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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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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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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Comparison of Different Approaches to Construct First Integrals for Ordinary Differential Equations
Abstract and Applied Analysis, 2014 Different approaches to construct first integrals for ordinary differential equations and systems of ordinary differential equations are studied here. These approaches can be grouped into three categories: direct methods, Lagrangian or partial Lagrangian
Rehana Naz +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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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.
openaire +3 more sources
On the generic nonexistence of first integrals [PDF]
Proceedings of the American Mathematical Society, 1986 The property of having no C n {C^n}
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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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A non-conventional discontinuous Lagrangian for viscous flow [PDF]
Royal Society Open Science, 2017 Drawing an analogy with quantum mechanics, a new Lagrangian is proposed for a variational formulation of the Navier–Stokes equations which to-date has remained elusive.
M. Scholle, F. Marner
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