiak
semanticscholar +1 more source
On a Class of Integrable Systems with a Cubic First Integral [PDF]
Communications in Mathematical Physics, 2010 A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these models hinged on the solution of a nonlinear third order ordinary differential equation which could not be obtained.
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Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures
Mathematics, 2021 In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo +2 more
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Meromorphic Non-Integrability of Several 3D Dynamical Systems
Entropy, 2017 In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge ...
Kaiyin Huang, Shaoyun Shi, Wenlei Li
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Noetherian first integrals [PDF]
Journal of Nonlinear Mathematical Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leach, P. G. L., Flessas, G. P.
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On foliations with rational first integral [PDF]
Proyecciones (Antofagasta), 2017 We use the Kodaira’s classification of relatively minimal elliptic fi- brations to prove that a holomorphic foliation in CP2 with a dicritical compact elliptic curve has rational first integral.
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Darboux and rational first integrals for a family of cubic three dimensional system
Zanco Journal of Pure and Applied Sciences, 2021 In this paper, we investigate the first integrals of the following system where and , . This kind of system is a special case of three-dimensional polynomial cubic differential systems.
Sarbast H. Mikaeel , Azad I. Amen
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